Upcoming Events
January 2021
Martin Helmer, Effective Methods in Algebraic Geometry and Applications
At its most basic, algebraic geometry studies algebraic varieties; that is, the solution sets of systems of polynomial equations. In this talk our focus is on developing a concrete understanding of the geometry and topology of varieties and using this…
Find out moreMichelle Chu, University of Illinois Chicago, Virtual properties of 3-manifolds
A virtual property of a 3-manifold is a property satisfied by a finite cover of the 3-manifold. The study of such properties has been at the heart of several major developments in 3-manifold topology in the past decade. In this talk…
Find out moreDiego Cifuentes, MIT, Advancing scalable, provable optimization methods in semidefinite & polynomial programs
Optimization is a broad area with ramifications in many disciplines, including machine learning, control theory, signal processing, robotics, computer vision, power systems, and quantum information. I will talk about some novel algorithmic and theoretical results in two broad classes of…
Find out moreAnna Weigandt, University of Michigan, Gröbner Geometry of Schubert Polynomials Through Ice
Schubert calculus has its origins in enumerative questions asked by the geometers of the 19th century, such as "how many lines meet four fixed lines in three-space?" These problems can be recast as questions about the structure of cohomology rings…
Find out moreAlexander Volberg, Michigan State University, Multi-parameter Poincaré inequality, multi-parameter Carleson embedding: Box condition versus Chang–Fefferman condition.
Carleson embedding theorem is a building block for many singular integral operators and the main instrument in proving ``Leibniz rule" for fractional derivatives (Kato--Ponce, Kenig). It is also an essential step in all known ``corona theorems’’. Multi-parameter embedding is a…
Find out moreFebruary 2021
Sudan Xing, University of Alberta, On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures
In 2011, Lutwak, Yang and Zhang extended the definition of the Lp-Minkowski convex combination (p ≥ 1) from convex bodies containing the origin in their interiors to all measurable subsets in R n , and as a consequence, extended the…
Find out moreOhad Klein, Bar-Ilan University, Israel, On the distribution of Randomly Signed Sums and Tomaszewski’s Conjecture
A Rademacher sum X is a random variable characterized by real numbers a_1, ..., a_n, and is equal to X = a_1 x_1 + ... + a_n x_n, where x_1, ..., x_n are independent signs (uniformly selected from {-1, 1}).…
Find out moreChristine Breiner, Fordham University, Harmonic branched coverings and uniformization of CAT(k) spheres
Consider a metric space (S,d) with an upper curvature bound in the sense of Alexandrov (i.e.~via triangle comparison). We show that if (S,d) is homeomorphically equivalent to the 2-sphere, then it is conformally equivalent to the 2-sphere. The method of…
Find out moreGalyna Livshyts, Georgia Institute of Technology, On an inequality somewhat related to the Log-Brunn-Minkowski conjecture
I shall prove a neat inequality concerning convex bodies and semi-norms, and show that cylinders (i.e. direct products of intervals with convex bodies of lower dimension) give equality cases for it. I shall explain its connections to the Log-Brunn-Minkowski conjecture.…
Find out moreRupert Frank, Caltech, Lieb-Thirring bounds and other inequalities for orthonormal functions
We discuss extensions of several inequalities in harmonic analysis to the setting of families of orthonormal functions. While the case of Sobolev-type inequalities is classical, newer results concern the Strichartz inequality, the Stein-Tomas inequality and Sogge’s spectral cluster estimates, among…
Find out moreAndrew Papanicolaou, NC State, Consistent Inter-Model Specification for Time-Homogeneous SPX Stochastic Volatility and VIX Market Models
This work explores the recovery stochastic volatility models (SVMs) from market models for the VIX futures term structure. Market models have more flexibility for fitting of curves than do SVMs, and therefore they are better-suited for pricing VIX futures and…
Find out moreMario Schulz, Queen Mary University, Families of free boundary minimal surfaces in the unit ball
The study of extremals for Steklov eigenvalues has revitalised the theory of free boundary minimal surfaces. One of the most basic open questions can be phrased as follows: Can a surface of any given topology be realised as an embedded…
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