Values of Behrend's microlocal function.

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Event details

Date 20.12.2012
Hour 15:1517:00
Speaker Andrew Morrison, ETHZ
Location
Category Conferences - Seminars
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.

Practical information

  • Informed public
  • Free

Organizer

  • Tamas Hausel

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