Eighty-fifth BLOC meeting


BLOC

Bristol Leicester Oxford Colloquium

The 85th BLOC meeting will be held on 2 September 2019 at City University London.

Talks will take place in ELG11.



 

Programme:



12.15 Lunch: Banana Tree, 412-416 St. John Street, London EC1V 4NJ


13:45 Reuben Green (Kent)

Representation theory of wreath products


14:45 Celeste Damiani (Leeds) TBA


Tea


16:30 Xueqin Hu (Wuhan)

Blocks with abelian defect group of rank 2 and one simple module

Please let Joe Chuang know by 29 August if you are coming to the meeting, especially if you are coming for lunch.

Abstracts:

Reuben Green: The wreath product of a finite group, or more generally an algebra, with a symmetric group is a familiar and important construction in representation theory and other areas of Mathematics. I shall present some highlights from my work on the representation theory of wreath products. These will include  both structural properties (for example, that the wreath product of a cellular algebra with a symmetric group is again a cellular algebra) and cohomological ones (one particular point of interest being a generalisation of the result of

Hemmer and Nakano on filtration multiplicities to the wreath product of two symmetric groups.


Xueqin Hu: In this talk, we will investigate the block of which Brauer correspondent has only one simple module. It is motivated by the work of Kessar and Linckelmann. They showed that there is an isotypy between the block and its Brauer correspondent when the defect group is elementary abelian of rank 2 and the Brauer correspondent has only one simple module. We will generalize this result to the block with abelian defect group of rank 2 and get an isotypy when the Brauer correspondent has only one simple module. The main tool we use is the so-called local system introduced by Puig and Usami.

 

 

BLOC is supported by an LMS Scheme 3 grant, which is used to help offset travel costs for participants, with priority given to covering travel and accommodation costs for speakers and postgraduates. Because we are at the end of the financial year for BLOC, please send your travel claims by email by 4 September 2019 to schroll@le.ac.uk.

Travel information is HERE.

Reimbursement: Please check with the organisers whether your travel costs can be reimbursed. If so then please download the following form, complete it and SIGN it and fill in your address. Please send a physical copies  together with your original receipts to

Prof Sibylle Schroll

School of Mathematics and Actuarial Sciences

University of Leicester

Leicester LE1 7RH



For further information please contact one of the organisers:

Joe Chuang
Karin Erdmann
Jeremy Rickard
Sibylle Schroll

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