# Algebraic Lie Theory

Created: | 2009-03-12 12:09 |
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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

#### Arithmetic cycles on moduli spaces of abelian varieties

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

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?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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