Construction of factorization algebras from higher dimensional multiplicative Deligne cohomology classes

Dennis Borisov (Aarhus University)
Wednesday 23 January 2019 14:15–15:15 Aud. D2 (1531-119)
Seminar
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: Cristiano Spotti & Martin de Borbon Revised: 15.01.2019