Calogero-Moser Spaces Over Algebraic Curves

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Y. Berest, Cornell
Fine Hall 314

The Calogero-Moser correspondence gives a simple geometric classification of projective D-modules on algebraic curves. I will describe a `universal' construction of this correspondence using smooth noncommutative geometry (in the sense of Cuntz-Quillen and Kontsevich-Rosenberg). Time permitting, I will discuss some applications of this correspondence in geometry and representation theory.