BEGIN:VCALENDAR
VERSION:2.0
METHOD:PUBLISH
PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2070b5@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240425T103000
DTEND;TZID=America/New_York:20240425T113000
CATEGORIES:Professional Development Seminar
SUMMARY:Anne Gelb: A discussion about the funding landscape for
mathematicians
DESCRIPTION:The purpose of this seminar is to have a discussion
about the various federal funding opportunities for mathematicians.
Some basic information regarding various agencies will be provided\,
in terms of what the range of opportunities are. We will discuss
some strategies for applying to different types of agencies\, and
provide factual information to help guide them\, along the way
addressing some long term misunderstandings regarding how funding is
obtained. As this session will be discussion based\, please bring
your questions.
LOCATION:Kemeny 120
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207115@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240425T103000
CATEGORIES:Thesis Defence
SUMMARY:Yixin (Kathy) Lin: Penney's game for permutations
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207153@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240425T132000
DTEND;TZID=America/New_York:20240425T142000
CATEGORIES:Geometry Seminar
SUMMARY:Diana Davis: Periodic billiard paths on regular polygons
DESCRIPTION:Mathematicians have long understood periodic
trajectories on the square billiard table\, which occur when the
slope of the trajectory is rational. In this talk\, I'll explain my
joint work with Samuel Lelièvre on periodic trajectories on other
regular polygons\, describing their geometry\, symbolic dynamics\,
and group structure. The periodic trajectories are very beautiful\,
and some of them exhibit a surprising "dense but not
equidistributed" behavior.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20719d@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240425T151500
CATEGORIES:Math Colloquium
SUMMARY:Evrydiki Nestoridi: Limit Profiles of Reversible Markov
chains
DESCRIPTION:It all began with card shuffling. Diaconis and
Shahshahani studied the random transpositions shuffle\; pick two
cards uniformly at random and swap them. They introduced a Fourier
analysis technique to prove that it takes $1/2 n \\log n$ steps to
shuffle a deck of $n$ cards this way. Recently\, Teyssier extended
this technique to study the exact shape of the total variation
distance of the transition matrix at the cutoff time from the
stationary measure\, giving rise to the notion of a limit profile.
In this talk\, I am planning to discuss a joint work with
Olesker-Taylor\, where we extend the above technique from conjugacy
invariant random walks to general\, reversible Markov chains. I will
also present a new technique that allows us to study the limit
profile of star transpositions\, which turns out to have the same
limit profile as random transpositions\, and I will discuss open
questions and conjectures.
LOCATION:Kemeny 007
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2071e6@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240430T103000
DTEND;TZID=America/New_York:20240430T113000
CATEGORIES:Combinatorics Seminar
SUMMARY:GaYee Park: Generalized parking function and
three-dimensional Lindström--Gessel--Viennot Lemma
DESCRIPTION:The “classical” parking functions of length n is
counted by the formula (n+1)n-1. They correspond bijectively to the
standard Young tableaux (SYT) of skew-shape (α + 1n) / α\, where
α is any partition under λ = (n-1\, ...\, 2\, 1). There is a
natural symmetric group action on these parking functions\, where
the orbit is counted by the Catalan number (1 / (n+1)) binom(2n\,
n). Then the Frobenius character of this action over all SYT of
shapes (α + 1n) / α is given by the sum of all skew Schur
functions s_{(α + 1n) / α}(x). In this talk we generalize this
notion to any partition λ and study the combinatorics of the
generalized parking function by relating them to non-crossing
lattice paths. This is a joint work with François Bergeron and Yan
Lanciault.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20722f@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240430T142500
DTEND;TZID=America/New_York:20240430T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Isabel Vogt: Obstructions to rationality of conic bundles
threefolds
DESCRIPTION:In this talk I'll discuss joint work with Sarah Frei\,
Lena Ji\, Soumya Sankar and Bianca Viray on the problem of
determining when a geometrically rational variety is birational to
projective space over its field of definition. Our main interest is
the rationality problem for conic bundles over $\\mathbb{P}^2$ with
quartic discriminant curve\, where there exist both rational and
irrational examples over nonclosed fields. In order to show that
such a threefold is rational\, you need to exhibit a ``rationality
construction'' -- some birational map to $\\mathbb{P}^3$. On the
other hand\, to show that it is irrational\, you need to exhibit a
``rationality obstruction'' -- some property of $\\mathbb{P}^3$ that
is preserved by birational maps but does not hold for your variety.
