12 January to 23 January 2009

Isaac Newton Institute for Mathematical Sciences, Cambridge, UK

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

in association with the Newton Institute programme Algebraic Lie Theory (12 January to 26 June 2009)

Programme | Participants | Application | Accommodation and Cost

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.

- 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)

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