[Turkmath:3624] Bilkent Cebir Semineri 11 Şubat - Gelvin

[Fatihcan Atay]

Değerli liste üyeleri, 

Bilkent Matematik Bölümü Cebir Seminerleri kapsamında 11 Şubat 2019’de Matthew Gelvin konuşmacı olacaktır. İlgilenen herkes davetlidir. 


Matthew Gelvin (Bilkent) 

“A conjecture on the module structure of the source algebra of a block” 

Özet: A p-block B of the finite group G gives rise to a saturated fusion system on its defect group D. As B is a p-permutation D-algebra, it also possesses a linear basis that is closed under the left and right multiplicative actions of D; this basis is well-defined as a (D, D)-biset. One might ask if this biset is characteristic for the block fusion system, but the answer unfortunately turns out to be no.
However, there is another algebra we might consider:
The block algebra also gives rise to the source algebra S, smaller but with the same representation theory. The algebra S is also a p-permutation (D, D)-algebra, and it is an open question whether a (D, D)-invariant basis of S is characteristic for the block fusion system.
In this talk, representing joint work with Laurence Barker, I will explain how the affirmative answer is implied by another conjecture, namely, that S has a (D,D)-invariant basis consisting of units. I will then outline several equivalent reformulations of the latter conjecture.


Tarih: 11 Şubat 2019 Pazartesi, 10:40-11:50 
Bilkent Matematik Bölümü Seminer Odası SA - 141 
Konuşma öncesinde çay-kurabiye ikramı yapılacaktır. 


Fatihcan Atay
Bilkent Üniversitesi Matematik Bölümü
https://twitter.com/Bilkent_math