I'll discuss the powerful intermediate Jacobian torsor obstruction\,
and give our perspective on why it is insufficient to explain
rationality in this case.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207274@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240430T143000
DTEND;TZID=America/New_York:20240430T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Eva Loeser: Fluid Limit for a Stochastic Model of Enzymatic
Processing with General Distributions
DESCRIPTION:In this talk\, we consider a stochastic chemical
reaction system arising as a model for enzymatic processing in a
cell. This can also be thought of as a multi-server multiclass queue
with reneging operating under the random order of service
discipline. Stochastic primitives for the model such as
production/interarrival times\, processing/service times\, and
lifetimes are assumed to be generally distributed. We establish a
fluid limit for a measure-valued process that keeps track of the
remaining lifetime for each entity in the system. We prove
uniqueness for fluid model solutions under mild conditions and study
the asymptotic behavior of fluid model solutions as time goes to
infinity. This talk is based on joint work with Ruth Williams.
LOCATION:Zoom
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2072b8@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240501T140000
CATEGORIES:Thesis Defence
SUMMARY:Alina Glaubitz: Exploring Group Behavior through
Evolutionary Game Theory: Disease Dynamics\, Cooperation\, and
Reputation
DESCRIPTION:Cooperation is fundamental in the natural world and
crucial to modern society\, particularly in managing public health
crises such as infectious diseases. This thesis investigates the
evolutionary dynamics of cooperation\, focusing on its role in
combating infectious diseases\, exemplified by the recent COVID-19
pandemic. We first examine the social dilemma posed by
non-pharmaceutical interventions\, such as social distancing and
face covering. We integrate these interventions into models of
disease dynamics\, revealing an oscillatory tragedy of the commons:
as infection rates fall\, public adherence to social distancing
wanes\, leading to subsequent infection surges. Expanding the model
to include less effective and more cost-efficient social distancing
measures demonstrates that these imperfect strategies must achieve a
certain level of effectiveness to gain acceptance by the public.
Furthermore\, the findings indicate that once people adopt milder
measures\, they are unlikely to revert to more stringent
ones.\nFurther\, we analyze the implications of varying levels of
vaccination compliance. Our findings suggest that heterogeneity in
vaccine uptake\, compounded by social homophily\, can lead to more
complex and challenging epidemic control scenarios. In particular\,
we show that these factors can exacerbate phenomena like backward
bifurcations. Additionally\, we explore public health strategies as
public goods games\, focusing on the impact of incentives on
maintaining cooperation. Using adaptive dynamics\, we demonstrate
that rewarding consistent cooperation can result in the evolutionary
branching into distinct groups of volunteers and free-riders.
Lastly\, we study the role of reputation in fostering cooperation\,
introducing a model that differentiates the speed of reputation
updates based on individual actions versus those of co-players. This
differentiation reveals a critical balance between fostering
cooperation and preventing the invasion of defectors.\nEach section
of this thesis contributes to a more nuanced understanding of how
evolutionary principles can inform and improve public health
strategies against infectious diseases.
LOCATION:Carson L01
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20730d@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240502T151500
CATEGORIES:Math Colloquium
SUMMARY:Isabel Vogt: Interpolation problems for curves.
DESCRIPTION:The interpolation problem is one of the oldest in
mathematics. In its most broad form it asks: when can a curve of a
given type be passed through a given number of points? I'll survey
work on the interpolation problem from Euclid to the modern day\,
ending with recent joint work of mine with Eric Larson.
LOCATION:Kemeny 007
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20734e@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240506T143000
DTEND;TZID=America/New_York:20240506T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY: Bohan Zhou: Acceleration for MCMC methods on discrete
states
DESCRIPTION:As ChatGPT and Midjourney rise to prominence on a global
scale\, generative models have captivated the public’s attention.
