Fox derivatives, group cohomology, and Kazhdan's property (T)

Speaker(s)

Piotr Mizerka

Affiliation

UAM

Date

March 22, 2022, 4:30 p.m.

Information about the event

4070 oraz zoom : 892 1108 9551 Password - type the number equal to rk(H^2((S^1)^{200};Z))

Seminar

Seminar Algebraic Topology

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In this talk I will focus on cohomology of finitely presented groups. I plan to investigate two conditions concerning it: vanishing and reducibility. They are generalizations of Kazhdan's property (T). The key tool to prove vanishing and reducibility of group cohomology I shall use is the Fox calculus. A new result about reducibility of cohomology of special linear group of degree three will be announced.

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