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VERSION:2.0
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PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cca68@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230912T142500
DTEND;TZID=America/New_York:20230912T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:John Voight: Polarized class sets of quaternion orders
DESCRIPTION:For a definite quaternion order\, the class number
formula\nexpresses the number of isomorphism classes of (right)
invertible\nideals in terms of arithmetic invariants of the order. A
related\nspinor class number formula was recently proven by Jiangwei
Xue and\nChia-Fu Yu\, using elaborate calculations with the Selberg
trace\nformula. We give an alternate proof for this formula using a
direct\,\nconceptual argument: we interpret the set counted by this
formula as a\npolarized class set.
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccad6@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230912T143000
DTEND;TZID=America/New_York:20230912T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Eugene Demidenko: M-statistics: Optimal Statistical
Inference for a Small Sample
DESCRIPTION:This talk presents a recently published book with the
same title. \n\nWe start with the 250-year-old problem of estimation
binomial probability. The classic estimator\, as the proportion of
successes\, m/n\, contradicts common sense when the event does not
happen or happens all the time. We revive Laplace’s law of
succession estimator\, (m+1)/(n+2)\, using a new statistical
theory\, M-statistics. Neither mean nor variance plays a role in the
new theory. The current practice of statistical inference relies on
asymptotic methods (large n)\, such as maximum likelihood (ML). The
small-sample exact statistical inference is available only for a few
examples\, primarily linear models. Our theory requires a statistic
with a known cumulative distribution function dependent on an
unknown parameter. Two parallel competing tracks of inferences are
offered under the umbrella of M-statistics: maximum concentration
(MC) and mode (MO) statistics\, which is why M=MC+MO. Having an
optimal exact dual double-sided confidence interval (CI) and test\,
the point estimator is derived as the limit point of the CI when the
confidence level approaches zero. When a statistic is sufficient\,
the MO-estimator\, as the limit of the unbiased CI\, coincides with
the ML estimator. Our theory extends to multi-parameter statistical
inference. Multiple examples illustrate the talk. \n\nThis talk is
accessible to undergraduate students who took elementary
probability/statistics course.
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccb22@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230914T100000
CATEGORIES:Topology Seminar
SUMMARY:Evgeniy Scepin: Application of topology to optical
recognition of handwritten characters.
DESCRIPTION:Abstract: Every handwritten symbol consists of several
lines. These lines may intersect. Therefore\, each symbol
corresponds to a graph whose vertices correspond to the intersection
points of the lines and their ends\, and the edges correspond to the
line segments enclosed between the vertices. A scanned image of a
symbol representing a Boolean matrix is fed to the input of the
recognition program. On the image matrix\, the lines become
"thick"\, interference also occurs there. The report will tell you
how to reduce the image so as to get a correct graph of the symbol\,
whose edges on the matrix are represented by thin (pixel-thick)
lines that preserve the shape of the original ones.
LOCATION:Zoom ID 870 912 2782 Please ask Vladimir Chernov for the
password
URL:https://math.dartmouth.edu/~topology/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccb63@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230914T131500
DTEND;TZID=America/New_York:20230914T141500
CATEGORIES:Combinatorics Seminar
SUMMARY:Natasha Blitvic: Combinatorial moment sequences
DESCRIPTION:Take your favorite integer sequence. Is this sequence a
sequence of moments of some probability measure on the real line? We
will look at a number of interesting examples (some proven\, others
merely conjectured) of moment sequences in combinatorics. We will
consider ways in which this positivity may be expected (or
surprising!)\, the methods of proving it\, and the consequences of
having it. The problems we will consider will be very simple to
formulate\, but will take us up to the very edge of current
knowledge in combinatorics\, ‘classical’ probability\, and
noncommutative probability.
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccba1@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230914T132000
DTEND;TZID=America/New_York:20230914T142000
CATEGORIES:Geometry Seminar
SUMMARY:Alena Erchenko: Marked boundary rigidity for Anosov type
surfaces
DESCRIPTION:Consider a smooth compact connected oriented surface
with boundary of Anosov type\, i.e.\, it has a strictly convex
boundary\, no conjugate points\, and hyperbolic trapped set. We
prove that if two metrics of Anosov type have same marked boundary
distance\, then they are isometric. One of the main ingredients is a
new transfer principle showing that the marked length spectrum
rigidity conjecture implies the marked boundary distance rigidity
conjecture under the existence of a suitable isometric embedding
into a closed Anosov manifold. This is joint work with Thibault
Lefeuvre.
