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Workshop

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018
Registration Deadline: May 24, 2018 about 6 years ago
To apply for Funding you must register by: January 09, 2018 over 6 years ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Robert Guralnick (University of Southern California), Alexander Kleshchev (University of Oregon), Gunter Malle (Universität Kaiserslautern), Gabriel Navarro (University of Valencia), LEAD Pham Tiep (Rutgers University)
Speaker(s)

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Description
The workshop will bring together key researchers working in various areas of Group Representation Theory to strengthen the interaction and collaboration between them and to make further progress on a number of basic problems and conjectures in the field. Topics of the workshop include -- Global-local conjectures in the representation theory of finite groups -- Representations and cohomology of simple, algebraic and finite groups -- Connections to Lie theory and categorification, and -- Applications to group theory, number theory, algebraic geometry, and combinatorics.
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Apr 09, 2018
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  A tale of two modules
Geordie Williamson (University of Sydney)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  On Picard groups  of  blocks of finite group algebras
Radha Kessar (City University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Overgroups of regular unipotent elements, finite and algebraic
Donna Testerman (École Polytechnique Fédérale de Lausanne (EPFL))
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Characters and Sylow 2-subgroups of maximal class
Benjamin Sambale (Universität Kaiserslautern)
Apr 10, 2018
Tuesday
09:30 AM - 10:30 AM
  Applications of representation theory to statistical problems
Persi Diaconis (Stanford University)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Character ratios for finite groups of Lie type
Martin Liebeck (Imperial College, London)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Character methods and probabilistic methods in groups
Aner Shalev (The Hebrew University of Jerusalem)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Fock space categorification, Soergel bimodules, and modular representation representation theory in type A
Ben Elias (University of Oregon)
04:30 PM - 06:20 PM
  Reception
Apr 11, 2018
Wednesday
09:30 AM - 10:30 AM
  Lie superalgebras and 2-representation theory
Jonathan Brundan (University of Oregon)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Parallelotope tilings for symmetric groups
Joseph Chuang (City University)
Apr 12, 2018
Thursday
09:30 AM - 10:30 AM
  Finite groups of Lie type and (q,t)-polynomials
Raphael Rouquier (University of California, Los Angeles)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Deligne—Lusztig induction and almost characters
Jay Taylor (University of Manchester)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The McKay conjecture and Galois action on characters
Carolina Vallejo Rodríguez (Università di Firenze)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Fourier matrices for unipotent characters
Olivier Dudas (Université de Paris VII (Denis Diderot))
Apr 13, 2018
Friday
09:30 AM - 10:30 AM
  The Loewy structure of certain fixed point algebras
Burkhard Kuelshammer (Friedrich-Schiller-Universität)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  More counting for the counting conjectures
Britta Späth (Bergische Universität-Gesamthochschule Wuppertal (BUGH))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On equivariant cohomology of Calogero-Moser spaces
Peng Shan (Tsinghua University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  A Drinfeld center approach to character sheaves
Roman Bezrukavnikov (Massachusetts Institute of Technology)