PIRSA:18050052

Video URL

https://pirsa.org/18050052

MPIM/PI teleseminar on categorified knot invariants - Zed-hat

Gukov, S. (2018). MPIM/PI teleseminar on categorified knot invariants - Zed-hat. Perimeter Institute for Theoretical Physics. https://pirsa.org/18050052

Gukov, Sergei. MPIM/PI teleseminar on categorified knot invariants - Zed-hat. Perimeter Institute for Theoretical Physics, May. 17, 2018, https://pirsa.org/18050052 

          @misc{ scivideos_PIRSA:18050052,
            doi = {10.48660/18050052},
            url = {https://pirsa.org/18050052},
            author = {Gukov, Sergei},
            keywords = {Mathematical physics},
            language = {en},
            title = {MPIM/PI teleseminar on categorified knot invariants - Zed-hat},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2018},
            month = {may},
            note = {PIRSA:18050052 see, \url{https://scivideos.org/index.php/pirsa/18050052}}
          }

Sergei Gukov California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy

Talk numberPIRSA:18050052
DOI10.48660/18050052
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, intended for a broader audience, I promise to use techniques only at the level of university calculus. While staying at this level, our goal will be to learn conceptual lessons for categorification of quantum group invariants of knots and 3-manifolds, also known as the Witten-Reshetikhin-Turaev (or WRT) invariants. In particular, we will introduce new q-series invariants of 3-manifolds that have integer powers and integer coefficients and, if time permits, discuss their various constructions and properties. The talk is based on several papers with D. Pei and/or P. Putrov, C. Vafa, as well as ongoing work with C. Manolescu.