Algebraic Geometry Seminar: Andrew Morrison
Topic
Behrend's function is constant on Hilb^n(C^3)
Speakers
Details
By a theorem of Behrend Donaldson-Thomas invariants can be defined interns of a certain constructible function. We will compute this function at all points in the Hilbert scheme of points in three dimensions and see that it is constant. As a corollary we see that this Hilbert scheme of points is generically reduced and its components have the same dimension mod 2. This gives an application of the techniques of BPS state counting to a problem in Algebraic Geometry.
Additional Information
Location: ESB 2012
Andrew Morrison, ETH Zürich
Andrew Morrison, ETH Zürich
This is a Past Event
Event Type
Scientific, Seminar
Date
January 14, 2013
Time
-
Location