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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The principal block of a Z_l-spets.

## The principal block of a Z_l-spets.Add to your list(s) Download to your calendar using vCal - Radha Kessar (University of London)
- Thursday 12 May 2022, 09:00-09:50
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. GR2W01 - Counting conjectures and beyond The Broue-Malle-Michel theory of spetses associates to certain complex reflection groups combinatorially defined data sets whose properties reflect those of unipotent characters of finite reductive groups. On the other hand, the Dwyer-Wilkerson theory of l-compact groups associates to l-adic reflection groups topological spaces which possess much of the structure of compact groups. In this talk, I will discuss how combining spetsial theory with the theory of l-compact groups can be used to define the notion of the principal block of an Z_l-spets which on a numerical level conjecturally resembles the principal l-block of a finite group. I will present some supportive evidence which goes through a new Yokonuma type algebra construction for torus normalisers in l-compact groups. This is joint work with Gunter Malle and Jason Semeraro. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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