Algebraic Lie Theory
| Created: | 2009-03-12 12:09 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Editors' group: | SMS Editors group for the Newton Institute |
| 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
Arithmetic cycles on moduli spaces of abelian varieties
1,209 views
Rapoport, M (Bonn)
Wednesday 13 May 2009, 15:15-16:15
Collection: LMS - Spitalfields Series
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Apr 2011
L-functions and arithmetic
1,250 views
Coates, J (Cambridge)
Wednesday 13 May 2009, 11:00-12:00
Collection: LMS - Spitalfields Series
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Apr 2011
What is an algebraic automorphic form?
1,365 views
Buzzard, K (Imperial College London)
Wednesday 13 May 2009, 13:45-14:45
Collection: LMS - Spitalfields Series
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Apr 2011
Affine Gelfand-Tsetlin bases and affine Laumon spaces
1,319 views
Finkelberg, M (State, Moscow)
Thursday 26 March 2009, 10:00-11:00
A seminar from the Algebraic Lie Structures with Origins in Physics Workshop
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 24 May 2011
Affine W-algebras and Zhu's Poisson varieties associated with Kac-Moody vertex algebras
1,058 views
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
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 23 May 2011
Algebraic group analogues of the Slodowy slices and deformed Poisson W-algebras
998 views
Sevastyanov, A (Aberdeen)
Tuesday 24 March 2009, 14:00-15:00
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
Algeraic Lie Theory through the Symmetric Group
1,759 views
Professor Iain Gordon (Edinburgh)
Annual Meeting of Correspondents
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 24 Jun 2009
An action of SL(2,Z) on the space of Dirichlet series, and some associated computations
1,137 views
Thompson, JG (Cambridge and Florida)
Friday 29 May 2009, 11:00-12:00
Group Theory, Geometry and Representation Theory: Abel Prize 2008
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Apr 2011
An algebraic slice in the coadjoint action of the Borel
839 views
Joseph, A (Weizmann Institute)
Thursday 21 May 2009, 15:15-16:15
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 27 May 2011
An explicit construction of the complex of variational calculus and Lie conformal algebra cohomology
1,254 views
Kac, V (MIT)
Thursday 26 March 2009, 15:30-16:30
A seminar from the Algebraic Lie Structures with Origins in Physics Workshop
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 24 May 2011
Atypicality, complexity and module varieties for classical Lie superalgebras
1,009 views
Nakano, D (Georgia)
Tuesday 23 June 2009, 14:00-15:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 1 Jun 2011
Blocks and decomposition numbers for the Brauer algebra
989 views
Cox, A (City University, London)
Tuesday 27 January 2009, 15:00-16:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 20 May 2011
Blocks of the general linear supergroup
931 views
Brundan, J (Oregon)
Monday 22 June 2009, 10:00-11:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 31 May 2011
Braid groups and representations of symmetric groups
1,399 views
Rouquier, R (Oxford)
Wednesday 27 May 2009, 17:00-18:00
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
Brauer height zero conjecture for 2-blocks of maximal defect
849 views
Tiep, PH (Arizona)
Friday 29 May 2009, 09:30-10:30
Group Theory, Geometry and Representation Theory: Abel Prize 2008
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 20 Apr 2011
Canonical bases and KLR-algebras
1,144 views
Vasserot, E (Université Paris 7 - Denis-Diderot)
Thursday 25 June 2009, 11:30-12:30
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 1 Jun 2011
Carter-Payne homomorphisms for Hecke algebras
974 views
Mathas, A (Sydney)
Tuesday 16 June 2009, 15:15-16:15
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 24 Jun 2009
Categorification and finite dimensional modules of DAHA
1,613 views
Vasserot, E (Université Paris 7 - Denis-Diderot)
Friday 16 September 2011, 10:00-11:00
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Mon 19 Sep 2011
Categorification of sl(2)-modules 1
1,434 views
Chuang, J (London)
Monday 12 January 2009, 14:00-15:00
A seminar from the Algebraic Lie Theory Instructional Workshop
Collection: Algebraic Lie Theory
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 18 May 2011
Categorification of sl(2)-modules 2
997 views
Chuang, J (London)
Thursday 15 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