## Algebraic Geometry Seminar: Andrew Morrison

• Date: 01/14/2013
• Time: 15:10
Lecturer(s):
Andrew Morrison, ETH Zürich
Location:

University of British Columbia

Topic:

Behrend's function is constant on Hilb^n(C^3)

Description:

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.

Other Information:

Location: ESB 2012