Sergey Mozvogoy (TCD)

will speak on

Commuting matrices and Higman's conjecture

Time: 2:00PM
Date: Thu 19th September 2019
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: Higman's conjecture states that the number of conjugacy classes in the group of upper triangular matrices over $F_q$ is polynomial in $q$. It can be also formulated as a problem of counting commuting upper triangular matrices over a finite field. I will introduce a generalisation of this problem in terms of quiver representations and prove relations between various counting invariants that arise. In particular, I will show that the original conjecture is equivalent to polynomial-count of certain absolutely indecomposable quiver representations.

(This talk is part of the Algebra and Number Theory series.)

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