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Michael Mertens: Class Numbers, Finite Simple Groups, and Arithmetic

Time: Wed 2021-09-29 13.15 - 14.15

Location: Zoom, meeting ID: 694 6016 6420 (password required)

Lecturer: Michael Mertens (Liverpool)

Abstract: In recent years, the subject of Moonshine, which provides a still somewhat surprising connection between the theory of modular forms and the representation theory of finite groups — most notably the Monster group, has also been connected to arithmetic questions. In my talk I’m going to discuss some first steps in order to investigate such connections systematically. In particular, I am going to present some new versions of moonshine for several of the sporadic simple Mathieu groups, as well as an infinite family of finite simple groups as well as arithmetic connections, e.g., for the famous Congruent Number Problem.

Note: The passcode was sent to the AG and NT mailing lists. If you're not on these lists and would like to attend, or are having trouble accessing the meeting, please email Wushi Goldring at wgoldring@math.su.se . To be added to the AG mailing list, please email Jonas Bergström at jonasb@math.su.se .

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Last changed: Sep 25, 2021