Mar 30 at 17:30 in 507

Title: Symmetries of cotangent bundles of generalized base affine spaces. 

Abstract: Given an affine algebraic variety X over C, a natural question to ask is what symmetries its cotangent bundle admits. One fundamental source of such symmetries is the Fourier transform. We will explain how these Fourier transforms can be adapted to produce symmetries of the affinization of T^*X in the case of the base affine space X=SL_n/U and more generally the case of X=SL_n/[P,P] for P a standard parabolic subgroup. As a byproduct, we construct many examples of affine algebraic varieties that are not isomorphic, but whose cotangent bundles are isomorphic.