Workshop on Additive Combinatorics and Algebraic Connections

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 other's results and methods in topics of common interest.

In person attendance was by invitation only.  All talks were hybrid via Zoom. 

Organizers: Jan Draisma (IAS), Ben Green (Oxford), Tamar Ziegler (IAS)

Confirmed Speakers:
Jop Briet (CWI)
Emmanuel Breuillard (University of Oxford)
Harm Derksen (Northeastern University)
Rachel Greenfeld (IAS)  
Noam Lifschitz (IAS)
Shachar Lovett (University of California, San Diego)      
Simon Machado (IAS) 
Luka Milicevic (SASA)
Guy Moshkovitz (Baruch College)
Peter Pach (Budapest University)
Sarah Peluse (IAS) 
Will Sawin (Columbia University)
Andrew Snowden (University of Michigan)
Caroline Terry (Oklahoma State University) 
Miguel Walsh  (UBA)                 

Schedule (pdf)

Monday, October 24 2022  https://theias.zoom.us/j/86042166832
Topic: Random Character Varieties
Speaker: Emmanuel Breuillard - University of Oxford
Time/Room: 10:00 AM - 11:00 AM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-0

Topic: The Polynomial Method and High-degree Varieties
Speaker: Miguel Walsh - University of Buenos Aires
Time/Room: 11:15 AM - 12:15 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-1

Topic: The Failure of the Periodic Tiling Conjecture
Speaker: Rachel Greenfeld - Member, School of Mathematics
Time/Room: 02:00 PM - 03:00 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-2

Tuesday, October 25 2022   https://theias.zoom.us/j/82701751003
Topic: Polynomial Maps With Noisy Input-Distributions
Speaker: Jop Briet - Centrum Wiskunde & Informatica
Time/Room: 10:00 AM - 11:00 AM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-3

Topic: Ranks of Tensors
Speaker: Guy Moshkovitz - Baruch College
Time/Room: 11:15 AM - 12:15 PM / Simonyi Hall Lectures S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-4

Topic: The Monomial Structure of Boolean Functions
Speaker: Shachar Lovett - University of California, San Diego
Time/Room: 02:00 PM - 03:00 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-5

Topic: The Alon-Jaeger-Tarsi Conjecture via Group Ring Identities
Speaker: Peter Pach - Budapest University
Time/Room: 04:00 PM - 05:00 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-6

Wednesday, October 26 2022 https://theias.zoom.us/j/88285801978
Topic: Tensorial Forms in Infinite Dimensions
Speaker: Andrew Snowden - University of Michigan
Time/Room: 10:00 AM - 11:00 AM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-7

Topic: G-stable Rank and the Cap Set Problem
Speaker: Harm Derksen - Northeastern University
Time/Room: 11:15 AM - 12:15 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-8

Topic: On Tensor Properties Preserved Under Linear Maps
Speaker: Jan Draisma - Eindhoven University of Technology; Member, School of Mathematics Time/Room: 02:00 PM - 03:00 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-9

Thursday, October 27 2022 https://theias.zoom.us/j/86809980237
Topic: Bounds for Subsets of $\mathbb{F}_p^n \times \mathbb{F}_p^n$ without L-shaped Configurations
Speaker: Sarah Peluse - Member, School of Mathematics
Time/Room: 10:00 AM - 11:00 AM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-10

Topic: Quantitative Inverse Theorem for Gowers Uniformity Norms $\mathsf{U}^5$ and $\mathsf{U}^6$ in $\mathbb{F}_2^n$
Speaker: Luka Milicevic - Serbian Academy of Sciences and Arts
Time/Room: 11:15 AM - 12:15 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-11

Topic: Higher Order Stability and Quadratic Arithmetic Regularity Lemmas
Speaker: Caroline Terry - Oklahoma State University
Time/Room: 02:00 PM - 03:00 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-12

Friday, October 28, 2022  https://theias.zoom.us/j/86714568936
Topic: Towards a Geometric Analogue of Sarnak's Conjecture
Speaker: Will Sawin - Columbia University
Time/Room: 10:00 AM - 11:00 AM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-13

Topic: Approximate Lattices in Algebraic Groups
Speaker: Simon Machado - Member, School of Mathematics
Time/Room: 11:15 AM - 12:15 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-14

Topic: Product Free Sets in Groups
Speaker: Noam Lifshitz - Member, School of Mathematics
Time/Room: 02:00 PM - 03:00 PM / Simonyi Hall Lecture S-101
Abstract URL: https://www.ias.edu/math/events/workshop-additive-combinatorics-and-algebraic-connections-15