Parabolic Kazhdan-Lusztig polynomials and representation theory
Seminar
Speaker
Erez Lapid (Weizmann Institute)
Date
12/11/2017 - 15:30 - 14:00Add to Calendar
2017-11-12 14:00:00
2017-11-12 15:30:00
Parabolic Kazhdan-Lusztig polynomials and representation theory
The famous Kazhdan-Lusztig conjectures, formulated in the late 1970s and proved soon after independently by Beilinson-Bernstein and Brylinski-Kashiwara,
underscore a deep relationship between representation theory, combinatorics and geometry.
Recent progress in representation theory of the general linear group over p-adic fields led us to speculate a relationship between particular cases of parabolic Kazhdan-Lusztig polynomials
(which are certain alternating sums of ordinary ones) and ordinary ones. I will discuss what is known theoretically and some empirical results.
No prior familiarity with these concepts will be assumed.
Based on joint work with Alberto Minguez.
room 201, Bldg 216 - Math and CS Building
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
room 201, Bldg 216 - Math and CS Building
Abstract
The famous Kazhdan-Lusztig conjectures, formulated in the late 1970s and proved soon after independently by Beilinson-Bernstein and Brylinski-Kashiwara,
underscore a deep relationship between representation theory, combinatorics and geometry.
Recent progress in representation theory of the general linear group over p-adic fields led us to speculate a relationship between particular cases of parabolic Kazhdan-Lusztig polynomials
(which are certain alternating sums of ordinary ones) and ordinary ones. I will discuss what is known theoretically and some empirical results.
No prior familiarity with these concepts will be assumed.
Based on joint work with Alberto Minguez.
Last Updated Date : 26/11/2019
