Zassenhaus Lecture - Pavel Etingof

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Pavel Etingof
March 26, 2019
4:15PM - 5:15PM
Location
Cockins Hall 240

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Add to Calendar 2019-03-26 16:15:00 2019-03-26 17:15:00 Zassenhaus Lecture - Pavel Etingof Title: Lecture 2 Representation theory in non-integral rank Speaker: Pavel Etingof (Massachusetts Institute of Technology) Abstract: Examples of symmetric tensor categories over complex numbers which are not representation categories of supergroups were given by Deligne-Milne in 1981. These very interesting categories are interpolations of representation categories of classical groups GL(n), O(n), Sp(n) to arbitrary complex values of n. Deligne later generalized them to symmetric groups and also to characteristic p, where, somewhat unexpectedly, one needs to interpolate n to p-adic integer values rather than elements of the ground field. I will review some of the recent results on these categories and discuss algebra and representation theory in them. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Description

Title: Lecture 2 Representation theory in non-integral rank

SpeakerPavel Etingof (Massachusetts Institute of Technology)

Abstract: Examples of symmetric tensor categories over complex numbers which are not representation categories of supergroups were given by Deligne-Milne in 1981. These very interesting categories are interpolations of representation categories of classical groups GL(n), O(n), Sp(n) to arbitrary complex values of n. Deligne later generalized them to symmetric groups and also to characteristic p, where, somewhat unexpectedly, one needs to interpolate n to p-adic integer values rather than elements of the ground field. I will review some of the recent results on these categories and discuss algebra and representation theory in them.

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