LOCATION:307 Kemeny Hall
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccbd8@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230914T151500
CATEGORIES:Math Colloquium
SUMMARY:Jakob Hedicke: Causality of spacetimes and null geodesics
DESCRIPTION:The causal structure of a Lorentzian manifold is
completely determined by its null geodesics\, i.e. geodesics of the
Lorentzian metric of zero energy.\nAfter introducing the basic
concepts of causality\, with a focus on globally hyperbolic
spacetimes\, we will show how the behaviour of null geodesics can be
used in certain cases as an obstruction to a spacetime having a
globally hyperbolic extension.
LOCATION:007 Kemeny Hall
URL:https://math.dartmouth.edu/activities/colloquia/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccc0f@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230919T110000
DTEND;TZID=America/New_York:20230919T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:Kate Moore: Cohesion: Data-Inspired Discrete Mathematics
DESCRIPTION:We often want to observe the shape of our data and will
use clustering and data visualization methods to do so. Many of
these methods require us to provide the distances among all pairs of
points. However\, for many interesting problems\, this initial step
can be quite challenging. In such a case\, we may instead wish to
work from a set of responses to dissimilarity comparisons: among x\,
y\, and z\, which one is the outlier? In this talk\, I will
introduce cohesion\, a new measure of relative proximity that is
built on this comparison framework. We’ll see how cohesion offers
a perspective on our data that satisfies many desirable properties
in the setting of clustering. I will conclude by briefly sharing
how cohesion can be used to address problems in exploratory data
analysis. \n\n
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccc50@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230919T142500
DTEND;TZID=America/New_York:20230919T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Asher Auel: The local-global principle for quadratic forms
over function fields III
DESCRIPTION:Recall that the Hasse-Minkowski theorem says that a
quadratic form over a global field admits a nontrivial zero if it
admits a nontrivial zero everywhere locally. This type of
local-global principle for quadratic forms can fail over other
fields of arithmetic and geometric interest\, with the first such
examples going back to Witt in the 1930s and Cassels in the 1960s.
Interestingly\, the failure is often explained by auxiliary
structures\, such as torsion points on abelian varieties and the
Brauer group. I’ll explain what is known\, as well as some open
problems in the area.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccc87@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230919T143000
DTEND;TZID=America/New_York:20230919T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Tongtong Li: A structurally informed data assimilation
approach for discontinuous state variables
DESCRIPTION:Data assimilation is a scientific process that combines
available observations with numerical simulations to obtain
statistically accurate and reliable state representations in
dynamical systems. However\, it is well known that the commonly used
Gaussian distribution assumption introduces biases for state
variables that admit discontinuous profiles\, which are prevalent in
nonlinear partial differential equations. In this talk\, we focus on
the design of a new structurally informed non-Gaussian prior that
exploits statistical information from the simulated state variables.
In particular\, we construct a new weighting matrix based on the
second moment of the gradient information of the state variable to
replace the prior covariance matrix used for model/data compromise
in the data assimilation framework. We further adapt our weighting
matrix to include information in discontinuity regions via a
clustering technique. Our numerical experiments demonstrate that
this new approach yields more accurate estimates than those obtained
using ensemble transform Kalman filter (ETKF) on shallow water
equations.
