RCTS Algebraic Geometry Seminar

DATE2015-12-04 15:45-17:15



TITLEKazhdan-Lusztig Conjecture II

ABSTRACT Abstract: Let G be a semisimple algebraic group with g as its Lie algebra. Let X be the flag variety of G, i.e., the space of all Borel subgroups of G. In this talk, we first establish the Beilinson-Bernstein correspondence which says that the category of quasi-coherent D_{X}-modules is equivalent to the category of U(g)-modules with trivial central character and then show that the combination of these two correspondences (Riemann-Hilbert and Beilinson-Bernstein) can help us to prove the conjecture.