Top Global Course Special Lectures by Prof. Andrei Okounkov

Top Global Course Special Lectures by Prof. Andrei Okounkov (Kyoto University / Columbia University) will take place as follows:

Course Title
Top Global Course Special Lectures 5
Date & Time
November 13 to 21, 2017 (5 lectures)
  • Monday, November 13, 16:30-18:30
  • Wednesday, November 15, 14:45-16:45
  • Thursday, November 16, 14:45-16:45
  • Monday, November 20, 16:30-18:30
  • Tuesday, November 21, 14:45-16:45
127 Conference room, Faculty of Science Bldg. #3, Kyoto University
Curve Counting, Geometric Representation Theory,and Quantum Integrable Systems
My goal in these lectures will be to explain, focusing on the simplest example of cotangent bundles of Grassmannian, how counting rational curves in 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.
This series of lectures will be video-recorded and made available online.
Please note that anyone in the front rows of the room can be captured by a video camera.