Aarhus University Seal / Aarhus Universitets segl

QGM seminar by Dennis Borisov (AU)

Title: Construction of factorization algebras from higher dimensional multiplicative Deligne cohomology classes

2018.12.17 | Jane Jamshidi

Date Wed 23 Jan
Time 14:15 15:15
Location 1531-119 (Aud. D2)


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.