Thematic Seminar: Flag varieties and representations of p-adic groups
Seminar | January 31 | 4:10-5 p.m. | 740 Evans Hall
Charlotte Chan, Massachusetts Institute of Technology
Geometry has had a remarkable influence on representation theory over the last century. In the 1950s, Borel, Weil, and Bott constructed the irreducible representations of complex semisimple Lie groups in the cohomology of line bundles on flag varieties. In the 1970s, Deligne and Lusztig defined a family of subvarieties of flag varieties whose cohomology realizes the irreducible representations of finite groups of Lie type. I will survey these stories, explain recent progress towards finding geometric constructions of representations of p-adic groups, and discuss interactions with the Langlands program.