[Turkmath:9370] Fwd: General Seminar

[Ergun Yalcin]

Değerli liste üyeleri,

Kopenhag Üniversitesinden Jesper Grodal bu hafta Bilkent Üniversitesinde
ziyaretçi olarak bulunmakta. Yarın genel seminerde aşağıda özeti verilen
semineri verecek. İlgilenen tüm matematikçileri bekliyoruz.

Ergün Yalçın

>  
> 
> Speaker: Jesper Grodal
> 
> Affiliation: University of Copenhagen
> 
> Date and Place : 11.27.2013 at 3:40 in seminar room
> 
> 
> Title: Group cohomology and control of p-fusion
> 
> Abstract: I will report on recent joint work with Dave Benson and Ellen
> Henke. We show that if an inclusion of finite groups H < G of index prime
> to p induces an F-isomorphism of mod p cohomology rings, or equivalently a
> homeomorphism of cohomology varieties, then H controls p-fusion in G, if p
> is odd -- in particular the map on cohomology is in fact an isomorphism.
> This generalizes classical results of Quillen, who proved this when H is
> the Sylow p-subgroup, and also implies a hitherto difficult result of
> Mislin about cohomology isomorphisms. For p = 2 we give analogous results,
> at the cost of replacing mod p cohomology with higher chromatic cohomology
> theories, and using Hopkins-Kuhn-Ravenel character theory. The results
> follow from of a general algebraic theorem we prove about p-fusion
> systems, that roughly says that isomorphisms between p-fusion systems are
> detected on elementary abelian p-groups. My talk will be a gentle
> introduction to these results, and the surrounding mathematics.
> 
> 
> 
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