EVENT DETAILS AND ABSTRACT

Title: Invariants of 3-manifolds and topological quantum field theory. The past, the present and the future.
Speaker: Nicolai Reshetikhin
Speaker Info: Tsinghua University
Brief Description:
Special Note:
Abstract:

We will start with the description of integral forms of $U_q({\mathfrak g})$. Then we focus on the category of modules over the specialization of the De Concini-Kac integral from to a root of unity and we will show how to use this category to construct invariants of knots with a flat connection in the complement.

Then, in conclusion, some open problems concerning non-semisimple TQFT, semiclassical limits of combinatorial invariants of 3-manifolds and others will be discussed.