Past Events

TBA

The totally positive flag variety of rank r, defined by Lusztig, can be described as the set of rank r flags of real linear subspaces which can be represented by a matrix whose minors are all positive. We show that, for flag varieties of consecutive...

I will start with a survey on sums of random multiplicative functions, focusing on distributional questions and almost sure upper bounds and $\Omega$-results. In this context, I will describe previous work with Jake Chinis on a central limit theorem...

The mixing time and spectral gap of a random walk on the symmetric group can sometimes be understood in terms of its low dimensional representations (e.g., Aldous' spectral gap conjecture). It turns out that under a mild degree condition involving...

We introduce an inexact trust-region method for efficiently solving a class of problems in which the objective is the sum of a smooth, nonconvex function and nonsmooth, convex function. Such objectives are pervasive in the literature, with examples...

The rational points of a hyperbolic curve over a number field map to the set of augmentations of the associated motivic algebra. An expectation, closely related to the Grothendieck section conjecture, is that the set of augmentations which are...

It has been known since the 80s, thanks to Conrey and Ghosh, that the average of the square of the Riemann zeta function, summed over the extreme points of zeta up to a height $T$, is $\frac{1}{2} (e^2-5) \log T$ as $T \rightarrow \infty$. This...

Selection acts upon genes tied together on chromosomes. This physical association reduces the efficiency of evolution because, in the absence of sex, alleles must rise and fall together in frequency with the genome in which they are found. In this...

Introduction to knowledge graph with an application in Construction Code Compliance with BIM and Linked Building Data Abstract: Knowledge graph and ontology are powerful mathematical constructs that has a lot of applications. This presentation begins...

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...