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Reduction Theorems for global-local Conjectures

Presented by: 
Britta Späth
Date: 
Thursday 9th January 2020 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
This talk should give an overview of the reduction theorems proven in the last years. The aim is to prove certain long-standing conjectures relating representations of finite groups to the ones of certain subgroups by reducing them to statements about representations of finite quasi-simple groups and use the classification of finite simple groups.
Key to the proof of the reduction theorems is a refinement of Clifford theory. These results have also put forward numerous questions on the representations of finite simple groups.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons