PIRSA:17110068

Quantum K-theory of quiver varieties and quantum integrable systems

Pushkar, P. (2017). Quantum K-theory of quiver varieties and quantum integrable systems. Perimeter Institute. https://pirsa.org/17110068

Pushkar, Petr. Quantum K-theory of quiver varieties and quantum integrable systems. Perimeter Institute, Nov. 06, 2017, https://pirsa.org/17110068 

          @misc{ pirsa_PIRSA:17110068,
            doi = {10.48660/17110068},
            url = {https://pirsa.org/17110068},
            author = {Pushkar, Petr},
            keywords = {Mathematical physics},
            language = {en},
            title = {Quantum K-theory of quiver varieties and quantum integrable systems},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {nov},
            note = {PIRSA:17110068 see, \url{https://pirsa.org}}
          }

Petr Pushkar

ACMetric

Talk number
PIRSA:17110068
Collection
Talk Type
Subject
Abstract

In this talk I will define the quantum K-theory of Nakajima quiver varieties and show its connection to representation theory of quantum groups and quantum integrable systems on the examples of the Grassmannian and the flag variety. In particular, the Baxter operator will be identified with operators of quantum multiplication by quantum tautological classes via Bethe equations. Quantum tautological classes will also be constructed and, time permitting, an explicit universal combinatorial formula for them will be shown.
Based on joint works with P.Koroteev, A.Smirnov and A.Zeitlin