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PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0761@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190103T143000
DTEND;TZID=America/New_York:20190103T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:John Voight: The L-functions and Modular Forms Database
(LMFDB)
DESCRIPTION:The Langlands program is a set of conjectures that lie
in deep theories of mathematical symmetry\, connecting numerous
subfields of mathematics. Recently\, it has become feasible to do
large-scale computational verification of the predictions of the
Langlands program\, to test conjectures in higher-dimensional cases
and\, in particular\, to present the results in a way that is widely
accessible. To this end\, the L-functions and Modular Forms DataBase
(LMFDB\, http://www.lmfdb.org) was created to connect and organize
the work of many mathematicians working in this area. In this talk\,
we will survey the mathematical underpinnings and the algorithmic
infrastructure of the LMFDB in an attempt to navigate and provide
compelling visual displays of the Langlands program in action.
LOCATION:Kemeny 343
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BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e07dd@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190110T143000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:JMM practice talks
LOCATION:Kemeny 343
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0828@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190110T163000
CATEGORIES:Topology Seminar
SUMMARY:David Freund: Singular Based Matrices for Virtual 2-Strings
DESCRIPTION:A singular virtual 2-string $\\alpha$ is a wedge of two
circles on a closed oriented surface. Up to equivalence by virtual
homotopy\, $\\alpha$ can be realized on a canonical surface
$\\Sigma_\\alpha$. We use the homological intersection pairing on
$\\Sigma_\\alpha$ to associate an algebraic object to $\\alpha$
called a singular based matrix. In this talk\, we show that these
objects can be used to distinguish virtual homotopy classes of
2-strings and to compute the virtual Andersen--Mattes--Reshetikhin
bracket of families of 2-strings.
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e087c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190115T130000
CATEGORIES:Combinatorics Seminar
SUMMARY:Martin Tassy: Asymptotics of the number of skew tableaux and
lozenge tillings
DESCRIPTION:The celebrated hook-length formula of Frame\, Robinson
and Thrall from 1954 gives a product formula for the number of
standard Young tableaux of straight shape. This formula has been
used to study limit shapes on tableaux of straight shape. No such
product formula exists for counting tableaux of skew shapes. In
2014\, Naruse announced a formula for this number that can be
interpreted as a weighted partition function over lozenge tilings.
Simulations by Morales\, Pak and Panova in 2017 revealed that these
weighted lozenge tilings exhibit limit shapes. We explain how this
particular limiting behavior can be interpreted as the consequence
of a variational principle. We will also explain how this
variational principle gives us the existence and an interpretation
of the first term in the asymptotics of the number of tableaux of a
family of skew shapes\, settling a conjecture of Morales\, Pak and
Panova.
LOCATION:Kemeny 307
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e08db@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190117T143000
CATEGORIES:Topology Seminar
SUMMARY:Andrei Maliutin: On the question of genericity of hyperbolic
knots
DESCRIPTION:A well-known conjecture in knot theory says that the
proportion of hyperbolic knots among all of the prime knots of n or
fewer crossings approaches 1 as n approaches infinity. In this
article\, it is proved that this conjecture contradicts several
other plausible conjectures\, including the 120-year-old conjecture
on additivity of the crossing number of knots under connected sum
and the conjecture that the crossing number of a satellite knot is
not less than that of its companion.
