Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Mark David Penney
Affiliation:

MPIM
Date:

Wed, 2017-11-22 10:30 - 12:00 In the 90s Crane-Frenkel proprosed the construction of a 4d TQFT from a bimonoidal category, that is, a category equipped with both a monoidal and comonoidal structure so that the data defining the comonoidal structure is itself monoidal. In this talk I will explain a conceptual reason for the connection between bialgebras and TFTs. Secondly, I will describe how to extend the classical construction of the Hall algebra of an abelian category to produce new examples of bimonoidal categories: the Hall bimonoidal categories. The approach taken is based on the theory of 2-Segal spaces introduced by Dyckerhoff-Kapranov and Galvez-Carrillo-Kock-Tonks.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/4234

[3] http://www.mpim-bonn.mpg.de/node/3946