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PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365575c4@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221108T110000
CATEGORIES:Combinatorics Seminar
SUMMARY:Combinatorics Seminar
LOCATION:Kemeny 307
URL:math.dartmouth.edu/~comb
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557614@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221108T140000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Yanlai Chen: EIM-degradation free RBM via over collocation
and residual hyper reduction and its application to fluid flow
problems and optimal mass transport
DESCRIPTION:The need for multiple interactive\, real-time
simulations using different parameter values has driven the design
of fast numerical algorithms with certifiable accuracies. The
reduced basis method (RBM) presents itself as such an option. RBM
features a mathematically rigorous error estimator which drives the
construction of a low-dimensional subspace. A surrogate solution is
then sought in this low-dimensional space approximating the
parameter-induced high fidelity solution manifold. However when the
system is nonlinear or its parameter dependence nonaffine\, this
efficiency gain degrades tremendously\, an inherent drawback of the
application of the empirical interpolation method (EIM).\n\nIn this
talk\, we present an EIM-degradation free RBM via over collocation
and residual hyper reduction-based error estimation. It augments and
extends the EIM approach as a direct solver\, as opposed to an
assistant\, for solving nonlinear partial differential equations on
the reduced level. Collocating at about twice as many locations as
the number of basis elements and featuring an adaptive hyper
reduction of the residuals for the reduced solution\, this R2-ROC
scheme is stable\, offline- and online-efficient\, and capable of
avoiding the efficiency degradation. Time permitting\, applications
of R2-ROC to fast simulations of parametric fluid flow problems and
optimal mass transport will be presented.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~acms
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557662@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221108T160000
CATEGORIES:Logic Seminar
SUMMARY:Marcia Groszek: Tanaka's self-embedding theorem
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d23655769c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221110T085000
CATEGORIES:Topology Seminar
SUMMARY: Jakob Hedicke: On the existence of integrable Reeb flows
DESCRIPTION:Abstract: A classical result by Bolsinov and Fomenko
implies that 3-dimensional Reeb flows that are Bott-integrable\,
i.e. that admit a Morse-Bott function invariant under the flow\,
only exist on graph manifolds. We will discuss different
constructions to obtain integrable Reeb flows on these manifolds and
examine properties of the underlying contact structures. This talk
is based on joint work with Hansjörg Geiges and Murat Sağlam.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~topology
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365576dd@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221110T110000
DTEND;TZID=America/New_York:20221110T120000
CATEGORIES:Functional Analysis Seminar
SUMMARY:John D. Trout: The algebraic structure of general mechanics
DESCRIPTION:Using ideas of Strocchi\, Iochum & Loupias\, Faddeev &
Yakubovskii\, and Alfsen & Shultz\, we give an operational
derivation of the Jordan-Banach algebra structure of the kinematics
of (bounded) observables in a general theory of mechanics (classical
and quantum) from a set of four axiomatic assumptions. The central
tools are the duality pairing between states and observables given
by expectation values\, the operational association of these
expectation values with measurement outcomes in experiments and
polynomial rescalings of observable measuring devices. This is joint
work with Shadi Ali Ahmad ‘22.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~funct-an
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557729@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221114T140000
CATEGORIES:Logic Seminar
SUMMARY:François Dorais: TBA
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557761@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221115T110000
CATEGORIES:Combinatorics Seminar
SUMMARY:Nadia Lafrenière: A Study Of Homomesy On Permutations Using
The FindStat Database
DESCRIPTION:We performed a systematic study of permutation
statistics and\nbijective maps on permutations\, looking for the
homomesy phenomenon.\nHomomesy occurs when the average value of a
statistic is the same on\neach orbit of a given map. The maps that
exhibit homomesy include the\nLehmer code rotation\, the reverse\,
the complement\, and the\nKreweras complement\, all of which have
some geometric interpretations.\nThe statistics studied relate to
familiar notions such as inversions\,\ndescents\, and permutation
patterns\, among others. Beside the many new\nhomomesy results\,
I’ll discuss our research method\, in which we used\nSageMath to
search the FindStat combinatorial statistics database to\nidentify
potential instances of homomesy\, and what this experiment\ntaught
us about the maps themselves and the homomesy phenomenon at\nlarge.
