Department of Mathematics


  •  Finite linear groups and duality
  •  12/04/2017
  •  4:10 PM - 5:00 PM
  •  C304 Wells Hall
  •  Daniel Le, University of Toronto

Finite groups of Lie type provide an extremely rich source of examples for group theory and representation theory because they form a bridge between the discrete and continuous worlds. Deligne and Lusztig classified their representation theory following Drinfeld's crucial inspiration from the Langlands program. We describe how Deligne-Lusztig theory can be augmented using recent advances in the Taylor-Wiles method to obtain classifications of modular and integral representations of the finite linear group GL(3,q). This is joint work with B. Le Hung, B. Levin, and S. Morra.



Department of Mathematics
Michigan State University
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