Previous Conferences & Workshops

Sep
24
2024

Computer Science/Discrete Mathematics Seminar II

Concentration on HDX: Derandomization Beyond Chernoff
10:30am|Simonyi 101 and Remote Access

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...

Sep
23
2024

Joint IAS/PU Arithmetic Geometry

Selmer Ranks for Some Four-Dimensional Symplectic Galois Representations, in the Spirit of Bipartite Euler Systems
Naomi Sweeting
3:40pm|322 Fine Hall

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...

Sep
23
2024

Members' Colloquium

Lorentzian Polynomials, Matroids over Hyperfields, and Related Topics
1:00pm|Simonyi 101 and Remote Access

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...

Sep
23
2024

Computer Science/Discrete Mathematics Seminar I

An Improved Line-Point Low-Degree Test
Prahladh Harsha
11:00am|Simonyi 101 and Remote Access

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...

Sep
20
2024

History of Modern Mathematics: A Conversation

Alma Steingart, Volker Remmert, Rebecca Waldecker, Helmut Hofer and Akshay Venkatesh
11:00am|Simonyi Hall 101 and Remote Access

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

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

Sep
19
2024

Special Year Seminar II

Tropical Vector Bundles
10:00am|Simonyi 101

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...