Reduction Theorems for global-local Conjectures

Duration: 60 mins

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Description:	Späth, B Thursday 9th January 2020 - 11:30 to 12:30


Created:	2020-01-14 08:51
Collection:	Groups, representations and applications: new perspectives
Publisher:	Isaac Newton Institute
Copyright:	Späth, B
Language:	eng (English)


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.

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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