Algebraic Lie Theory

Algebraic Lie Theory's image
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.

Showing results 1-20 of 164    < Prev    1 2 3 4 5 6 7 8 9    Next >
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Media items

Arithmetic cycles on moduli spaces of abelian varieties

   1,141 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

   1,172 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?

   1,283 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

   1,238 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

   995 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

   930 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

   1,672 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

   1,078 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

   765 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

   1,146 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

   941 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

   913 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

   868 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

   1,327 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

   785 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

   1,069 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

   904 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

   1,512 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

   1,346 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

   905 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


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