Previous Conferences & Workshops

Chernoff's bound states that for any $A \subset [N]$ the probability a random $k$-tuple $s \in {[N] \choose k}$ correctly `samples' $A$ (i.e. that the density of $A$ in $s$ is close to its mean) decays exponentially in the dimension $k$. In 1987...

I will describe a new bipartite Euler system-type construction system for GSp_4 and its inner forms, based on the special cycles appearing in the Kudla program (for instance, Shimura curves on Siegel threefolds). This leads to new results towards...

Lorentzian polynomials serve as a bridge between continuous and discrete convex analysis, with tropical geometry providing the critical link. The tropical connection is used to produce Lorentzian polynomials from discrete convex functions, leading...

In this talk, I'll show that the most natural low-degree test for polynomials over finite fields is ``robust'' in the high-error regime for linear-sized fields. This settles a long-standing open question in the area of low-degree testing, yielding...

September 20, 2024 at the Institute for Advanced Study and by Zoom. 

11:00am (ET) Introduction   Karen H Parshall (University of Virginia)...

In this talk, I will describe a new definition, joint with Bivas Khan, for a tropical toric vector bundle on a tropical toric variety. This builds on the tropicalizations of toric vector bundles, and can be used to define tropicalizations of vector...