[geometry-ml:03051] MS seminar at Kavli IPMU -- Andrei Negut (MIT) -- Aug 22, 2017

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU

Speaker:	Andrei Negut (MIT)
Date: Tue, Aug 22, 2017, 13:15 - 14:45
Place: Seminar Room A

Title: W-algebras, moduli of sheaves on surfaces, and AGT

Abstract: To a smooth surface, we associate the W-algebra of type gl_r with two deformation parameters equal to the Chern roots of the cotangent bundle of S. We expect that the resulting algebra acts on the K-theory groups of moduli spaces of semistable rank r sheaves on S, and one can compute commutation relations between the algebra and the Carlsson-Okounkov Ext operator. When the surface is S=A^2, this allows one to present the Ext operator as a vertex operator for deformed W-algebras, thus yielding a mathematical proof of the 5d AGT relations with matter for the gauge group U(r).


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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp