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SUMMARY:Allan Sly (Princeton University)
DTSTART;VALUE=DATE-TIME:20210223T200000Z
DTEND;VALUE=DATE-TIME:20210223T210000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/1
DESCRIPTION:Title: Replica Symmetry Breaking for Random Regular NAESAT\nby Alla
n Sly (Princeton University) as part of Harvard Special Colloquium\n\nAbst
ract: TBA\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/1/
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BEGIN:VEVENT
SUMMARY:Ankur Moitra (MIT)
DTSTART;VALUE=DATE-TIME:20210301T200000Z
DTEND;VALUE=DATE-TIME:20210301T210000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/2
DESCRIPTION:Title: Robustness Meets Algorithms\nby Ankur Moitra (MIT) as part o
f Harvard Special Colloquium\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melissa (Chiu-Chu) Liu (Columbia University)
DTSTART;VALUE=DATE-TIME:20210308T200000Z
DTEND;VALUE=DATE-TIME:20210308T210000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/3
DESCRIPTION:Title: Topological Recursion and Enumerative Geometry\nby Melissa (
Chiu-Chu) Liu (Columbia University) as part of Harvard Special Colloquium\
n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/3/
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BEGIN:VEVENT
SUMMARY:Jiang Ding (University of Pennsylvania\, Wharton)
DTSTART;VALUE=DATE-TIME:20210316T190000Z
DTEND;VALUE=DATE-TIME:20210316T200000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/4
DESCRIPTION:Title: Recent progress on random field Ising model\nby Jiang Ding (
University of Pennsylvania\, Wharton) as part of Harvard Special Colloquiu
m\n\n\nAbstract\nRandom field Ising model is a canonical example to study
the effect of disorder on long-range order. In 70's\, Imry-Ma predicted th
at in the presence of weak disorder\, the long-range order persists at low
temperatures in three dimensions and above but disappears in two dimensio
ns. In this talk\, I will review mathematical development surrounding this
prediction\, and I will focus on recent progress on exponential decay and
on correlation length in two dimensions. The talk is based on a joint wor
k with Jiaming Xia and a joint work with Mateo Wirth.\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/4/
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BEGIN:VEVENT
SUMMARY:Anna Gilbert (Yale University)
DTSTART;VALUE=DATE-TIME:20210322T190000Z
DTEND;VALUE=DATE-TIME:20210322T200000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/5
DESCRIPTION:Title: Metric representations: Algorithms and Geometry\nby Anna Gil
bert (Yale University) as part of Harvard Special Colloquium\n\n\nAbstract
\nGiven a data set or a set of distances amongst data points\, determining
what combinatorial representation is most “consistent” with the input
distances or the metric that best captures the relevant geometric feature
s of the data is a key step in many machine learning algorithms. We seek s
uch representations to gain new insights into the data generation process
or to uncover fundamental structures in the data (especially for scientifi
c discovery). We may also seek representations that improve computational
efficiency.\n\nIn this talk\, we focus on a variety of metric representati
on problems. The first three are specific metric constrained problems\, a
class of optimization problems with metric constraints: metric nearness\,
weighted correlation clustering on general graphs\, and metric learning. T
he fourth problem is sparse metric repair\, a non-convex version of the me
tric nearness problem. The final problem seeks a combinatorial representat
ion of data sets in the form of trees or sparse graphs (which we then embe
d into hyperbolic space).\n\nBecause of the large number of constraints in
the metric constrained problems\, however\, these and other researchers h
ave been forced to restrict either the kinds of metrics learned or the siz
e of the problem that can be solved. We provide an algorithm\, PROJECT AND
FORGET\, that uses Bregman projections with cutting planes\, to solve met
ric constrained problems with many (possibly exponentially) inequality con
straints.\n\nWe discuss the surprising features of the fourth problem\, sp
arse metric repair problem\; in one setting it has a simple polynomial tim
e solution and in the other settings\, it is fiendishly difficult. Finally
\, we end with something different. We learn combinatorial structures rath
er than metrics or data geometry. We then use those to embed the data sets
into metric spaces.\n\nThis is joint work with a number of collaborators
and students: Rishi Sonthalia (Univ. of Michigan)\, Lalit Jain (Univ. of W
