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Sam Raskin "Twisted cohomology of Zastava spaces and the semi-infinite flag variety"

IHP
Salle 314

Sam Raskin (MIT)
Twisted cohomology of Zastava spaces and the semi-infinite flag variety


Zastava spaces were defined by Finkelberg-Mirkovic as the intersection of certain almost transverse affine space orbits in the affine Grassmannian.
We'll discuss the computation of "twisted de Rham cohomology" (to be defined in the talk) of these Zastava spaces. We will then give an application to some problems in infinite-dimensional algebraic geometry.