Geometry/Physics Seminar

Title: Vertex Operators and Hilbert Schemes
Speaker: Erik Carlsson
Speaker Info: Northwestern
Brief Description:
Special Note:

For a long time people have recoginized that there is a (perhaps mysterious) connection between the cohomology of the Hilbert scheme of points on a surface and 2-d conformal field theory. The direct sum \bigoplusn Hilbn X is isomorphic to some Fock space in CFT, and the important operators on the CFT side make for valuable auxilliary gadgets on the Hilbert scheme side. I'll give a geometric construction for the "vertex operator" in CFT for any smooth surface, and show how this can be used for some simple Hilbert scheme calculations.
Date: Tuesday, January 20, 2009
Time: 4:00pm
Where: Lunt 107
Contact Person: Ezra Getzler
Contact email: getzler@northwestern.edu
Contact Phone:
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