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cccc2@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230921T132000
DTEND;TZID=America/New_York:20230921T142000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Michael Montgomery: A category of reproducing kernel Hilbert
algebras
DESCRIPTION:In the talk we will develop a natural definition (in the
categorical sense) of an algebra structure on a reproducing kernel
Hilbert space. This definition is also equivalent to
subconvolutivity of weight functions in examples from harmonic
analysis. We will then show the category of reproducing kernel
Hilbert algebras (RKHA) is closed under orthogonal sums\, tensor
products\, pushouts\, and pullbacks such that the spectrum is a
functor compatible with these constructions. Furthermore\, the image
of the spectrum as a functor from RKHA to Top contains all compact
subspaces of $\\mathbb R^n$\, $n>0$.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~funct-an/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cccf9@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230926T103000
DTEND;TZID=America/New_York:20230926T113000
CATEGORIES:Thesis Defence
SUMMARY:Steve Fan: Rough numbers and variations on the Erdős-Kac
theorem
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccd2c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230926T143000
DTEND;TZID=America/New_York:20230926T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Jacob Scott: Perturbing the evolutionary mechanisms and
ecological forces underlying drug resistance in cancer and
pathogens: evolutionary therapy and formal control
DESCRIPTION:Cancer and drug resistant infections are the leading
causes of death in the developed world. These two processes are
fundamentally very similar in that they are heterogeneous
collections of individual agents which evolve and interact to
optimize the fitness of the population. In this talk I will outline
these similarities and walk through recent work to directly
parameterize mathematical models of each of the evolutionary and
ecological aspects of the emergence of drug resistance. We will then
discuss how these models can be used to derive control protocols to
delay\, or minimize the probability of drug resistance.
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccd63@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230926T154000
CATEGORIES:Math Colloquium
SUMMARY:Paul Pollack: Unique factorization: what not everyone knows
DESCRIPTION:This talk centers around the "Fundamental Theorem of
Arithmetic"\, that every positive integer factors uniquely as a
product of prime numbers. In the first half of the talk we review
the history and examine a few nonstandard ways of proving this
fundamental result. In the second\, we survey some results in
analytic number theory quantifying the extent of non-unique
factorization in rings of integers of number fields and their
subrings. We conclude by describing a surprising connection between
commutative algebra and analytic number theory. This talk is
intended to be widely accessible\; grad students are welcome!
LOCATION:007 Kemeny Hall
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccd9b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230928T100000
CATEGORIES:Topology Seminar
SUMMARY:Matthew Harper: Seifert-Torres Formulas for the Alexander
Polynomial of Links from Quantum sl2
DESCRIPTION:In this talk\, I will recall how the Alexander
polynomial\, a classical knot invariant\, can be constructed as a
quantum invariant from quantum sl2 at a fourth root of unity. I will
then discuss the development of a diagrammatic calculus based on
further investigation of quantum sl2 representations. Applying this
calculus in the context of the Alexander polynomial allows us to
compute the invariant for certain families of links using quantum
algebraic methods\, rather than using methods of classical topology.
LOCATION:307 Kemeny
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccdd1@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230928T132000
DTEND;TZID=America/New_York:20230928T142000
CATEGORIES:Functional Analysis Seminar
SUMMARY:John D. Trout: States\, spectra\, and numerical radii in
operator algebras
DESCRIPTION:We will discuss the relationship between spectra of
elements and states in unital Banach and $C*$-algebras\, and how
these relate to the numerical radii of elements. For example\, we
will discuss elementary proofs that every member of the spectrum of
any element in a unital Banach algebra is realized by some state
(i.e.\, unital linear functional of norm one) on the algebra. Then\,
for various algebras\, we will show how to explicitly construct the
states that realize these spectral elements. We will then strengthen
this result using the holomorphic functional calculus.
LOCATION:TBD
URL:https://math.dartmouth.edu/~funct-an
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cce08@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231003T143000
DTEND;TZID=America/New_York:20231003T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Speaker TBA: Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cce3b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231005T132000
CATEGORIES:Geometry Seminar
SUMMARY:Thibault Lefeuvre : The marked length spectrum of Anosov
surfaces
DESCRIPTION:On a closed Riemannian manifold\, the marked length
spectrum rigidity problem consists in recovering the metric from the
knowledge of the lengths of its closed geodesics (marked by the free
homotopy classes of the manifold). I will present a solution to this
problem for Anosov surfaces namely\, surfaces with uniformly
hyperbolic geodesic flow (such as negatively-curved surfaces). The
proof blends hyperbolic dynamics\, complex geometry and microlocal
analysis. Joint work with Gabriel P. Paternain and Colin Guillarmou.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cce71@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231005T151500
CATEGORIES:Math Colloquium
SUMMARY:Thibault Lefeuvre: On polynomial structure over sphere
DESCRIPTION:Classifying real polynomial maps between spheres is a
difficult question of real algebraic geometry. Surprisingly\, this
problem found recent applications in two a priori unrelated
fields:\n\n- in spectral theory\, it allowed to solve Kac's
isospectral problem (Can one hear the shape of a drum?) for the
connection Laplacian.\n\n- in dynamical systems\, it allowed to
prove ergodicity for a certain class of partially hyperbolic flows
(extensions of the geodesic flow on negatively-curved
manifolds).\n\nI will explain all these problems and how they
connect together. No prerequisite required -- the talk is intended
for a broad audience. Joint work with Mihajlo Cekić.
