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PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d66fb3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180522T160000
CATEGORIES:Geometry Seminar
SUMMARY:Brian Allen: Contrasting Various Notions of Convergence in
Geometric Analysis
DESCRIPTION:Abstract: We explore the distinctions between $L^p$
convergence of metric tensors on a fixed Riemannian manifold vs.
GH\, uniform\, and intrinsic flat convergence of the resulting
sequence of metric spaces. We provide a number of examples which
demonstrate these notions of convergence do not agree even for two
dimensional warped product manifolds with warping functions
converging in the $L^p$ sense. We then prove a theorem which
requires $L^p$ bounds from above and $C^0$ bounds from below on the
warping functions to obtain enough control for the limits to agree.
This is joint work with Christina Sormani.
LOCATION:307 Kemeny
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BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d6717c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180524T163000
CATEGORIES:Topology Seminar
SUMMARY:Yuli Rudyak: Arnold conjecture on symplectic fixed points
DESCRIPTION:he Arnold conjecture claims that for every Hamiltonian
symplectomorphism $\\phi: M \\to M$ of a closed symplectic manifold
$(M\,\\omega)$\, the number $Fix \\phi$ of fixed points of $\\phi$
is at least the minimal number of critical points of a smooth
function on $M$. For every $(M\,\\omega)$ with $\\pi_2(M)=0$\, Floer
and Hofer performed a certain analytical reduction of the problem
and used this reduction in order to estimate $Fix \\phi$ by the
cup-length of $M$.\nUsing the Floer--Hofer reduction\, Rudyak and
Oprea have completed the proof of the Arnold conjecture in case
$\\pi_2(M)=0$ by proving a certain result of Lusternik--Schnirelmann
type.
LOCATION:Kemeny 201
URL:https://www.math.dartmouth.edu/~topology/#May24
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d67324@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180525T153000
CATEGORIES:Math Colloquium
SUMMARY:Yuli Rudyak: Title: Maps of Degree 1 and Critical Points.
DESCRIPTION:Given a map of degree 1 of closed oriented manifolds\,
it is known that the domain of the map is more "massive" than the
range. For example\, the map induces epimorphisms in homology and
fundamental groups. So\, it is reasonable to conjecture that minimal
number of critical points of the domain is not less than that of the
range (of the map of degree 1). It is an open question whether the
minimal number of critical points is a homotopy invariant of a
manifold. So\, we pose a homotopy invariant version of the previous
conjecture: the Lusternik-Schnirelmann category of the domain is not
less than that of the range. \n\nIn the talk I want to discuss the
current status of the conjectures.
LOCATION:007 Kemeny Hall
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BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d674f0@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180529T123000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Sam Schiavone: Computing A Database Of Belyi Maps
DESCRIPTION:In the paper $\\textit{Numerical calculation of
three-point branched covers of the projective line}$\, we presented
a method for computing equations of Belyi maps based on the
correspondence described by Grothendieck in his celebrated work
Esquisse d'un Programme. In this talk\, we discuss the progress we
have made in exhaustively computing all Belyi maps of low degree
using this method. We also present some initial analysis of the data
we have computed. Joint work with Michael Musty\, Jeroen Sijsling\,
and John Voight.\n
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d67671@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180529T143000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Dongbin Xiu: Numerical Approximation Algorithms for Big Data
DESCRIPTION:Abstract: One of the central tasks in scientific
computing is to accurately approximate unknown\ntarget functions.
This is typically done with the help of data — samples of the
unknown\nfunctions. In statistics this falls into the realm of
regression and machine learning. In\nmathematics\, it is the central
theme of approximation theory. The emergence of Big Data\npresents
both opportunities and challenges. On one hand\, big data introduces
more information\nabout the unknowns and\, in principle\, allows us
to create more accurate models. On the other\nhand\, data storage
and processing become highly challenging. Moreover\, data often
contain\ncertain corruption errors\, in addition to the standard
noisy errors. In this talk\, we present some\nnew developments
regarding certain aspects of big data approximation. More
specifically\, we\npresent numerical algorithms that address two
issues: (1) how to automatically eliminate\ncorruption/biased errors
in data\; and (2) how to create accurate approximation models in
very\nhigh dimensional spaces using stream/live data\, without the
need to store the entire data set.\nWe present both the numerical
algorithms\, which are easy to implement\, as well as
rigorous\nanalysis for their theoretical foundation.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d6782b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180529T163000
CATEGORIES:Geometry Seminar
SUMMARY:Philip Puente: Crystallographic complex reflection groups
and the Braid Conjecture
DESCRIPTION:Abstract: Crystallographic complex reflection groups are
generated by reflections about affine hyperplanes in complex space
and stablize a full rank lattice. These analogs of affine Weyl
groups have infinite order and were classified by V.L. Popov in
1982. The classical Braid Theorem (first established by E. Artin and
E. Brieskorn) asserts that the Artin group of a reflection group
(finite or affine Weyl) gives the fundamental group of regular
orbits. In other words\, the fundamental group of the space with
reflecting hyperplanes removed has a presentation mimicking that of
the Coxeter presentation\; one need only remove relations giving
generators finite order. N.V. Dung used a semi-cell construction to
prove the Braid Theorem for affine Weyl groups. Malle conjectured
that the Braid Theorem holds for all crystallographic complex
reflection groups after constructing Coxeter-like reflection
presentations. We show how to extend Dung's ideas to
crystallographic complex reflection groups and then extend the Braid
Theorem to some groups in the infinite family [G(r\,p\,n)]. The
proof requires a new classification of crystallographic groups in
the infinite family that fail the Steinberg Theorem. These
reflection groups exhibit points with non regular orbits that lie
off of the reflecting hyperplanes.
