Title: Affine Yangian & quantum toroidal algebra — relation with integrability & application to AGT conjecture

Speaker: Yutaka Matsuo (University of Tokyo)

Abstract: In this talk, I first review the role of affine Yangian (AY)
to prove AGT conjecture. I emphasize that the duality in the
representation plays an essential role to prove the conjecture. I also
explain that the connection with the integrability as the name of the
algebra suggests. In the second part, if the time permits, I would
like to explain my recent work on the corner vertex operator algebra.
Some emphasis is put on the connection with the plane partition
realization and free field representations.

Time: Friday, 15 November 2019, 2.30pm

Location: Seminar Room, School of Theoretical Physics, DIAS,
10 Burlington Road, Dublin 4