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Growth of class numbers of unipotent groups

Presented by: 
Tobias Rossmann
Date: 
Friday 31st January 2020 - 09:10 to 10:00
Venue: 
INI Seminar Room 1
Abstract: 
This talk is devoted to the symbolic enumeration of conjugacy classes in infinite families of finite p-groups attached to a given unipotent algebraic group. I will report on recent joint work with Christopher Voll which solves this problem for unipotent groups associated with graphs. As a by-product, we obtain polynomiality results in the spirit of Higman's conjecture on class numbers of unitriangular matrix groups.
Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons