Introduction to Bicategories and Extended Topological Field Theories

Abstract: In this talk, I will motivate and introduce bicategories and extended Topological Field Theories (eTFTs). I will start with recalling the basics of Topological Quantum Field Theories (TQFTs) and the classification theorem in 2-dimensional case. I will then give the definition of eTFT as a functor between particular bicategories, generalizing the case of ordinary TQFT. Lastly, I will informally discuss one of the classification theorems for 2-dimensional eTFTs.

algebraic topologycategory theory

Audience: researchers in the topic

Bilkent Topology Seminar

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Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos