Algebraic Lie Theory: Recent Episodes

Cambridge University

Lie theory has profound connections to many areas of pure and applied mathematics and mathematical physics. In the 1950s, the original "analytic" theory was extended so that it also makes sense over arbitrary algebraically closed fields, in particular, fields of positive characteristic. Understanding fundamental objects such as Lie algebras, quantum groups, reductive groups over finite or p-adic fields and Hecke algebras of various kinds, as well as their representation theory, are the central themes of "Algebraic Lie Theory".

A driving force has always been the abundance of challenging, yet very basic problems, like finding explicit character formulae for representations. The introduction of geometric methods (in the 1970s) has revolutionized the field. It led to a flow of new ideas between several disciplines, and produced spectacular advances. The ideas of "geometrization" and "categorification" now play a fundamental role in the development of the subject. New structures continue to arise from connections with other areas of mathematics and mathematical physics, like the emerging theory of W-algebras.

Read more at: www.newton.ac.uk/programmes/ALT/

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Fiebig, P (Universität Erlangen-Nürnberg) Thursday 15 September 2011, 14:00-15:00

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Goodwin, S (Birmingham) Thursday 15 September 2011, 09:00-10:00

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Opdam, E (Amsterdam) Wednesday 14 September 2011, 09:00-10:00

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Erdmann, K (Oxford) Tuesday 13 September 2011, 15:30-16:30

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Vasserot, E (Université Paris 7 - Denis-Diderot) Thursday 25 June 2009, 11:30-12:30

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Lehrer, GI (Sydney) Thursday 25 June 2009, 10:00-11:00

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Premet, A (Manchester) Thursday 25 June 2009, 09:00-10:00

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Juteau, D (CNRS) Wednesday 24 June 2009, 11:30-12:30

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Opdam, EM (Amsterdam) Monday 22 June 2009, 11:30-12:30

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Guralnick, R (Southern California) Thursday 28 May 2009, 17:00-18:00 Group Theory, Geometry and Representation Theory: Abel Prize 2008

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Liebeck, M (Imperial College) Thursday 28 May 2009, 14:00-15:00 Group Theory, Geometry and Representation Theory: Abel Prize 2008

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Malle, G (Kaiserslautern) Thursday 28 May 2009, 11:00-12:00 Group Theory, Geometry and Representation Theory: Abel Prize 2008

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Lafforgue, L (IHES) Tuesday 26 May 2009, 10:00-12:00

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Joseph, A (Weizmann Institute) Thursday 21 May 2009, 15:15-16:15

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Stevens, S (East Anglia) Thursday 21 May 2009, 14:00-15:00

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Procesi, C (Rome) Tuesday 19 May 2009, 16:30-17:30

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Kac, V (MIT) Thursday 26 March 2009, 15:30-16:30 A seminar from the Algebraic Lie Structures with Origins in Physics Workshop

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Joseph, A (Weizmann) Thursday 26 March 2009, 11:30-12:30

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Finkelberg, M (State, Moscow) Thursday 26 March 2009, 10:00-11:00 A seminar from the Algebraic Lie Structures with Origins in Physics Workshop

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Mukhin, E (IUPUI) Wednesday 25 March 2009, 11:30-12:30 A seminar from the Algebraic Lie Structures with Origins in Physics Workshop

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Khoroshkin, S (ITEP, Moscow) Wednesday 25 March 2009, 10:00-11:00

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Losev, I (MIT) Wednesday 25 March 2009, 09:00-10:00

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Sevastyanov, A (Aberdeen) Tuesday 24 March 2009, 14:00-15:00 A seminar from the Algebraic Lie Structures with Origins in Physics Workshop

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Stafford, JT (Manchester) Tuesday 24 March 2009, 11:30-12:30

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Ragoucy, E (LAPTH (CNRS)) Monday 23 March 2009, 16:30-17:30

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Arakawa, T (Nara Women's University) Monday 23 March 2009, 15:30-16:30 A seminar from the Algebraic Lie Structures with Origins in Physics Workshop

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Kleshchev, A (Oregon) Friday 16 January 2009, 14:00-15:00

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Chuang, J (London) Friday 16 January 2009, 11:30-12:30 A seminar from the Algebraic Lie Theory Instructional Workshop.

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Ram, A (Melbourne) Friday 16 January 2009, 09:00-10:00

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Chuang, J (London) Thursday 15 January 2009, 11:30-12:30 A seminar from the Algebraic Lie Theory Instructional Workshop.

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Achar, P (Louisiana) Thursday 15 January 2009, 10:00-11:00

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Ram, A (Melbourne) Thursday 15 January 2009, 09:00-10:00

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Achar, P (Louisiana) Tuesday 13 January 2009, 10:00-11:00

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Ram, A (Melbourne) Tuesday 13 January 2009, 09:00-10:00

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Chuang, J (London) Monday 12 January 2009, 14:00-15:00 A seminar from the Algebraic Lie Theory Instructional Workshop

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Professor Iain Gordon (Edinburgh) Annual Meeting of Correspondents

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