Title: Irregular KZ-equations from Liouville Conformal Blocks
Speaker: Babak Haghighat
Affiliation:Yau Mathematical Science Center, Tsinghua University (清华大学丘成桐数学科学中心)
Time: 16:00-17:00, Friday, 6th December, 2024 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Qiang Wen (文强)
Abstract：
We consider Liouville conformal blocks with degenerate field insertions and one operator in an irregular representation of the Virasoro algebra. Such blocks satisfy modified BPZ equations and admit integral representations with integration over non-compact Lefschetz cycles. We show how they satisfy an irregular version of KZ equations from which the modified BPZ equations follow. Finally, we argue that our irregular KZ equations follow from irregular Kac-Moody representations.
Bio:
Prof. Babak Haghighat is currently a faculty member in the String Theory Group of Yau Mathematical Science Center, Tsinghua University.
Babak Haghighat's Personal Page:
https://ymsc-strings.github.io/people/babak.html
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc