Algebraic Lie Theory and Representation Theory

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Algebraic Lie Theory and Representation Theory

 01 - 05 Sep 2014

ICMS, 15 South College Street Edinburgh

  • Simon Goodwin, University of Birmingham
  • Jonathan Kujawa, University of Oklahoma
  • Arun Ram, University of Melbourne
  • Alistair Savage, University of Ottawa
  • Michela Varagnolo, Université de Cergy-Pontoise

About:

Recent years have seen exciting and ground-breaking developments in Lie theory. This workshop focused on the categorification of Lie theoretic algebras and their representations and other geometric constructions. Lastly, it focused on the quiver Hecke algebras by Khovanov-Lauda and Rouquierfinite W- (super) algebras and rational Cherednik algebras.

Speakers

  • Vera Serganov  UC Berkeley - A Symmetric Tensor Category Related to Representation Theory of General Linear Superalgebras

  • Martina Lanini, University of Erlangen - Periodic Patterns in the Representation Theory of Affine Kac-Mood Algebras

  • Milen Yakimov, Louisiana State University - Double Bruhat Cells, Clusters and Green Sequences 

  • Chris Bowman, City University - The Representation Theory of Partition Algebras

  • Tomoyuki Arakawa, Kyoto University - Minimal Models of W-Algebras 

  • Simon Wadsley, University of Cambridge - D-Modules on Rigid Analytic Spaces, I 

  • Daniele Rosso, University of Ottawa - Twisted Heisenberg Doubles

  • Catharina Stroppel, University of Bonn - Tensor Product Categorifications 

  • Alexander Ellis, University of Oregon - Odd Categorification of Quantum sl(2)

  • Volodymir Mazorchuk, Uppsala University - Finitary 2-Representations of Finitary 2-Categories 

  • Peter Mcnamara, University of Sydney - KLR Algebras and PBW Bases 

  • David Hill, University of Virginia - Braid Group Actions on Quantum Kac-Moody Superalgebras 

  • Matthew Fayers, Queen Mary University - Blocks and Decomposition Numbers for Cyclotomic Hecke Algebras 

  • Sachin Gautam, Columbia University - Yangians, Quantum Loop Algebras and Elliptic Quantum Groups

  • Martina Balagovic, Newcastle University - Quantum Symmetric Pairs, the Bar Involution and Solutions of the Reflection Equation

  • Lilit Martirosyan, University of California - The Representation Theory of the Exceptional Lie Superalgebras F(4) and G(3)

  • Weiqiang Wang, University of Virginia - Canonical Bases Arising From Quantum Symmetric Pairs and Applications

  • Dimitar Grantcharov, University of Texas - Singular Gelfand-Tsetlin Modules of gl(n)

  • Peng Shan, CNRS - On the Center of Quiver Hecke Algebras

  • Gwyn Bellamy, University of Glasgow - Motivic Invariants of Calogero-Moser Spaces 

  • Zajj Daugherty, Dartmouth College - Central Elements as Parameters for Centraliser Algebras

  • Michael Ehrig, University of Cologne - Categorified Skew Howe duality and Coideal Subalgebras

  • Wolfgang Soergel, Universitäet Freiburg - Motivic Realisation of Graded Representation Categories