I'll conclude with some experiments involving the cyclic
sieving\nphenomenon.\nThis is joint work with Jennifer Elder\, Erin
McNicholas\, Jessica Striker\nand Amanda Welch.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~comb
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365577a5@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221115T140000
DTEND;TZID=America/New_York:20221115T150000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Matthew Colbrook\, Alex Townsend: Computing Spectral
Measures of Self-Adjoint Operators
LOCATION:Kemeny
URL:https://math.dartmouth.edu/~acms/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365577df@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221115T140000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Matt Colbrook (Cambridge) and Alex Townsend (Cornell) : On
spectral computations in infinite dimensions: Spectral measures\,
Koopman operators and beyond
DESCRIPTION:Computing spectral properties of operators is
fundamental in the sciences\, with many applications. However\, the
infinite-dimensional problem is infamously difficult - common
difficulties include spectral pollution and continuous spectra. This
two part talk will address two examples: (a) computation of spectral
measures for general self-adjoint operators (b) computation of
spectral properties of Koopman operators. Finally\, we discuss how
these results fit into a wider programme on infinite-dimensional
spectral computations and beyond.
LOCATION:Kemeny 307
URL:https://math.dartmouth.edu/~acms
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d23655781e@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221115T180000
CATEGORIES:∿ Lahr Lecture ∿
SUMMARY:Bianca Viray: The interplay of geometry and arithmetic
DESCRIPTION:Can you find a right triangle all of whose side lengths
are whole numbers? Reaching back in your memory\, you might recall
from an algebra or geometry class that the side lengths have to
satisfy the equation a^2 + b^2 = c^2\, and that whole number
solutions to these equations are called Pythagorean triples. So the
answer is yes! And\, in fact\, there are infinitely many such
triangles. However\, there are many closely related equations that
seem to have no (positive) whole number solutions. For example\,
there are no nonzero whole number solutions to the equation a^n +
b^n = c^n whenever n is at least 3\, and we don't know of any whole
number solutions to the so-called rational box problem: Does there
exist a rectangular box where the distance between any two corners
is a whole number? In this talk\, I will explain our current guess
as to why there is such a difference in the whole number solutions
between the pythagorean triple equation and these other examples\,
describe some of the state-of-the-art results in this direction\,
and highlight some of the new frontiers in this research.
LOCATION:Haldeman 041
URL:https://math.dartmouth.edu/activities/lahr-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d23655786a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20221116T151500
CATEGORIES:Math Colloquium
SUMMARY:Bianca Viray: Swimming in the direction of the current: the
impact of research atmosphere on mathematical progress
DESCRIPTION:Just as a current impacts the effort a swimmer must
make\, so too does the research atmosphere in a community or
conference affect research output. In this talk\, I will discuss
various examples of this\, both long-standing programs of others\,
and many examples that I have experienced or witnessed. In
particular\, I will discuss different branches of my research
program and how their development was impacted by the atmosphere in
conferences\, seminars\, and research communities\, and also what I
have learned from times when my actions have created counter
currents for others. This talk will include some descriptions of
harassment.\n
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365578ab@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230207T142500
DTEND;TZID=America/New_York:20230207T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Keerthi Madapusi Pera: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365578e3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230214T142500
DTEND;TZID=America/New_York:20230214T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Sameera Vemulapalli: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d23655791b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230221T142500
DTEND;TZID=America/New_York:20230221T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Eyal Markman: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557954@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230309T151500
CATEGORIES:Math Colloquium
SUMMARY:Eitan Tadmor: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d23655798d@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230328T142500
DTEND;TZID=America/New_York:20230328T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Kristin Devleming: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d2365579c9@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230406T151500
CATEGORIES:Math Colloquium
SUMMARY:Patricia Cahn: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557a02@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230417T180000
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Alex Lubotzky: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557a3b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230418T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Alex Lubotzky: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557a75@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230419T151500
CATEGORIES:⋆ Kemeny Lecture ⋆
SUMMARY:Alex Lubotzky: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/activities/kemeny-lectures/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557aaf@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230420T151500
CATEGORIES:Math Colloquium
SUMMARY:Daniela Calvetti: TBA
LOCATION:TBA
URL:https://math.dartmouth.edu/calendar/agenda-colloq.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557ae6@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230502T142500
DTEND;TZID=America/New_York:20230502T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Jonathan Love: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557b1d@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230509T142500
DTEND;TZID=America/New_York:20230509T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Corey Brooke: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557b57@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230511T151500
CATEGORIES:Math Colloquium
SUMMARY:Jonathan Bloom: TBA
LOCATION:TBA
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20221204T224701Z
UID:20221204T174701638d236557b8f@math.dartmouth.edu
DTSTART;TZID=America/New_York:20230523T142500
DTEND;TZID=America/New_York:20230523T152500
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Michael Klug: TBD
LOCATION:Kemeny 343
URL:https://math.dartmouth.edu/~zahlen/
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