Arithmetic Study Group: An introduction to the Deligne-Lusztig theory
11 February 2014 13:00 in CM107
The Deligne-Lusztig generalized induction is a generalization of the parabolic induction for finite subgroups of reductive groups, e.g. GL_n(F_q), SL_n(F_q), U_n(F_q). This induction functor is based on using the l-adic cohomology (with compact support) of certain varieties attached to those groups as (virtual) bi-modules. In the talk I would like to give an introduction to this construction, together with some of its significant features, and some explicit computations.
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