This talk explores the concept of flow-based generative models aimed
at achieving a target distribution. We focus on designing a
Markov-chain (for discrete time) or a flow (for continuous time) to
converge from a simple initial distribution to the desired target.
Specifically\, we propose a Nesterov type method to enhance the
efficiency of the classical Markov Chain Monte Carlo (MCMC)
algorithm (for example\, Metropolis-Hastings algorithms) on finite
graphs. We interpret MCMC on a finite graph as the gradient flow of
a divergence functional and incorporate the concept of
“momentum” inspired by the Nesterov acceleration method. This
addition allows us to propose a second-order ODE in the probability
space\, which can be viewed as the accelerated version of MCMC
process. At last\, we provide analysis to justify the convergence of
the algorithm and numerical examples to validate the effectiveness
of our approach.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207396@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240507T103000
DTEND;TZID=America/New_York:20240507T113000
CATEGORIES:Combinatorics Seminar
SUMMARY:Anna Pun: TBA
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2073d3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240507T130000
DTEND;TZID=America/New_York:20240507T140000
CATEGORIES:Professional Development Seminar
SUMMARY:Olivia J. Chu\, Rebecca Hardenbrook\, Mohammad Javad Latifi
Jebelli\, Tristan M. Phillips\, and Longmei Shu: Postdoc panel
DESCRIPTION:Our postdocs will share their experience of being
graduate students and postdocs. How does the application process for
postdoc position look like? Come and ask questions!
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207419@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240507T142500
DTEND;TZID=America/New_York:20240507T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:James Hotchkiss: Complexes of stable birational invariants
DESCRIPTION:In the study of the rationality problem for algebraic
varieties\, a common situation is that one has a smooth variety
degenerating to a singular one\, and one wishes to find computable
invariants of the special fiber which obstruct the rationality of
the general fiber. I will explain a general formalism for
constructing such invariants\, valued in the homotopy category of an
abelian category. Joint with David Stapleton.
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20745c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240509T132000
DTEND;TZID=America/New_York:20240509T142000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Joel Rosenfeld: Operator Decompositions for Inverse Problems
DESCRIPTION:Dynamic Mode Decomposition is a tool to extract a
reduced order model of time series data that has seen a lot of
success in the analysis of fluid dynamical data. Originally\, DMD
began as a matrix decomposition approach\, introduced by Schmidt in
2008. Over the past decade\, DMD has evolved to involve the Koopman
operator as a theoretical underpinning. The Koopman operator
exchanges a finite dimensional nonlinear dynamical system for a
linear operator over an infinite dimensional function space.\n\nWe
will examine Koopman based DMD from the perspective of kernel
functions and as a methodology for resolving a certain class of
inverse problems. We will then give a general framework for handling
inverse problems through function theoretic operators and kernel
spaces. The talk will conclude with a variety of examples\,
including scattered data approximation and other problems.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2074a0@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240513T100000
DTEND;TZID=America/New_York:20240513T110000
CATEGORIES:Professional Development Seminar
SUMMARY:Jean Steiner: A career in math and data
DESCRIPTION:I will give a short overview of how my career has
evolved from pure mathematician to data scientist and I will share
some of my favorite pieces of career advice. Then I will give a few
flavors of some of the projects data scientists at Google might work
on. I will aim to leave lots of time for questions!
LOCATION:Kemeny 343 and on Zoom
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2074e1@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240514T142500
DTEND;TZID=America/New_York:20240514T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Alvaro Lozano-Robledo: Galois representations attached to CM
elliptic curves and their applications
DESCRIPTION:In this talk we will discuss several applications of a
recent classification of $\\ell$-adic Galois representations
attached to CM elliptic curves: computing adelic images attached to
CM elliptic curves\, maximal abelian extensions in their division
fields\, and models of CM elliptic curves with a given $\\ell$-adic
Galois representation. These are ongoing projects in collaboration
with Enrique González-Jiménez (UAM)\, Asimina Hamakiotes (UConn)\,
and Benjamin York (UConn).
