skip to content

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 The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons