Algebra Seminar: Yang -- Double current algebras and applications

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.