Past Events

The framework of mirror symmetry, originally discovered by string theorists, asserts that geometric objects come in "mirror pairs" (X,Y), where the enumerative geometry (e.g. quantum cohomology) of X controls the complex geometry of the mirror dual Y...

I'll introduce a class of cluster patterns for tensor data used in pattern matching, outlier detections, statistics and signal processing. Then I will show they are all shadows of a general pattern detected efficiently by algebra, specifically Lie...

Abstract: Invariant random subgroups are conjugation invariant measures on the space of subgroups of a given group G. Their study provides a fertile playground for the interaction of algebra, geometry, probability and ergodic theory. On one hand...

A phase transition is a phenomenon in physics, chemistry, and other related fields where the macroscopic behavior of a system changes qualitatively when the tuning parameter (such as temperature) that governs local interactions is varied by a small...

Similar to how the integers can be equipped with an ordering that is invariant with respect to addition, many groups can be equipped with an ordering that is invariant under the group operation. But aside from being a curious generalization of a...

It is a well-known result of Harish-Chandra that most invariant distributions on real and p-adic reductive groups (e.g., Fourier transforms of orbital integrals, and characters of representations) are represented by locally integrable functions on...

We will explore how a Fourier optimization framework may be used to study two classical problems in number theory involving Dirichlet characters: The problem of estimating the least character non-residue; and the problem of estimating the least prime...

School timetabling is a complex problem in combinatorial optimization, requiring the best possible assignment of course sections to teachers, timeslots, and classrooms. For educational institutions, the Master Timetable dictates to every single...

Given a parabolic subgroup W I of a Coxeter system ( W , S ) , the set of left cosets w W I , for I ⊆ S , w ∈ W , is well-studied. However, the set of double cosets I , J ⊆ S for I , J ⊆ S is a less studied object. I want to analyze the double cosets...