Fixed-point loci in the Hilbert schemes of points in the plane

Giovedì 17 giugno 2021, ore 14:30, Jorgen Rennemo (Oslo)  terrà il seminario di Geometria dal titolo "Fixed-point loci in the Hilbert schemes of points in the plane".

Abstract: The Betti numbers of Hilbert schemes of points in the plane were first computed by Ellingsrud and Strømme. In this talk, we'll let a finite cyclic group act on the plane, and consider the analogous problem of computing the Betti numbers of the fixed loci under the induced action on the Hilbert scheme of points. The main result is a new product formula for the Betti numbers in the case where no element of the group fixes the symplectic form on the plane. This is joint work with Paul Johnson.

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