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207524@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240514T143000
DTEND;TZID=America/New_York:20240514T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:James Siderius: How AI Aggregators Affect Knowledge Sharing
DESCRIPTION:Recent advancements in AI have brought great promise to
more efficiently aggregate and deliver information\, but also raise
concerns about their tendency to exacerbate existing biases
entrenched in society. In this talk\, we formalize this tradeoff by
extending the DeGroot model of network learning to incorporate AI
aggregators. We model these aggregators as nodes in the network that
take as input beliefs from the population (“training data”) and
communicate synthesized beliefs (“answers to queries”). We show
that the feedback loop between AI input and output tends to amplify
the majority opinion\, a phenomenon known as model collapse\, and
can degrade the quality of information sharing in equilibrium under
some mild conditions. In doing so\, we also contrast the case of a
single global aggregator (e.g.\, ChatGPT) to many local aggregators
(e.g.\, Internet forums) to provide general conditions under which
AI aggregators help or hinder wisdom in society. This is joint work
with Daron Acemoglu\, Darren Lin\, and Asuman Ozdaglar.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20756c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240515T180000
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Anne Schilling: How to get to the moon playing the 15 puzzle
DESCRIPTION:Probability is the mathematical study of how likely an
event occurs or a proposition is true. Representation theory\nis the
study of algebraic structures by realizing their elements as linear
maps on vector spaces or modules\nand decomposing them into their
smallest constituents. Both probability and representation theory
lend themselves to combinatorial analysis.\nIn this talk we explore
how to exploit combinatorial tools (similar to the 15 puzzle) to
answer deep questions in probability and representation\ntheory\, in
particular those that helped to get mankind to the moon.\n
LOCATION:Kemeny 008
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2075b0@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240516T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Anne Schilling: The ubiquity of crystal bases
DESCRIPTION:Crystal bases are combinatorial skeletons of Lie algebra
representations. They appeared in the work of Kashiwara\, Lusztig
and Littelmann on quantum groups and the geometry of flag varieties.
Crystal bases arise in many unexpected places\, from mathematical
physics to probability and number theory. In this talk\, I will
showcase ten reasons and applications of how crystal theory can be
used to solve problems in representation theory\, geometry and
beyond.
LOCATION:Kemeny 007
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2075f3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240517T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Anne Schilling: From quasi-symmetric to Schur expansions via
the inverse quasi-Kostka matrix
DESCRIPTION:It is an important problem in algebraic combinatorics to
deduce the Schur function expansion of a symmetric function\,
whose\nexpansion in terms of the fundamental quasisymmetric function
is known. For example\,\nformulas are known for the fundamental
expansion of a Macdonald symmetric function and for the plethysm of
two\nSchur functions\, while the Schur expansions of these
expressions are still elusive.\nEgge\, Loehr and Warrington provided
a method to obtain the Schur expansion\nfrom the fundamental
expansion by replacing each quasisymmetric function by a Schur
function\n(not necessarily indexed by a partition) and using
straightening rules to obtain the Schur\nexpansion. Here we provide
a new method which only involves the coefficients of the
quasisymmetric functions\nindexed by partitions and the quasi-Kostka
matrix. As an application\, we prove the lexicographically largest
term\nin the Schur expansion of the plethysm of two Schur functions
and the Schur expansion of $s_w[s_h](x\,y)$ for $w=2\,3\,4$\nusing
novel symmetric chain decompositions of Young's lattice for
partitions in a $w\\times h$ box.\nThis is based on joint work with
Rosa Orellana\, Franco Saliola and Mike Zabrocki.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20763c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240521T103000
DTEND;TZID=America/New_York:20240521T113000
CATEGORIES:Combinatorics Seminar
SUMMARY:Josh Hallam: The Shi Arrangement and Pointed Partitions
DESCRIPTION:Abstract: The Shi arrangement and pointed partitions
arise from different areas of combinatorics. Nevertheless\, it is
known that the intersection poset of the Shi arrangement and the
poset of pointed partitions have the same characteristic polynomial.