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccea9@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231010T110000
DTEND;TZID=America/New_York:20231010T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:Shizhe Liang: TBA
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cced9@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231010T143000
DTEND;TZID=America/New_York:20231010T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Speaker TBA: Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccf09@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231012T100000
CATEGORIES:Topology Seminar
SUMMARY:Sergey Melikhov: Isotopy of knots and the 2-variable Conway
polynomial
LOCATION:Zoom ID 870 912 2782 if you are not from this Department
please ask Vladimir Chernov for the password
URL:https://math.dartmouth.edu/~topology
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccf3b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231012T132000
DTEND;TZID=America/New_York:20231012T142000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Erik van Erp: Introduction to Noncommutative Geometry\, Part
I
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~funct-an
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccf6b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231017T110000
DTEND;TZID=America/New_York:20231017T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:Jose Bastidas: TBA
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccf9c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231017T143000
DTEND;TZID=America/New_York:20231017T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Heather Zinn Brooks : Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccfce@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231018T180000
CATEGORIES:∾ Prosser Lecture ∾
SUMMARY:Michael Lopez: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/prosser-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19ccfff@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231019T132000
DTEND;TZID=America/New_York:20231019T142000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Nisha Chandramoorthy: Rigorous computations for linear
response and Bayesian inference in chaotic systems
DESCRIPTION:Linear response refers to the smooth change in the
statistics of an observable in a dynamical system in response to a
smooth parameter change in the dynamics. The computation of linear
response has been a challenge\, despite work pioneered by Ruelle
giving a rigorous formula in Anosov systems. This is because typical
linear perturbation-based methods are not applicable due to their
instability in chaotic systems. Here\, we give a new differentiable
splitting of the parameter perturbation vector field\, which leaves
the resulting split Ruelle’s formula amenable to efficient
computation. A key ingredient of the overall algorithm\, called
space-split sensitivity\, is a new recursive method to differentiate
quantities along the unstable manifold. Of particular importance is
the score – gradient of log density – of the conditional density
of the SRB measure along the unstable manifold. This fast algorithm
for the conditional scores motivates our attack of another
longstanding computational challenge in high-dimensional dynamics
– sampling from Bayesian filtering distributions\, which we
discuss in the second half of the talk.\n\nBayesian filtering is
repeated Bayesian inference\, and we develop a new transport-based
formulation of Bayesian inference\, in the setting where the score
of the target distribution is known\, such as in the above scenario.
