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Masterclass March 2013

Soergel bimodules and Kazhdan-Lusztig conjectures by Williamson and Elias

2012.10.01 | Christine Dilling

Date Mon 18 Mar Fri 22 Mar
Time 04:30    16:00
Location Aud G1 (1532-116), Ny Munkegade 118, 8000 Aarhus C

Registration: Registrations for this event is closed. Please contact qgm@au.dk if you have any questions.

Program

Speakers

Geordie Williamson (MPI Bonn) and Benjamin Elias (MIT Boston)

Poster PDF

Abstract

This will be a course about Coxeter groups, their Hecke algebras, Kazhdan-Lusztig polynomials and Soergel bimodules. It will culminate in an algebraic proof of the Kazhdan-Lusztig conjecture (a character
formula for highest weight modules over a complex semi-simple Lie algebra, which up until recently had difficult geometric proofs) and a proof of the positivity of Kazhdan-Lusztig polynomials (a conjecture which has been open for over thirty years). Along the way ideas from categorification, higher algebra and Hodge theory play an essential role.

Preliminary schedule
10:00 - 10:45 Lecture
11:15 - 12:00 Lecture
12:00 - 14:00 Lunch
14:00 - 14:45 Lecture
15:15 - 16:00 Lecture

Social programme

  • Monday 18/3 at 6pm: Social networking dinner. Free of charge.
  • Thursday 21/3 at 6pm: Special dinner at a Restaurant in town. You must be signed up for this.

Included in the event

  • Morning and afternoon coffee/tea
  • Lunches on weekdays
  • Social dinner 'first night'
  • Special dinner 'last night'

In special cases, QGM is able to offer limited financial support to junior researchers (PhD students and postdocs). Only applications received before 11 February 2013 will be considered for financial support.

The list will be regularly updated:

Participants

Abolfazlian, Kian (AU)
Andersen, Henning Haahr (AU)
Andersen, Troels Bak (AU)
Arkhipov, Sergey (AU)
Bischof, Bryan (Kansas State University)
Brown, Keith (UEA)
Chris Campbell (University of Edinburgh)
Cui, Weideng (The Academy of Mathematics and Systems Science)
De Martino, Marcelo (Universiteit van Amsterdam)
Egsgaard, Jens Kristian 
Elias, Ben (Boston) - SPEAKER
Feng, YONGQI (KdVI, Universiteit van Amsterdam) 
Gobet, Thomas (University of Picardy, Amiens)
Guo, Qiong (University of Stuttgart)  
Hu, Xiaoli (University Stuttgart)  
Huang, Qian (University of Chinese Academy of Sciences)
Jensen, Lars Thorge (University of Bonn)
Juteau, Daniel (CNRS) 
Kanstrup, Tina (AU)
Kravets, Oleksandr (University 'Higher School of Economics', Moscow)
Lauritzen, Niels (AU)
Hasselstrøm, Dennis (AU)
McNamara, Peter (Stanford University) 
Marberg, Eric (MIT/USA)
Maksimau, Ruslan (Université Paris Diderot)
Matherne, Jacob (Louisiana State University)
Melvin, George (UC Berkeley)
Meinel, Joanna (Max-Planck-Institute for Mathematics, Bonn) 

Miemietz, Vanessa (University of East Anglia)
Mygind, Martin (IMF, Denmark)
Nguyen Tien, Dung (University of Stuttgart, Germany)
Nandakumar, Vinoth (MIT)     
Nie, Sian (I.H.E.S) 
Penner, Robert C. (AU/Caltech)
Rottmaier, Michael (University Freiburg)
Sauerwein, Marc (University of Bonn)
Senapathi, Eswara Rao (Tata Institute of Fundamental Research)
Shende, Vivek (MIT)
Straser, Oliver (University of Freiburg)
Thiel, Anne-laure (Uppsala University)
Torres, Perez Gavilan Jacinta (Universität zu Köln)
Vilcarromero, Richard Paul Gonzales (IHES)
Walker, Ruari (UEA)
Weidner, Jan (University Freiburg)
Williamson, Geordie (Bonn) - SPEAKER
White, Noah (University of Edinburgh)
Xie, Xun (Chinese Academy of Sciences)
Xu, Jon (University of Melbourne and University of Western Australia)
Zhou, Peipei (University of Chinese Academy of Sciences)

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Revised 2016.05.24