Fundamental lemma

First, Vadim Vologodsky will explain the statement of the Fundamental Lemma for an arbitrary group (following Nadler's article) and why in the case of $SL(n)$ the Lemma reduces to the assertion on lattices (see the text), we discussed the last time. Then, Vasily Krylov will explain how the Fundamental Lemma follows from a certain statement on the cohomology of affine Springer fibers.