Room 515, Cosmology Building, NTU
(臺灣大學次震宇宙館 515研討室)
Traces of Convolution Categories
Harrison Chen (Institute of Mathematics, Academia Sinica)
Abstract
We will introduce the notion of traces or Hochschild homology of monoidal categories. We will discuss functoriality of traces, a trace-valued character map, and compatibility of iterated traces. Finally, we will discuss the example of convolution categories and the role traces play in various proposed (geometric) local Langlands conjectures.