[Turkmath:9803] Jesper Moller'in ziyareti

[Ergun Yalcin]

Degerli liste uyeleri,

Kopenhag Universitesi'nden Jesper M. Moller 11-17 Mayis 
tarihleri arasinda Bilkent Universitesi'nde konugumuz olacaktir. 
Bu ziyaret sirasinda asagida detaylari verilen konusmayi yapacaktir. 

Ilgilenen herkesi bekleriz.

Saygilarimla,
Ergun Yalcin



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BILKENT UNIVERSITY GENERAL SEMINAR

Speaker: Jesper Michael Moller (University of Copenhagen)

Title: Categories of p-subgroups

Time: May 14, Wednesday 15:40-16:30

Place: Bilkent Math. Department Seminar Room

Abstract: Let G be a finite group and p a prime number. The set 
p-subgroups of G form the object set of at least six different categories: 
The poset ordered by inclusion, the transporter category, the fusion category,
the exterior quotient of the fusion category, the orbit category, the
linking category. These categories admit weightings and coweightings
defining their Euler characteristics.

The (co)weigtings for the various p-subgroup categories seem to carry 
interesting information:
1. They point to homotopy equivalences between certain
subcategories of the p-subgroup categories 
2. They relate Frobenius' theorem on the number of solutions in G to
g^n=e to Brown's theorem on the Euler characteristic of the poset of 
p-subgroups 
3. They may have something to say about the two big conjectures, 
Quillen's conjecture on contractibility of p-subgroup posets 
and  Alperin's Weight Conjecture, in this area.

More information can be found here
http://arxiv.org/abs/math/0610260
http://arxiv.org/abs/1007.1890
http://arxiv.org/abs/1301.0193

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