Algebraic Lie Theory
| Created: | 2009-03-12 12:09 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Description: | 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/ |
Media items
This collection contains 164 media items.
Media items
Categorification of sl(2)-modules 3
Chuang, J (London)
Friday 16 January 2009, 11:30-12:30
A seminar from the Algebraic Lie Theory Instructional Workshop.
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 19 May 2011
Categorification, canonical bases and knot invariants
Webster, B (Oregon)
Monday 12 September 2011, 15:30-16:30
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 19 Sep 2011
CFSG and group theory
Segal, D (Oxford)
Wednesday 27 May 2009, 14:00-15:00
Group Theory, Geometry and Representation Theory: Abel Prize 2008
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 27 May 2011
Cherednik algebra, Calogero-Moser space and Bethe ansatz
Mukhin, E (IUPUI)
Wednesday 25 March 2009, 11:30-12:30
A seminar from the Algebraic Lie Structures with Origins in Physics Workshop
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 23 May 2011
Chiral differential operators on flag manifolds and Kac-Moody algebras at the critical level
Arakawa, T (Nara Women's University)
Thursday 18 June 2009, 15:00-16:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 2 Jul 2009
Cluster algebras via quivers with potentials
Zelevinsky, A (Northeastern University)
Thursday 14 May 2009, 15:15-16:15
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 26 May 2011
Cohomology of the minimal nilpotent orbit
Juteau, D (CNRS)
Tuesday 28 April 2009, 14:00-15:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 25 May 2011
Combinatorics of Kazhdan-Lusztig cells
Iancu, L (Aberdeen)
Thursday 12 February 2009, 15:00-16:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 20 May 2011
Compactification of Deligne-Lusztig varieties
Bonnafe, C (Franche-Comté)
Friday 26 June 2009, 14:00-15:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 2 Jun 2011
Complete reducibility and rationality
Martin, B (Canterbury)
Thursday 05 February 2009, 15:00-16:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 20 May 2011
Complex reflection groups and their associated braid groups and Hecke algebras 1
Broué, M (Paris)
Monday 19 January 2009, 09:00-10:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 19 May 2011
Complex reflection groups and their associated braid groups and Hecke algebras 2
Broué, M (Paris)
Tuesday 20 January 2009, 09:00-10:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 19 May 2011
Complex reflection groups and their associated braid groups and Hecke algebras 3
Broué, M (Paris)
Wednesday 21 January 2009, 09:00-10:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 19 May 2011
Conformal field theory and Cherednik algebras
Suzuki, T (Okayama)
Tuesday 24 March 2009, 15:30-16:30
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 23 May 2011
Convolution algebras: an explicit construction
Stroppel, C (Bonn)
Tuesday 03 March 2009, 14:00-15:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 20 May 2011
Crystal structure for representations of Cherednik algebras
Gordon, IG (Edinburgh)
Monday 23 March 2009, 10:00-11:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 23 May 2011
Decomposition matrices and parametrisations of simple modules for Hecke algebras
Jacon, N (Université de Franche-Comté)
Tuesday 07 April 2009, 15:00-16:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 25 May 2011
Deligne-Lusztig varieties and cyclotomic Hecke algebras
Michel, J (Paris 7)
Tuesday 31 March 2009, 15:00-16:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 25 May 2011
Deligne-Lusztig varieties, Braid groups and cyclotomic Hecke algebras
Broué, M (Institut Henri Poincaré )
Friday 26 June 2009, 15:30-16:30
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 2 Jun 2011
Density of character degrees
Liebeck, M (Imperial College)
Thursday 28 May 2009, 14:00-15:00
Group Theory, Geometry and Representation Theory: Abel Prize 2008
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 31 May 2011
