PIRSA:26020030

Quantum Group from Fukaya Category

Zhou, P. (2026). Quantum Group from Fukaya Category. Perimeter Institute. https://pirsa.org/26020030

Zhou, Peng. Quantum Group from Fukaya Category. Perimeter Institute, Feb. 20, 2026, https://pirsa.org/26020030 

          @misc{ pirsa_PIRSA:26020030,
            doi = {10.48660/26020030},
            url = {https://pirsa.org/26020030},
            author = {Zhou, Peng},
            keywords = {Mathematical physics},
            language = {en},
            title = {Quantum Group from Fukaya Category},
            publisher = {Perimeter Institute},
            year = {2026},
            month = {feb},
            note = {PIRSA:26020030 see, \url{https://pirsa.org}}
          }

Peng Zhou University of California, Berkeley

Talk numberPIRSA:26020030
DOI10.48660/26020030
Collection
Talk Type Scientific Series
Subject

Abstract

Quantum group and its application to knot polynomial was the theme of Witten-Reshtikhin-Turaev theory. The categorfication of quantum group and application to knot homology has been discovered and developed by Khovanov-Lauda, Rouquier, and Webster, in the form of KLRW algebra. With Mina Aganagic and collaborators, we developed a new approach using Fukaya category and relate to KLRW algebra. The geometric origin allows us to give a geometric construction for the categorified coproduct. The talk is based on past work and work in progress with Mina Aganagic, Vivek Shende, Elise LePage, Ivan Danilenko and Yixuan Li.