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Instructional workshop

12th January 2009 to 23rd January 2009

Organisers: M Geck (University of Aberdeen), A Kleshchev (University of Oregon) and G Röhrle (Ruhr-Universität Bochum).

Workshop Theme

The programme "Algebraic Lie Theory" covers a wide spectrum of topics, ranging from more classical areas like the theory of Lie algebras and Lie groups (over real, complex, p-adic or finite fields), through connections with geometry, combinatorics and homological algebra (Schubert varieties, Kazhdan-Lusztig theory, categorification, ...), and on to the study of new classes of algebras like cyclotomic Hecke algebras or finite W-algebras. The 2-week instructional period provides an introduction to these topics by leading experts in the field. There will be a mixture of lectures, informal discussions and/or problem sessions, in order to ensure a close interaction between the speakers and the participants.

Speakers will include:

  • P Achar (Louisiana State University) - Derived Categories and Perverse Sheaves (5hrs of lectures)
  • C Bonnafé (Université de Franche Comté) - Introduction to Kazhdan-Lusztig Theory with unequal parameters (4hrs of lectures)
  • M Broué (Institut Henri Poincaré) - Complex reflection groups and their associated braid groups and Hecke algebras (3hrs of lectures)
  • J Chuang (City University, London) - Categorification of sl(2)-modules (3hrs of lectures)
  • M Geck (University of Aberdeen) - Hecke algebras at roots of unity (3hrs of lectures)
  • A Kleshchev (University of Oregon) - W-algebras and Hecke algebras (3hrs of lectures)
  • I Losev (MIT) - Finite W-algebras and their representations (3hrs of lectures)
  • A Ram (University of Melbourne) - Symmetry, polynomials and quantisation (4hrs of lectures)
  • R Rouquier (University of Oxford) - Higher representations of Lie algebras (5hrs of lectures)
  • D Vogan (Massachusetts Institute of Technology) - Schubert varieties and representations of real reductive groups (4hrs of lectures)
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons