Type: Seminar

Distribution: World

Expiry: 15 Jun 2018

CalTitle1: Algebra seminar: Double current algebras and applications

Auth: kevinc@pkevinc.pc (assumed)

Yaping Yang (University of Melbourne) Friday 27 April, 12-1pm, Place: Carslaw 375 Title: Double current algebras and applications Abstract: The deformed double current algebra associated to a complex simple Lie algebra g is defined by Guay recently as a rational degeneration of the quantum toroidal algebra of g. It deforms the universal central extension of the double current algebra g[u, v]. In my talk, I will introduce the deformed double current algebra and give two applications. The first is the elliptic Casimir connection constructed by Toledano Laredo and myself. It is a flat connection with logarithmic singularities on the elliptic configuration space. The second is the work of Kevin Costello on the AdS/CFT correspondence in the case of M2 branes in an \Omega-background.