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0930@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190122T143000
DTEND;TZID=America/New_York:20190122T153000
CATEGORIES:Math Colloquium
SUMMARY:Jesse Thorner: A new approach to bounding L-functions
DESCRIPTION:An $L$-function is a type of generating\nfunction with
multiplicative structure which arises from either
an\narithmetic-geometric object (like a number field\, elliptic
curve\,\nabelian variety) or an automorphic form. The Riemann zeta
function\n$\\zeta(s) = \\sum_{n=1}^{\\infty} n^{-s}$ is the
prototypical example of\nan $L$-function. While $L$-functions might
appear to be an esoteric and\nspecial topic in number theory\, time
and again it has turned out that\nthe crux of a problem lies in the
theory of these functions. Many\nequidistribution problems in
number theory rely on one's ability to\naccurately bound the size of
$L$-functions\; optimal bounds arise from\nthe (unproven!) Riemann
Hypothesis for $\\zeta(s)$ and its extensions\nto other
$L$-functions. I will discuss some motivating\nequidistribution
problems along with recent work (joint with K.\nSoundararajan) which
produces new bounds for $L$-functions by proving\na suitable
"statistical approximation" to the (extended) Riemann\nHypothesis.
LOCATION:Haldmean 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e098a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190228T143000
CATEGORIES:Topology Seminar
SUMMARY:Joshua Sussan: TBA
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e09d3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190301T153000
CATEGORIES:Math Colloquium
SUMMARY:Penny Haxell: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0a1b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190328T143000
CATEGORIES:Topology Seminar
SUMMARY:Akram Alishahi: TBA
LOCATION:201 Kemeny
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0a63@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190405T153000
CATEGORIES:Math Colloquium
SUMMARY:Robert Low: Space-time topology: choices and consequences
DESCRIPTION:I will review some of the possible choices of topology
on a Lorentz manifold and their well-known properties. Following
this\, I will take a more detailed look at some of the advantages
and disadvantages of the main choices. Finally (depending on
progress over the next few months) I may spend some time examining
the special case of 2 dimensional Minkowski space.
LOCATION:007 Kemeny Hall
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0ab3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190405T170000
CATEGORIES:Topology Seminar
SUMMARY:Robert Low: Causal structure and spaces of null geodesics
DESCRIPTION:I will review Lorentz manifolds as a model of
space-time\, and how the important notion of causal structure arises
in this context. Then\, observing the fundamental nature of null
geodesics to this structure\, I will describe the space of null
geodesics and the natural topological and geometric structures it
carries. Finally\, I will consider how aspects of the causal
structure of the original space-time is encoded in this space of
null geodesics\, culminating in the notion of Legendrian linking of
those submanifolds in the space of null geodesics representing
points of the space-time.
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0b0c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190411T163000
CATEGORIES:Topology Seminar
SUMMARY:Alexander Dranishnikov: TBA
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0b54@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190412T153000
CATEGORIES:Math Colloquium
SUMMARY:Alexander Dranishnikov: TBA
LOCATION:Kemeny 007
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0b9c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190418T143000
CATEGORIES:Topology Seminar
SUMMARY:Steven Boyer: TBA
LOCATION:Kemeny 201
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0be3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190418T160000
CATEGORIES:Math Colloquium
SUMMARY:Steven Boyer: TBA
LOCATION:Haldeman 41
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0c2b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190502T160000
CATEGORIES:Math Colloquium
SUMMARY:Dick Canary: TBA
LOCATION:Haldeman 41
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0c73@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190516T160000
CATEGORIES:Math Colloquium
SUMMARY:Jean-Francois Lafont: Totally geodesic submanifolds in
hyperbolic manifolds
DESCRIPTION:I will discuss the various constructions of finite
volume hyperbolic manifolds\, with an emphasis on the arithmetic vs.
non-arithmetic dichotomy. I will then explain why certain
non-arithmetic hyperbolic manifolds can only contain finitely many
closed immersed totally geodesic codimension one submanifolds (joint
with D. Fisher\, N. Miller\, and M. Stover). This gives the first
positive answer to a question raised independently by Alan Reid and
by Curt McMullen.
LOCATION:Haldeman 41
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20190118T033201Z
UID:20190117T2232015c4148b1e0cc4@math.dartmouth.edu
DTSTART;TZID=America/New_York:20190524T153000
CATEGORIES:Math Colloquium
SUMMARY:Semyon Dyatlov: TBA
LOCATION:Kemeny 007
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