[Turkmath:3382] Bilkent Cebir Semineri - Laurence Barker- 19.11.2018

[Bilkent Mathematics]

Değerli liste üyeleri, 

Bilkent Matematik Bölümü Cebir Seminerleri kapsamında 19 Kasım'da Laurence
Barker konuşmacı olacaktır. 


Laurence Barker (Bilkent Üniversitesi) 

"An introduction to fusion systems, Alperin's Weight Conjecture,
Linckelmann's Gluing Conjecture, part 2." 

Özet: We shall introduce the fusion system of a block, constructing it as a
subquotient category of the transporter category of the G-poset of Brauer
pairs. We shall use it to express Puig's reformulation of Alperin's
Conjecture, which is a p-local assertion in Puig's strong sense. Examples
show that the fusion system cannot be the sole p-local invariant involved.
Like a New Year tree, the fusion system has to be decorated. The appropriate
decorations consist of twists of the automorphism groups at some special
objects called the centric objects. Linckelmann's Gluing Conjecture says
that those twists can be unified, realized as a single twist of the category
algebra of the centric part of the fusion system.


Tarih: 19 Kasım 2018 Pazartesi, 10:40 - 11:50 
Bilkent Matematik Bölümü Seminer Odası SA - 141 

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