MPIM/PI teleseminar on categorified knot invariants - Zed-hat
APA
Gukov, S. (2018). MPIM/PI teleseminar on categorified knot invariants - Zed-hat. Perimeter Institute. https://pirsa.org/18050052
MLA
Gukov, Sergei. MPIM/PI teleseminar on categorified knot invariants - Zed-hat. Perimeter Institute, May. 17, 2018, https://pirsa.org/18050052
BibTex
@misc{ pirsa_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}, year = {2018}, month = {may}, note = {PIRSA:18050052 see, \url{https://pirsa.org}} }
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.