In this talk\, we give an explanation for this fact by using the
notion of homogeneous quotient posets. More specifically\, we show
that there is a natural way to quotient the intersection poset of
the Shi arrangement to get the poset of pointed partitions. Along
the way\, we give a new way to describe the intersection poset of
the Shi arrangement in terms of a special type of shuffle. Time
permitting we will also discuss the Ish arrangement as well.\n\nThis
is joint work with an undergraduate student Alex Abrams.
LOCATION:On Zoom
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207680@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240521T130000
DTEND;TZID=America/New_York:20240521T140000
CATEGORIES:Professional Development Seminar
SUMMARY:John Voight: Giving seminar talks
DESCRIPTION:We will give some tips and tricks for giving good
seminar\ntalks\, with a focus on storytelling.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2076bf@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240521T142500
DTEND;TZID=America/New_York:20240521T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Lisa Marquand: The defect of a cubic threefold
DESCRIPTION:The defect of a cubic threefold with isolated
singularities is a measure of the failure of Poincare duality\, and
also the failure to be Q-factorial. From the work of Cheltsov\, a
cubic threefold with only nodal singularities is Q factorial if and
only if there are at most 5 nodes. We investigate the defect of
cubic threefolds with worse than nodal isolated singularities\, and
provide a geometric method to compute this global invariant. One can
then compute the Mixed Hodge structure on the middle cohomology of
the cubic threefold\, in terms of the defect (a global invariant)
and local invariants (Du Bois and Link invariants) determined by the
singularity types. We then relate the defect to geometric properties
of the cubic threefold\, showing it is positive if and only if the
cubic contains a plane or a rational normal cubic scroll. The focus
of this work is to provide more insight into the existence of
reducible fibers for compactified intermediate jacobian fibrations
associated to a smooth (not necessarily general) cubic fourfold.
This is joint work with Sasha Viktorova.
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207706@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240521T143000
DTEND;TZID=America/New_York:20240521T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Kui Ren: Inverse problems to mean field game systems:
analysis and computation
DESCRIPTION:Mean field game models have been developed in different
application areas. We will provide an overview of recent
developments in inverse problems to mean field game models where we
are interested in reconstructing missing information from observed
data. We present a few different scenarios where differential data
allows for the unique identification of model parameters in various
forms\, as well as numerical methods for computing the inverse
solutions.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207749@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240523T132000
DTEND;TZID=America/New_York:20240523T142000
CATEGORIES:Geometry Seminar
SUMMARY:Daniel Mitsutani: Symmetries of geodesic flows on covers and
rigidity
DESCRIPTION:An old result of Bochner proves that closed Riemannian
manifolds of negative Ricci curvature admit only finitely many
isometries. On the other hand\, work beginning with Eberlein\, and
later extended by Farb and Weinberger\, shows that rigidity in the
presence of too many isometries still occurs provided one looks at
covers of a closed manifold of negative sectional curvature to find
“hidden symmetries”: Eberlein proves that a closed Riemannian
manifold of negative sectional curvatures admitting infinitely many
isometries of its universal cover must be locally symmetric.\n\nFrom
the dynamical perspective\, hyperbolic dynamical systems also
display such a phenomenon: if the centralizer group of a hyperbolic
dynamical system is too large often it is conjugate to an algebraic
one. In this talk we will consider hidden symmetries of the
hyperbolic dynamical system given by the geodesic flow of a manifold
of negative sectional curvatures. We will introduce an appropriate
notion of a centralizer for the geodesic flow on the universal
cover\, and prove that when it is not discrete the metric must be
locally symmetric.