Transport maps are transformations between the sample space of a
source (which is generally easy to sample) and a target (typically
non-Gaussian) probability distribution. The new transport map is a
constructive solution of an infinite-dimensional generalization of a
Newton method to find the zero of a “score operator”. We define
such a score operator that gives the difference of the score of a
transported distribution from the target score. The Newton iteration
enjoys fast convergence under smoothness assumptions and does not
make a parametric ansatz on the transport map.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~funct-an
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd052@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231024T110000
DTEND;TZID=America/New_York:20231024T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:TBA
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd081@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231024T143000
DTEND;TZID=America/New_York:20231024T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Yu Tian: Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd0b1@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231031T110000
DTEND;TZID=America/New_York:20231031T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:TBA
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd0e0@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231031T143000
DTEND;TZID=America/New_York:20231031T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Will Thompson: Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd121@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231102T151500
CATEGORIES:Math Colloquium
SUMMARY:Pamela Estephania Harris: Finding needles in haystacks:
Boolean intervals in the weak order of $\\mathfrak{S}_n$
DESCRIPTION:Finding and enumerating Boolean intervals in
$W(\\mathfrak{S}_n)$\, the weak order of symmetric group
$\\mathfrak{S}_n$\, can feel like trying to find needles in a
haystack. However\, through a surprising connection to the outcome
map of parking functions we provide a complete characterization and
enumeration for Boolean intervals in $W(\\mathfrak{S}_n)$. We show
that for any $\\pi\\in\\mathfrak{S}_n$\, the number of Boolean
intervals in $W(\\mathfrak{S}_n)$ with minimal element $\\pi$ is a
product of Fibonacci numbers. This is joint work with Jennifer
Elder\, Jan Kretschmann\, and J. Carlos Martínez Mori.\n
LOCATION:007 Kemeny Hall
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd15a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231102T180000
CATEGORIES:∿ Lahr Lecture ∿
SUMMARY:Pamela Estephania Harris: How to choose your own
mathematical adventures
DESCRIPTION:What is mathematical research? How does a mathematician
find problems to work on? How does one build mathematical
collaborations? In this talk\, I will share my journey to research
mathematics\, what it entails\, how I have developed new research
ideas\, and how I have found my place within the mathematical
community. Mathematical topics of discussion will include lattice
point visibility\, parking functions\, and a connection between
vector partition functions and juggling. No prior mathematical
background on these topics is expected nor assumed as we will
introduce all of the needed concepts from first principles. All that
is needed is the willingness to wonder and ask the question: “what
happens if…?”
LOCATION:Haldeman 041
URL:https://math.dartmouth.edu/activities/prosser-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd192@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231107T110000
DTEND;TZID=America/New_York:20231107T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:Bruce Sagan: TBA
LOCATION:On Zoom
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd1c2@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231107T143000
DTEND;TZID=America/New_York:20231107T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Hiroki Sayama: Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd1f2@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231109T132000
DTEND;TZID=America/New_York:20231109T143000
CATEGORIES:Functional Analysis Seminar
SUMMARY:Erik van Erp: Introduction to Noncommutative Geometry\, Part
II
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~funct-an
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd223@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231114T110000
DTEND;TZID=America/New_York:20231114T120000
CATEGORIES:Combinatorics Seminar
SUMMARY:Olya Mandelshta: TBA
LOCATION:On Zoom
URL:https://math.dartmouth.edu/~comb/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd253@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231114T142500
DTEND;TZID=America/New_York:20231114T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:David Zureick-Brown: Angle ranks of Abelian varieties
DESCRIPTION:I will discuss an elementary notion -- the rank of the
multiplicative group generated by roots of a polynomial. For Weil
polynomials one calls this the angle rank. I'll present new results
about angle ranks and give some applications to the Tate conjecture
for Abelian varieties over finite fields and to arithmetic
statistics.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd28a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20231114T143000
DTEND;TZID=America/New_York:20231114T153000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Speaker TBA: Title TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd2ba@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240208T151500
CATEGORIES:Math Colloquium
SUMMARY:Sarah Mason: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd2eb@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240222T151500
CATEGORIES:Math Colloquium
SUMMARY:Christopher Jones: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd31b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240328T151500
CATEGORIES:Math Colloquium
SUMMARY:Mason Porter: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/colloquia/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd34c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240418T151500
CATEGORIES:Math Colloquium
SUMMARY:Tom Roby: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/colloquia/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd37c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240425T151500
CATEGORIES:Math Colloquium
SUMMARY:Evrydiki Nestoridi: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd3ac@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240430T142500
DTEND;TZID=America/New_York:20240430T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Isabel Vogt: TBA
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd3dd@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:004 Kemeny Hall
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd412@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240515T180000
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Anne Schilling: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd443@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240516T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Anne Schilling: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20230926T100201Z
UID:20230926T0602016512ac19cd473@math.dartmouth.edu
DTSTART;TZID=America/New_York:20240517T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Anne Schilling: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
END:VCALENDAR