ashington)\, Benjamin Raichel (Univ. of Texas-Dallas)\, and Greg van Buski
rk (Univ. of Texas-Dallas).\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Douglas (Stony Brook University)
DTSTART;VALUE=DATE-TIME:20210614T190000Z
DTEND;VALUE=DATE-TIME:20210614T200000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/6
DESCRIPTION:Title: Topics in computers and mathematics\nby Michael Douglas (Sto
ny Brook University) as part of Harvard Special Colloquium\n\n\nAbstract\n
Advances in computation and machine learning \nare changing the way we do
pure mathematics and theoretical physics.\nUsing examples from differentia
l geometry\, finite group theory and other fields\,\nI will survey some di
rections which I believe will have major impact during the coming decade:
machine learning\, ML inspired numerical methods\, computer assisted proof
s and interactive theorem proving.\n\nRegistration is required to attend.\
n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/6/
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BEGIN:VEVENT
SUMMARY:Lydia Bieri (University of Michigan)
DTSTART;VALUE=DATE-TIME:20210525T190000Z
DTEND;VALUE=DATE-TIME:20210525T200000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/7
DESCRIPTION:Title: New Structures in Gravitational Waves\nby Lydia Bieri (Unive
rsity of Michigan) as part of Harvard Special Colloquium\n\n\nAbstract\nMa
thematical General Relativity (GR) explores the structures and resulting d
ynamics of gravitational systems. These are described by the Einstein equa
tions\, which can be written as a system of nonlinear\, hyperbolic partial
differential equations. Recent years have seen fruitful interactions betw
een physical questions and geometric analysis\, sparking new breakthroughs
\, in particular related to gravitational radiation. Gravitational waves t
ransport information from faraway regions of the Universe. They were obser
ved for the first time by Advanced LIGO in 2015. So far\, most studies in
GR have been devoted to sources like binary black hole mergers or generall
y to sources that are stationary outside of a compact set. However\, when
extended neutrino halos are present\, the situation changes. Mathematical
ly\, we describe these systems by asymptotically-flat manifolds solving th
e Einstein equations. In this talk\, I will present new results on gravita
tional radiation for sources that are not stationary outside of a compact
set\, but whose gravitational fields fall off more slowly towards infinity
. A panorama of new gravitational effects opens up when delving deeper int
o these more general spacetimes. In particular\, whereas the former source
s produce memory effects (permanent change of the spacetime) that are fini
te and of purely electric parity\, the latter in addition generate memory
of magnetic type\, and both types grow. These new effects emerge naturally
from the Einstein equations.\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Gukov (Caltech)
DTSTART;VALUE=DATE-TIME:20210601T190000Z
DTEND;VALUE=DATE-TIME:20210601T200000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/8
DESCRIPTION:Title: From Ramanujan to Rokhlin\, via quantum groups\nby Sergei Gu
kov (Caltech) as part of Harvard Special Colloquium\n\n\nAbstract\nIn this
talk\, intended for a broad audience\, I will describe recent work on new
q-series invariants of 3-manifolds labeled by Spin-C structures. While th
e original motivation for studying these invariants is rooted in topology\
, they exhibit a number of unexpected properties and connections to other
areas of mathematics\, e.g. turn out to be characters of logarithmic verte
x algebras.\n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/8/
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BEGIN:VEVENT
SUMMARY:Daniel Freed (University of Texas)
DTSTART;VALUE=DATE-TIME:20210608T190000Z
DTEND;VALUE=DATE-TIME:20210608T200000Z
DTSTAMP;VALUE=DATE-TIME:20210612T235051Z
UID:SpecialColloquium/9
DESCRIPTION:Title: The two-dimensional Ising model revisited\nby Daniel Freed (
University of Texas) as part of Harvard Special Colloquium\n\n\nAbstract\n
I will describe joint work with Constantin Teleman\, in which we cast topo
logical eyes on a well-studied system in condensed matter physics. In par
ticular\, we use the symmetry in a strong form and apply the technology of
extended topological field theory. We obtain a proof of duality\, constr
uct a new dual theory for models based on a nonabelian group\, and make dy
namical predictions. The lecture will not assume any physics background.\
n
LOCATION:https://researchseminars.org/talk/SpecialColloquium/9/
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