Equivariant cohomology of the moduli space of instantons on A^2 and W-algebras

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Event details

Date 16.11.2012
Hour 10:1512:00
Speaker Olivier Schiffmann, University of Paris Sud, Orsay
Location
Category Conferences - Seminars
We will construct an action of a suitable W-algebra on the equivariant cohomology of the moduli space of U(r)-instantons on R^4, and identify the corresponding module with a Verma module. We will show that the fundamental class of the moduli space is a Whittaker vector, as conjectured by Alday-Gaiotto-Tachikawa (AGT). A crucial role is played by the cohomological Hall algebra of the commuting variety. This is joint work with E. Vasserot.

Practical information

  • General public
  • Free

Organizer

  • Tamas Hausel, EPFL

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