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# Noam Lifshitz, Product free sets in the alternating group

## Wednesday, July 27, 2022 @ 4:30 PM - 5:30 PM KST

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

### Speaker

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?

In the talk we will completely solve the problem by determining the largest product free subset of $A_n$.

Our 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.

Based on a joint work with Peter Keevash and Dor Minzer.

## Details

Date:
Wednesday, July 27, 2022
Time:
4:30 PM - 5:30 PM KST
Event Category:
Event Tags:

## Venue

Zoom ID: 870 0312 9412 (ibsecopro) [CLOSED]

## Organizer

Joonkyung Lee (이준경)
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209