Tuesday March 26, 2019 4:00 PM  5:00 PM S240
 Special Lectures Graduate students, Stony Brook University
Graduate student recitals 1

Wednesday March 27, 2019 2:30 PM  3:30 PM Math Tower P131
 Mini Course / Dynamics Learning Seminar Jonathan Fraser, University of St Andrews
Dimensions of Kleinian limit setsThe dimension theory of geometrically finite Kleinian groups and their limit sets has a rich and interesting history, with the first calculation of Hausdorff dimension going back to seminal work of Patterson and Sullivan from the 1970s and 80s. There are many different (but related) notions of dimension but, nevertheless, many of the most popular coincide in this setting. In particular, the Hausdorff, boxcounting, and packing dimensions of a Kleinian limit set are all given by the Poincare exponent of the group. I will discuss recent work concerning the Assouad dimension, which is not necessarily given by the Poincare exponent in the presence of parabolic points.

Wednesday March 27, 2019 4:00 PM  5:30 PM S240
 Special Lectures Graduate students, Stony Brook University
Graduate student recitals 2

Thursday March 28, 2019 2:30 PM P131
 Analysis Seminar Sean Li, University of Connecticut
TBA

Thursday March 28, 2019 1:00 PM Math Tower 5127
 Symplectic Geometry Seminar Xiaomeng Xu, MIT
Stokes phenomenon and its applications in mathematical physics
This talk includes a general introduction to the Stokes phenomenon and WKB analysis of differential equations with singularities, and then explores their relations with YangBaxter equations and cluster algebras/integrable systems.

Thursday March 28, 2019 4:00 PM  5:00 PM SCGP Auditorium
 Colloquium Simon Donaldson, SCGP
TBA

Wednesday April 03, 2019 4:00 PM  5:00 PM TBA
 Simons Lectures Series Alex Eskin, University of Chicago
Polygonal billiards and dynamics on moduli spaces of compact Riemann surfacesBilliards in polygons can exhibit some bizarre behavior, some of which can be explained by deep connections to several seemingly unrelated branches of mathematics. These include algebraic geometry (and in particular Hodge theory), Teichmuller theory and ergodic theory on homogeneous spaces. I will attempt to give a gentle introduction to the subject. Much of this lecture will be accessible to undergraduates and firstyear graduate students.

Wednesday April 03, 2019 2:30 PM  3:30 PM Math Tower P131
 Algebraic geometry seminar Ignacio Barros, Northeastern University
Two moduli spaces of CalabiYau type.(Note special time due to Simons lectures)
For fixed genus $g$, the transition of $\mathcal{M}_{g,n}$ from uniruled to general type as $n$ increases is rather sudden, making the cases of intermediate Kodaira dimension very rare. In genus $4≤ g ≤ 11$ there are just a few cases for which we still don't know the Kodaira dimension of $\mathcal{M}_{g,n}$, some of them with very rich geometries. I will report on workinprogress with Scott Mullane, where we study some of this cases hoping to find more instances of intermediate Kodaira dimension.

Thursday April 04, 2019 2:30 PM P131
 Analysis Seminar Michael Damron, Georgia Tech
TBATBA

Thursday April 04, 2019 4:00 PM  5:00 PM TBA
 Simons Lectures Series Alex Eskin, University of Chicago
The classification of invariant measuresRatner's celebrated theorems on unipotent flows in homogeneous spaces have partial analogues in moduli space. I will outline the proof (joint with Maryam Mirzakhani and in part Amir Mohammadi) of one such theorem.

Friday April 05, 2019 4:00 PM  5:00 PM TBA
 Simons Lectures Series Alex Eskin, University of Chicago
Orbit closures: theorems and counterexamplesIn this lecture I will survey some of what is currently known about the classification of SL(2,R) orbit closures, and complete the proof of some results from Lecture 1. This lecture will have a more algebraic flavor than the others.

Thursday April 11, 2019 4:00 PM  5:00 PM Math Tower P131
 Colloquium Ernest Croot, Georgia Tech
Long Progressions in SumsetsAn old question in additive number theory is determining the length of the longest progression in a sumset A+B = {a + b : a in A, b in B}, given that A and B are "large" subsets of {1,2,...,n}. I will survey some of the results on this problem, including a discussion of the methods, and also will discuss some open questions and conjectures.

Thursday April 11, 2019 2:30 PM P131
 Analysis Seminar LiCheng Tsai, Columbia University
TBATBA

Tuesday April 16, 2019 4:00 PM  5:00 PM Math Tower P131
 Geometry/Topology Seminar Fedor Manin, Ohio State University
Rational homotopy and topological isoperimetrySoon after Sullivan introduced his model of rational homotopy theory in the 1970's, Gromov noted that the theory had some metric consequences for maps between compact manifolds or simplicial complexes. I will present a systematic view of this relationship which gives a powerful tool for, among other things, resolving the following type of question, asked by Gromov twenty years later:
Given two $L$Lipschitz maps $f, g: X → Y$, where $X$ and $Y$ are nice compact metric spaces, what is the optimal Lipschitz constant of a homotopy between them?
I will also try to explain why this question is fundamental to quantitative topology.

Thursday April 18, 2019 4:00 PM  5:00 PM Math Tower P131
 Colloquium Scott Wolpert, UMD
TBA

Thursday April 18, 2019 2:30 PM P131
 Analysis Seminar Antonio De Rosa, NYU
Anisotropic counterpart of Allard’s rectifiability theorem and Plateau
problem.We present our extension of Allard's celebrated rectifiability theorem to the setting of varifolds with locally bounded anisotropic first variation.
We identify a necessary and sufficient condition on the integrand for its validity and we discuss the connections of this condition to Almgren's ellipticity. We apply this result to the settheoretic anisotropic Plateau problem, obtaining solutions to three different formulations: one introduced by Reifenberg, one proposed by Harrison and Pugh and another one studied by David. Moreover, we apply the rectifiability theorem to prove an anisotropic counterpart of Allard's compactness result for integral varifolds.
Some of the presented theorems are joint works with De Lellis, De
Philippis, Ghiraldin and Kolasiński

Thursday April 25, 2019 4:00 PM  5:00 PM Math Tower P131
 Colloquium John Morgan, SCGP
TBA

Thursday April 25, 2019 2:30 PM P131
 Analysis Seminar Vladimir Bozin, University of Belgrade
Quasiconformal harmonic maps and the biLipschitz conditionWe discuss some recent results regarding the Euclidean quasiconformal
harmonic maps. In particular, we show, using the GehringOsgood
inequality, that quasiconformal maps between plane domains with
$C^{1,α}$ boundary are biLipschitz. We will also discuss questions
related to the boundary behavior of hqc maps and generalizations to the
higher dimensional case.

Thursday May 02, 2019 2:30 PM P131
 Analysis Seminar Hoi Nguyen, Ohio State University
TBATBA

Friday May 03, 2019 2:30 PM  3:30 PM Math Tower P131
 Dynamical Systems Seminar Tom Sharland, University of Rhode Island
TBATBA

Thursday May 09, 2019 4:00 PM  5:00 PM Math Tower P131
 Colloquium Jian Ding, Wharton, UPenn
TBATBA

Thursday May 16, 2019 2:30 PM P131
 Analysis Seminar Rami Luisto, University of Jyväskylä
TBA