LOCATION:Kemeny Hall 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20778f@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T093000
DTEND;TZID=America/New_York:20240528T100000
CATEGORIES:Thesis Defence
SUMMARY:Arturo Serrano Borrero\, Advisor: Olivia Chu: A
Survey-Informed Evolutionary Opinion Dynamics Model of Political
Activism with an Application to the 2022 Panamanian Protests
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2077cc@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T103000
DTEND;TZID=America/New_York:20240528T110000
CATEGORIES:Thesis Defence
SUMMARY:Rachel Matthew\, Advisor: Peter Mucha: Network Construction
and Partitioning Methods for Functional Connectivity Analysis of
Neural States Across Subjects
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207809@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T111500
DTEND;TZID=America/New_York:20240528T114500
CATEGORIES:Thesis Defence
SUMMARY:Daniel Carstensen\, Advisors: Peter Mucha and Jeremy
Manning: Translating Neurophysiological Recordings Into Dynamic
Estimates of Conceptual Knowledge and Learning
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207846@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T120000
DTEND;TZID=America/New_York:20240528T123000
CATEGORIES:Thesis Defence
SUMMARY:Calvin George\, Advisor: John Voight: On the Genera of
Modular Curves
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207882@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T124500
DTEND;TZID=America/New_York:20240528T131500
CATEGORIES:Thesis Defence
SUMMARY:Amya Luo\, Advisor: Sergi Elizalde: Pattern Avoidance in
Nonnesting Permutations
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2078be@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T133000
DTEND;TZID=America/New_York:20240528T140000
CATEGORIES:Thesis Defence
SUMMARY:Yunjin Tong\, Advisor: Yoonsang Lee: Bayesian Inference for
Stochastic Predictions of Non-Gaussian Systems with Applications in
Climate Change
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2078fc@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T140000
DTEND;TZID=America/New_York:20240528T160000
CATEGORIES:Special Event
SUMMARY:Undergraduate Poster Session
DESCRIPTION:Presentation of research projects done this academic
year.
LOCATION:Kemeny First Floor
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da20793a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240528T143000
DTEND;TZID=America/New_York:20240528T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Anton Bovier: A branching random walk with self repulsion
DESCRIPTION:We consider a discrete time branching random walk where
each particle splits into two at integer times and the offspring
move independently by a normal random variable. We introduce a
penalty that penalises particles that get within a distance epsilon
of each other. We analyse the most likely configurations of
particles under the tilted measure for a fixed time horizon N. It
turns out that spread very quickly to a distance 2^{2N/3} and show a
very abrupt change in behaviour at time 2N/3. This is joint work
with Lisa Hartung\, Frank den Hollander and Stefan Müller.
LOCATION:Zoom
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207987@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240530T120000
DTEND;TZID=America/New_York:20240530T133000
CATEGORIES:Special Event
SUMMARY:BBQ for Math Majors and Minors
LOCATION:Kemeny/Haldeman Patio
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da2079c2@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240530T132000
DTEND;TZID=America/New_York:20240530T142000
CATEGORIES:Geometry Seminar
SUMMARY:Dave Constantine: Geodesic flow on CAT(-1) and (some) CAT(0)
spaces
DESCRIPTION:How do we define geodesic flow on a metric space? Which
of the nice dynamical properties of geodesic flow on negatively or
nonpositively curved Riemannian manifolds can we prove for their
metric space analogues: CAT(-1) and CAT(0) spaces? In this talk I'll
discuss some results on the geodesic flow for CAT(-1) spaces
obtained jointly with Jean-Francois Lafont and Dan Thompson. Then I
will report on some recent work with Ben Call\, Alena Erchenko\,
Noelle Sawyer\, and Grace Work on geodesic flow for flat surfaces
with large-angle cone point singularities. These spaces include
translation surfaces\, and provide a first step in the direction of
extending our results to the CAT(0) setting.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207a05@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250127T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Joshua Plotkin: Kemeny Lecture Colloquium Talk
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207a43@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250127T180000
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Joshua Plotkin: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207a80@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250128T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Joshua Plotkin: TBA Kemeny Lecture Seminar talk
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207abc@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250207T151500
CATEGORIES:∿ Lahr Lecture ∿
SUMMARY:Emily Riehl: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207af9@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250207T180000
CATEGORIES:∿ Lahr Lecture ∿
SUMMARY:Emily Riehl: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207b38@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250310T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Joshua Plotkin: Kemeny Colloquium Backup
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207b75@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250310T180000
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Joshua Plotkin: TBA Kemeny Lecture back up
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20240525T023202Z
UID:20240524T22320266514da207bb2@math.dartmouth.edu
DTSTART;TZID=America/New_York:20250311T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Joshua Plotkin: Kemeny Lecture Seminar Backup
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
END:VCALENDAR