[geometry-ml:06936] 数理解析研究所セミナーのお知らせ(7/13)

[Noriaki Ikeda]

下記の通り，7月13日（月）10:30から京都大学数研セミナーが以下のようにおこなわれますのでお知らせいたします。

日時: 7月13日（月） 10:30～11:30
会場: 京都大学数理解析研究所206号室

Speaker: Simon Lentner (OIST, Okinawa Institute for Science and Technology)

Title: Nichols algebras, braided tensor categories and conformal field 
theory

Abstract: To any object in a braided tensor category we can associate a 
Nichols algebra, either through braid group combinatorics or through a 
universal property. The main motivation for Nichols algebras is to 
systematically construct the quantum group from its Cartan part. This 
idea goes back to Lusztig, but I will present it in modern categorical 
language. Then I will sketch how Nichols algebras can be used to 
construct solutions of the Knishnik Zomolochikov differential equation 
from its respective abelian version, and to construct a conformal field 
theory associated to the (small) quantum group from a free field theory. 
This parallelism is a main ingredient in our recent proof of the 
logarithmic Kazhdan Lusztig correspondence, which is the nonsemisimple 
small-quantum-group-analog of the more familiar Kazhdan Lusztig 
correspondence, and our current work on the affine Lie algebra sl2 at 
admissible level.

https://www.kurims.kyoto-u.ac.jp/en/seminar/seminar-ikeda.html

池田憲明
京都大学数理解析研究所、立命館大学