Home /  Advances in Lie Theory, Representation Theory, and Combinatorics: Inspired by the work of Georgia M. Benkart

Workshop

Advances in Lie Theory, Representation Theory, and Combinatorics: Inspired by the work of Georgia M. Benkart May 01, 2024 - May 03, 2024
Registration Deadline: May 03, 2024 2 months ago
To apply for Funding you must register by: February 12, 2024 5 months ago
Parent Program: --
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Ellen Kirkman (Wake Forest University), Gail Letzter (Retired ), Daniel Nakano (University of Georgia), Arun Ram (University of Melbourne)
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This workshop will have a view to the future of a broad spectrum of topics including structure and classification of finite dimensional Lie algebras and superalgebras in characteristic p structure of infinite dimensional Lie algebras and their representations deformation theory of algebras, double constructions and elemental Lie algebras diagram algebras and combinatorial representation theory algebraic combinatorics of groups of Lie type:characters, Schur-Weyl duality, Bratteli diagrams, and McKay correspondences quantum groups and crystal bases, particularly for superalgebras and affine algebras examples of fusion categories arising from representations of Drinfeld doubles and other algebras cohomology for finite tensor categories with applications to its underlying geometry This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community. Download a PDF flyer to share with your network Bibliography Workshop Sponsors MSRI, now becoming the Simons Laufer Mathematical Sciences Institute, has been supported from its origins by the National Science Foundation, joined by the National Security Agency, over 100 Academic Sponsor departments, private foundations, and by generous and farsighted individuals. This workshop receives additional support from the American Mathematical Society and the Association for Women in Mathematics.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • key words Lie algebras

  • Representation theory

  • combinatorics

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Schedule, Notes/Handouts & Videos
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May 01, 2024
Wednesday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Gradings by root systems and S-structures on Lie algebras
Alberto Elduque (University of Zaragoza)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Bethe subalgebras of the Yangian Y(gl(n)), Gelfand-Tsetlin patterns, and the cactus group
Iva Halacheva (Northeastern University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Macdonald polynomials: Why do we care about them?
Laura Colmenarejo (North Carolina State University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Irreducible representations of Khovanov-Lauda-Rouquier algebras
Monica Vazirani (University of California, Davis)
May 02, 2024
Thursday
09:30 AM - 10:30 AM
  Twisted tensor products
Anne Shepler (University of North Texas)
10:30 AM - 10:35 AM
  Group Photo
10:35 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Representations induced from large subalgebras of a Lie algebra of differential operators
Matt Ondrus (Weber State University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Braids, Nichols algebras, and cohomology
Sarah Witherspoon (Texas A & M University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Crystal bases for reduced Imaginary Verma Modules of untwisted Quantum affine algebras
Kailash Misra (North Carolina State University)
05:15 PM - 05:15 PM
  Charter Bus departs SLMath for Restaurant
05:45 PM - 09:00 PM
  Banquet in honor of Georgia M. Benkart
09:00 PM - 09:00 PM
  Charter Bus departs Restaurant for Hearst Mining Circle
May 03, 2024
Friday
09:30 AM - 10:30 AM
  Bitableaux, Crystals, and Kronecker Coefficients
Nate Harman (University of Chicago)
10:30 AM - 11:00 AM
  Break
11:00 AM - 12:00 PM
  Great Permutations
Tom Halverson (Macalester College)