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Reduction Theorems for global-local Conjectures

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GRAW01 - Introductory/instructional workshop

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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