You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Kursat Sozer (McMaster University)<\/p>\n
\u201cSurvey of 3-Dimensional TQFTs and Quantum Invariants of 3-Manifolds \u201d<\/p>\n
Abstract: In this talk, I will give a gentle overview of 3-dimensional topological quantum field theories (TQFTs) and the corresponding quantum invariants of closed 3-manifolds. After briefly recalling essential algebraic notions such as pivotal, fusion, and modular categories, I will describe the two main constructions of 3-dimensional TQFTs: the surgery approach (Witten\u2013Reshetikhin\u2013Turaev invariants) and the state-sum approach (Turaev\u2013Viro\u2013Barrett\u2013Westbury invariants). I will then summarize the key comparison result involving the categorical center construction, illustrating how these two approaches yield isomorphic TQFTs. If time permits, I will close by briefly mentioning extensions to homotopy quantum field theories (HQFTs) and highlight some recent developments in this direction.<\/p>\n
Date: May 5, Monday, 2025
\nTime: 13:30 UTC+3
\nPlace: ZOOM<\/p>\n
To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Kursat Sozer (McMaster University) \u201cSurvey of 3-Dimensional TQFTs and Quantum Invariants of 3-Manifolds \u201d Abstract: In this talk, I will give a gentle overview of 3-dimensional topological quantum field theories (TQFTs) and the corresponding quantum [\u2026] <\/p>\n