
Anthony Henderson
University of Sydney
Localization in characteristic p: an introduction
Friday 30th July, 12:0512:55pm,
Carslaw 175.
One of the key results in characteristic 0 representation theory is
the BeilinsonBernstein Localization Theorem. This relates
certain modules for a semisimple Lie algebra to Dmodules on
the corresponding flag variety, thus allowing the multiplicities
of simples in Verma modules to be expressed in terms of intersection
cohomology. Recently a generalization to the characteristic p case
was found by Bezrukavnikov, Mirkovic, and Rumynin. In this talk I will
attempt to introduce some of their ideas and explain the consequences
for representation theory.







