Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, April 9, 2014.

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Wednesday, April 9, 2014

3:00 pm in 145 Altgeld Hall,Wednesday, April 9, 2014

#### Instantons from residues of Liouville CFT

###### Shamil Shakirov   [email] (U. C. Berkeley)

Abstract: An interesting topic in modern mathematical physics is the so-called "2d\4d relation" between Liouville conformal blocks (hypergeometric type integrals over contours in CP^1) and instanton counting (sums over fixed points in the moduli space of instantons in C^2). We will tell about a simple way to prove this relation, using a natural q-deformation of the both sides. After the q-deformation, the Liouville integrals acquire poles and can be taken by residues. These residue sums are manifestly the sums that appear in instanton counting.