Previous Conferences & Workshops

Oct
25
2022

Workshop on Additive Combinatorics and Algebraic Connections

Ranks of Tensors
11:15am|Simonyi 101 and Remote Access

Abstract: Several equivalent definitions of rank for matrices yield non-equivalent definitions of rank when generalized to higher order tensors. Understanding the interplay between these different definitions is related to important questions in...

Oct
25
2022

Workshop on Additive Combinatorics and Algebraic Connections

Polynomial Maps With Noisy Input-Distributions
Jop Briet
10:00am|Simonyi 101 and Remote Access

Abstract: A problem from theoretical computer science posed by Buhrman asks to show that a certain class of circuits (NC0[+]) is bad at decoding error correcting codes under random noise. (This would be in contrast with an analogous class of quantum...

Oct
24
2022

Joint IAS/Princeton University Symplectic Geometry Seminar

Symplectic Embeddings and Toric Resolutions
Marco Castronovo
4:00pm|Fine 314 and Remote Access

I will first review the recent construction of polyhedral Liouville domains, which are subdomains of a complex torus whose boundary dynamics encodes the singularities of a toric compactification. I will then report on work in progress aimed at...

Oct
24
2022

Workshop on Additive Combinatorics and Algebraic Connections

The Failure of the Periodic Tiling Conjecture
2:00pm|Simonyi 101 and Remote Access

Abstract: Translational tiling is a covering of a space using translated copies of a building block, called a "tile", without any positive measure overlaps. What are the possible ways that a space can be tiled?
The most well known conjecture in this...

Oct
24
2022

Computer Science/Discrete Mathematics Seminar I

Average-Case Computational Complexity of Tensor Decomposition
Alex Wein
11:15am|West Lecture Hall and Remote Access

Suppose we are given a random rank-r order-3 tensor---that is, an n-by-n-by-n array of numbers that is the sum of r random rank-1 terms---and our goal is to recover the individual rank-1 terms. In principle this decomposition task is possible when...

Oct
24
2022

Workshop on Additive Combinatorics and Algebraic Connections

The Polynomial Method and High-degree Varieties
Miguel Walsh
11:15am|Simonyi 101 and Remote Access

Abstract: We will discuss some results on high-degree varieties designed to expand the reach of the polynomial method and explain their applications in incidence geometry.

Oct
24
2022

Workshop on Additive Combinatorics and Algebraic Connections

10:00am|Simonyi 101 and Remote Access
Sponsored by Dr. John P. Hempel

This workshop brought together researchers with diverse backgrounds ranging from algebra and algebraic geometry to combinatorics, harmonic analysis, and theoretical computer science. The aim was to learn from each...

Oct
24
2022

Workshop on Additive Combinatorics and Algebraic Connections

Random Character Varieties
10:00am|Simonyi 101 and Remote Access

Abstract: Irreducibility of random polynomials of large degree has been studied recently in works by several authors (in particular by Bary-Soroker, Kozma, Koukoulopoulos and by Varju and myself). We study analogous problems in the setting of word...

Oct
21
2022

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Symplectic convexity? (an ongoing story...)
Jean Gutt
9:15am|Remote Access

What is the symplectic analogue of being convex? We shall present different ideas to approach this question. Along the way, we shall present recent joint results with J.Dardennes and J.Zhang on monotone toric domains non-symplectomorphic to convex...