Construction of factorization algebras from higher dimensional multiplicative Deligne cohomology classes

Dennis Borisov
(Aarhus University)
Seminar
Wednesday, 23 January, 2019, at 14:15-15:15, in Aud. D2 (1531-119)
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.
Organised by: QGM
Contact person: Cristiano Spotti & Martin de Borbon