Speaker
Charlotte Chan
Description
Representation theory and the geometry of flag varieties are deeply intertwined. For finite groups of Lie type, Deligne and Lusztig's breakthrough work in 1976 defined Frobenius-twisted versions of flag varieties whose cohomology realizes all representations of these groups. In the last quarter-century, generalizations of Deligne-Lusztig varieties have allowed us to study representations of p-adic groups explicitly. I will describe recent advances in this subject and their relationship to the Langlands program.