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DTSTART:20220101T000000
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DTSTART;TZID=Asia/Seoul:20220727T163000
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SUMMARY:Noam Lifshitz\, Product free sets in the alternating group
DESCRIPTION:A subset of a group is said to be product free if it does not contain the product of two elements in it. We consider how large can a product free subset of $A_n$ be? \nIn the talk we will completely solve the problem by determining the largest product free subset of $A_n$. \nOur proof combines a representation theoretic argument due to Gowers\, with an analytic tool called hypercontractivity for global functions. We also make use of a dichotomy between structure and a pseudorandomness notion of functions over the symmetric group known as globalness. \nBased on a joint work with Peter Keevash and Dor Minzer.
URL:https://dimag.ibs.re.kr/event/2022-07-27/
LOCATION:Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]
CATEGORIES:Virtual Discrete Math Colloquium
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