Abstract:

We study the cohomology of the moduli space Cn(X) of matrix points on a variety X, which we think of as non-commutative Weil restriction from the algebra of n-by-n matrices to the ground field. To achieve this, we constructed a more combinatorial space Sn(X), which is birationally isomorphic to Cn(X). Via a crucial application of base change for good moduli morphisms, we show that these two spaces have the same cohomology, and derive a nice combinatorial formula for the cohomology of Cn(X), validating the Weil restriction heuristic.

组织者：郑志伟教授