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SUMMARY:Allan Sly (Princeton University)
DTSTART:20210223T200000Z
DTEND:20210223T210000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/1
DESCRIPTION:Title: Replica Symmetry Breaking for Random Regular NAESAT\n
by Allan Sly (Princeton University) as part of Harvard Special Colloquium\
n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ankur Moitra (MIT)
DTSTART:20210301T200000Z
DTEND:20210301T210000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/2
DESCRIPTION:Title: Robustness Meets Algorithms\nby Ankur Moitra (MIT) as
part of Harvard Special Colloquium\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Melissa (Chiu-Chu) Liu (Columbia University)
DTSTART:20210308T200000Z
DTEND:20210308T210000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/3
DESCRIPTION:Title: Topological Recursion and Enumerative Geometry\nby Me
lissa (Chiu-Chu) Liu (Columbia University) as part of Harvard Special Coll
oquium\n\nAbstract: TBA\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jiang Ding (University of Pennsylvania\, Wharton)
DTSTART:20210316T190000Z
DTEND:20210316T200000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/4
DESCRIPTION:Title: Recent progress on random field Ising model\nby Jiang
Ding (University of Pennsylvania\, Wharton) as part of Harvard Special Co
lloquium\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 predi
cted that in the presence of weak disorder\, the long-range order persists
at low temperatures in three dimensions and above but disappears in two d
imensions. In this talk\, I will review mathematical development surroundi
ng this prediction\, and I will focus on recent progress on exponential de
cay and on correlation length in two dimensions. The talk is based on a jo
int work with Jiaming Xia and a joint work with Mateo Wirth.\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Anna Gilbert (Yale University)
DTSTART:20210322T190000Z
DTEND:20210322T200000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/5
DESCRIPTION:Title: Metric representations: Algorithms and Geometry\nby A
nna Gilbert (Yale University) as part of Harvard Special Colloquium\n\n\nA
bstract\nGiven a data set or a set of distances amongst data points\, dete
rmining what combinatorial representation is most “consistent” with th
e input distances or the metric that best captures the relevant geometric
features of the data is a key step in many machine learning algorithms. We
seek such representations to gain new insights into the data generation p
rocess or to uncover fundamental structures in the data (especially for sc
ientific discovery). We may also seek representations that improve computa
tional efficiency.\n\nIn this talk\, we focus on a variety of metric repre
sentation problems. The first three are specific metric constrained proble
ms\, a class of optimization problems with metric constraints: metric near
ness\, weighted correlation clustering on general graphs\, and metric lear
ning. The fourth problem is sparse metric repair\, a non-convex version of
the metric nearness problem. The final problem seeks a combinatorial repr
esentation of data sets in the form of trees or sparse graphs (which we th
en embed into hyperbolic space).\n\nBecause of the large number of constra
ints in the metric constrained problems\, however\, these and other resear
chers have been forced to restrict either the kinds of metrics learned or
the size of the problem that can be solved. We provide an algorithm\, PROJ
ECT AND FORGET\, that uses Bregman projections with cutting planes\, to so
lve metric constrained problems with many (possibly exponentially) inequal
ity constraints.\n\nWe discuss the surprising features of the fourth probl
em\, sparse metric repair problem\; in one setting it has a simple polynom
ial time solution and in the other settings\, it is fiendishly difficult.
Finally\, we end with something different. We learn combinatorial structur
es rather than metrics or data geometry. We then use those to embed the da
ta sets into metric spaces.\n\nThis is joint work with a number of collabo
rators and students: Rishi Sonthalia (Univ. of Michigan)\, Lalit Jain (Uni
v. of Washington)\, Benjamin Raichel (Univ. of Texas-Dallas)\, and Greg va
n Buskirk (Univ. of Texas-Dallas).\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Douglas (Stony Brook University)
DTSTART:20210614T190000Z
DTEND:20210614T200000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/6
DESCRIPTION:Title: Topics in computers and mathematics\nby Michael Dougl
as (Stony Brook University) as part of Harvard Special Colloquium\n\n\nAbs
tract\nAdvances in computation and machine learning \nare changing the way
we do pure mathematics and theoretical physics.\nUsing examples from diff
erential geometry\, finite group theory and other fields\,\nI will survey
some directions which I believe will have major impact during the coming d
ecade: machine learning\, ML inspired numerical methods\, computer assiste
d proofs and interactive theorem proving.\n\nRegistration is required to a
ttend.\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lydia Bieri (University of Michigan)
DTSTART:20210525T190000Z
DTEND:20210525T200000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/7
DESCRIPTION:Title: New Structures in Gravitational Waves\nby Lydia Bieri
(University of Michigan) as part of Harvard Special Colloquium\n\n\nAbstr
act\nMathematical General Relativity (GR) explores the structures and resu
lting dynamics of gravitational systems. These are described by the Einste
in equations\, which can be written as a system of nonlinear\, hyperbolic
partial differential equations. Recent years have seen fruitful interactio
ns between physical questions and geometric analysis\, sparking new breakt
hroughs\, in particular related to gravitational radiation. Gravitational
waves transport information from faraway regions of the Universe. They wer
e observed for the first time by Advanced LIGO in 2015. So far\, most stud
ies in GR have been devoted to sources like binary black hole mergers or g
enerally to sources that are stationary outside of a compact set. However\
, when extended neutrino halos are present\, the situation changes. Mathe
matically\, we describe these systems by asymptotically-flat manifolds sol
ving the Einstein equations. In this talk\, I will present new results on
gravitational radiation for sources that are not stationary outside of a c
ompact set\, but whose gravitational fields fall off more slowly towards i
nfinity. A panorama of new gravitational effects opens up when delving dee
per into these more general spacetimes. In particular\, whereas the former
sources produce memory effects (permanent change of the spacetime) that a
re finite and of purely electric parity\, the latter in addition generate
memory of magnetic type\, and both types grow. These new effects emerge na
turally from the Einstein equations.\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergei Gukov (Caltech)
DTSTART:20210601T190000Z
DTEND:20210601T200000Z
DTSTAMP:20260404T111410Z
UID:SpecialColloquium/8
DESCRIPTION:Title: From Ramanujan to Rokhlin\, via quantum groups\nby Se
rgei Gukov (Caltech) as part of Harvard Special Colloquium\n\n\nAbstract\n
In 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. W
hile the original motivation for studying these invariants is rooted in to
pology\, they exhibit a number of unexpected properties and connections to
other areas of mathematics\, e.g. turn out to be characters of logarithmi
c vertex algebras.\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Freed (University of Texas)
DTSTART:20210608T190000Z
DTEND:20210608T200000Z
DTSTAMP:20260404T111410Z
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\nAbs
tract\nI will describe joint work with Constantin Teleman\, in which we ca
st topological eyes on a well-studied system in condensed matter physics.
In particular\, we use the symmetry in a strong form and apply the techno
logy of extended topological field theory. We obtain a proof of duality\,
construct a new dual theory for models based on a nonabelian group\, and
make dynamical predictions. The lecture will not assume any physics backg
round.\n
LOCATION:https://stable.researchseminars.org/talk/SpecialColloquium/9/
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