**March 26, 2021**(Friday) at

**1:00 p.m.**

## Universal tensor categories and “algebraic functional analysis”

**Ivan Penkov (Jacobs University Bremen, Germany).**

**Abstract. **In this talk I will outline the construction of some tensor categories generated by two objects X, Y with a pairing X\otimes Y → 1 to the monoidal unit 1. These categories are categories of representations of certain infinite-dimensional Lie algebras, and they turn out to be universal in a sense which will be explained in the talk. The interpretation of Y as a dual space to X allows an analogy with functional analysis. Joint work with A. Chirvasitu, based on earlier joint work with V. Serganova.

The seminar will be held via Zoom and everyone can join at:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

Topic: Онлайн семинар на секция “Алгебра и логика”

Time: Apr 9, 2021 01:00 PM Sofia

Meeting ID: 851 3737 5021

Passcode: 035647

Algebra and Logic Department, IMI-BAS

http://www.math.bas.bg/algebra/seminarAiL/