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Algebra Seminar

Relative weights and relative Weyl groups

Damiano Rossi - Rutgers University

Location:  Hill 705
Date & time: Wednesday, 25 March 2026 at 2:00PM - 3:00PM

Weights are important objects in modular representation theory of finite groups and encode fundamental information. More generally, the notion of a relative weight, introduced by Robinson, can be used to state important conjectures in the field. In this talk, I will recall the definition of a relative weight and introduce some of the problems related to these objects. I will then focus on the specific case of a finite reductive group and show how these problems can be studied by using information coming from relative Weyl groups. In order to achieve this task, I will first introduce and describe some of the fundamental objects and results underlying Deligne-Lusztig theory.