Title: Construction of factorization algebras from higher dimensional multiplicative Deligne cohomology classes
2018.12.17 |
Date | Wed 23 Jan |
Time | 14:15 — 15:15 |
Location | 1531-119 (Aud. D2) |
Abstract:
I will start with a geometric description of Deligne cohomology and then prove that on any k-dimensional manifold X one can construct a factorization algebra starting with a multiplicative k-1-dimensional Deligne cohomology class on a compact group G. The construction goes through a line bundle on the Beilinson-Drinfeld Grassmannian Gr(X,G) and then uses nuclearity of rings of smooth functions.