Character Triple Conjecture for Groups of Lie Type

Abstract: Dade’s Conjecture is an important conjecture in representation theory of finite groups. It implies most of the, so called, global-local conjectures. In 2017, Späth introduced a strengthening of Dade’s Conjecture, called the Character Triple Conjecture, which describes the Clifford theory of corresponding characters. Moreover, she proved a reduction theorem, namely that if her conjecture holds for every quasisimple group, then Dade’s Conjecture holds for every finite group. Extending ideas of Broué, Fong and Srinivasan we provide a strategy to prove the Character Triple Conjecture for quasisimple groups of Lie type in the nondefining characteristic.

group theory

Audience: researchers in the topic

Finite Groups in Valencia

Series comments: The seminar meets weekly from February 26th to March 30th 2021.

For a detailed schedule and registration details, please visit the seminar webpage at

sites.google.com/view/finite-groups-seminar2021