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Non-abelian Littlewood-Offord theorems

Hot Topics: Interactions between Harmonic Analysis, Homogeneous Dynamics, and Number Theory March 03, 2025 - March 07, 2025

March 06, 2025 (10:15 AM PST - 11:15 AM PST)
Speaker(s): Emmanuel Breuillard (Université de Paris XI)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Non-abelian Littlewood-Offord theorems

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We prove uniform exponential estimates for the probability that a product of independent random variables with values in a Lie group hits a point, a subgroup, a subvariety. Joint work with Oren Becker.

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Non-abelian Littlewood-Offord theorems

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