Virtual Workshop on Recent Developments in Geometric Representation Theory

Representations on KU-modules

Algebraic topologists talk about an elevator from characteristic zero to characteristic p, with infinitely many floors in between called chromatic levels. I think you could "do representation theory" at any of these levels. I once tried to explore the first level: A "KU-module", or anyway a $p$-adically complete KU-module, is a level one version of a complex vector space (at level zero) and of a $Z_p$-module (at level infinity). KU is a name for topological K-theory, in the talk I'll discuss representations --- probably, mostly, of finite groups --- on $p$-complete KU-modules. Representations are harder to model in this world but some computations are easier, for about the same reason that K-theory is sometimes easier to compute than cohomology.

Date & Time

November 18, 2020 | 3:30pm – 4:30pm

Location

Wolfensohn Hall and Remote Access

Affiliation

Boston College

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