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Inductive local-global conditions and generalized Harish-Chandra theory

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GR2W01 - Counting conjectures and beyond

We introduce a parametrization of generalized Harish-Chandra series that is compatible with Clifford theory and with the action of automorphisms. From this, we deduce the inductive condition for Dade’s Conjecture for groups of Lie type in good non-defining characteristic. Finally, we propose a strategy to prove the above mentioned parametrization and show how this problem reduces to some questions on stabilizers and extendibility of characters.

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

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