Mackey Machine and Duality of Gerbes on Orbifolds
主 题: Mackey Machine and Duality of Gerbes on Orbifolds
报告人: 唐翔 教授 (Washington University)
时 间: 2012-06-05 16:00-17:00
地 点: 理科一号楼 1556
Let G be a finite group and Y a G-gerbe over an orbifold B. We will explain a construction of a new orbifold widehat{Y} and a flat U(1)-gerbe c on widehat{Y}. Motivated by a conjecture in physics, we study a mathematical duality of G-gerbes, which asserts that the geometry of Y is equivalent to the geometry of widehat{Y} twisted by c. The Mackey machine provides us the right tool to study such a problem. We will discuss some results in symplectic topology with the help of noncommutative geometry.
