Skip to content. | Skip to navigation

  • 日本語
  • English
Sections
You are here: Home en KTGU Special Lecture Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems

07 - Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems, 2017

Course Image

Top Global Course Special Lectures 5

Curve Counting, Geometric Representation Theory, and Quantum Integrable Systems

Andrei Okounkov
Kyoto University / Distinguished Visiting Professor

Nov. 13, 15, 16, 20 and 21, 2017
Room127, Graduate School of Science Bldg No 3

Lecture Video

Course Description

My goal in these lectures will be to explain, focusing on the simplest example of cotangent bundles of Grassmannian, how counting rational curves is certain algebraic varieties is related to several branches of mathematics pioneered and developed here in Kyoto, especially to the quantum group analysis of integrable spin chains and to the geometric realization of quantum groups provided by the Nakajima varieties.

This connection was discovered by Nekrasov and Shatashvili and the example of the Grassmannians is really the most basic example in which the theory can be fully explained. If time permits, I will try to describe the general contours of the theory, as we see them today.