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New Bounds for the Furstenberg-Sarkozy Theorem

Algebraic and Analytic Methods in Combinatorics March 17, 2025 - March 21, 2025

March 18, 2025 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Mehtaab Sawhney (Columbia University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

New Bounds for the Furstenberg-Sarkozy Theorem

Abstract

Zoom Link

We discuss improved bounds for sets with no square difference. A crucial development in our proof is importing tools related to hypercontractivity to the arithmetic setting.

Based on joint work with Ben Green

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Video/Audio Files

New Bounds for the Furstenberg-Sarkozy Theorem

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