LOCATION:307 Kemeny
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d679d7@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180607T143000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Sara Chari: Metacommutation of primes in central simple
algebras
DESCRIPTION:In a quaternion order of class number one\,
factorization of elements is unique only up to units and
metacommutation\, or rearrangement of the prime factors. The fact
that multiplication is not commutative causes an element to induce a
permutation on the set of primes of a given reduced norm. We discuss
this permutation and previously known results about the cycle
structure\, sign\, and number of fixed points for quaternion orders.
We generalize these results to orders in central simple algebras
over a global field.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d67b49@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180607T160000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Naomi Tanabe: Non-vanishing of central L-values for
Rankin-Selberg convolutions
DESCRIPTION:In this talk\, we discuss some non-vanishing results on
central values of L-functions\, with a special focus on
Rankin-Selberg L-functions associated with two Hilbert modular
forms. We use twisted moments to establish these results\, and
furthermore discuss a mollification method. This is a joint project
with Alia Hamieh.
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d67cb7@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180626T121500
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Doron Levy (UMD): The role of the immune response in chronic
myelogenous leukemia
DESCRIPTION:Tyrosine kinase inhibitors such as imatinib (IM)\, have
significantly improved\ntreatment of chronic myelogenous leukemia
(CML). Yet\, most patients are not\ncured for undetermined reasons.
In this talk we will describe our recent work on\nmodeling the
autologous immune response to CML. Along the way\, we will\ndiscuss
our previous results on cancer vaccines\, drug resistance\, and
cancer\nstem cells.
LOCATION:Kemeny 006
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d67e3b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180629T150000
CATEGORIES:Applied and Computational Mathematics Seminar
SUMMARY:Doron Levy (UMD): Modeling Group Dynamics in Phototaxis
DESCRIPTION:Microbes live in environments that are often limiting
for growth. They have\nevolved sophisticated mechanisms to sense
changes in environmental\nparameters such as light and nutrients\,
after which they swim or crawl into\noptimal conditions. This
phenomenon is known as "chemotaxis" or "phototaxis."\nUsing
time-lapse video microscopy we have monitored the movement
of\nphototactic bacteria\, i.e.\, bacteria that move towards light.
These movies suggest\nthat single cells are able to move
directionally but at the same time\, the group\ndynamics is equally
important.\nIn this talk we will survey our recent results on
mathematical models for\nphototaxis. We will start with a stochastic
model\, an interacting particle system\,\nand a system of PDEs. Our
main theorem establishes the system of PDEs as the\nlimit dynamics
of the particle system. We will then present another approach
in\nwhich we develop particle\, kinetic\, and fluid models for
phototaxis. We will\nconclude with describing our recent work on
modeling selective local interactions\nwith memory.
LOCATION:Kemeny 211
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d67fcd@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180914T153000
CATEGORIES:Math Colloquium
SUMMARY:Jospeh Teran: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d68164@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180914T190000
CATEGORIES:Prosser Lecture
SUMMARY:Jospeh Teran: TBA
LOCATION:Kemeny 008
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d682da@math.dartmouth.edu
DTSTART;TZID=America/New_York:20180928T153000
CATEGORIES:Math Colloquium
SUMMARY:Peter Mucha: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d6844e@math.dartmouth.edu
DTSTART;TZID=America/New_York:20181012T153000
CATEGORIES:Math Colloquium
SUMMARY:Sharon Crook: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d685c3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190111T153000
CATEGORIES:Math Colloquium
SUMMARY:Christopher Jones: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d68739@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190404T163000
CATEGORIES:Topology Seminar
SUMMARY:Robert Low: TBA
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d688b0@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190405T153000
CATEGORIES:Math Colloquium
SUMMARY:Robert Low: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d68a25@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190411T163000
CATEGORIES:Topology Seminar
SUMMARY:Alexander Dranishnikov: TBA
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20180619T181701Z
UID:20180619T1417015b29489d68b9b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190412T153000
CATEGORIES:Math Colloquium
SUMMARY:Alexander Dranishnikov: TBA
LOCATION:Kemeny 007
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