I will report on a work in progress joint with Andrei Okounkov.
We extend the methods developed in an earlier work with Mirkovic
and Rumynin on modular representations of semi-simple Lie algebras
to representation of symplectic reflection algebras...
This talk is concerned with categorification of quantum
Kac-Moody algebras and their integrable representations. First, I
show how to fulfill the task by using sheaf theory. Then I will
argue that the constructions could be well understood and...
It is long expected that to study the representation theory of
the double loop group and the corresponding Lie algebra, the third
cohomology group should play an important role. The idea is that
the third cohomology classes are naturally realized...
