CLOWN
City Leicester Oxford Warwick Network

Organisers: Steffen König (Leicester), Karin Erdmann (Oxford), Dmitriy Rumynin (Warwick),
Anne Henke (Leicester), Paul Martin (City).

CLOWN, the City Leicester Oxford Warwick network continues the LOW Study Group in Algebraic Lie Theory. It is funded as part of the Leverhulme-funded academic interchange network on algebras, representations and applications. Meetings under the CLOWN-scheme will happen a few times a year in form of one-day or two-day meetings. The aim is to introduce PhD students and young researchers to recent developments in representation theory and to provide a platform for young people. Everyone is welcome to attend.

Meetings:




The LOW Study Group in Algebraic Lie Theory

Organisers: Steffen König (Leicester), Karin Erdmann(Oxford), Dmitriy Rumynin (Warwick),
Anne Henke (Leicester), Paul Martin (City).

The Leicester Oxford Warwick study group meets about four days a year. The aim is to introduce PhD students and young researchers to recent developments in representation theory. Groups of participants work through relevant literature and then give lectures on this material during the meetings of the study group. LOW is supported by a London Mathematical Society Scheme 3 grant. All are welcome to attend and to participate in the meetings.


Quantum Linear Groups and Representations of GL_n(F_q) (2002/2003)

Contact Person: Anne Henke (Leicester).

Meetings: 8./9.January 03 in Oxford.

The topic of this year's study group is Quantum Linear Groups and Representations of GL_n(F_q). Our aim is to further compare the topological point of view and the results by Friedlander and Suslin with the state of knowledge in representation theory. We will learn in more detail about the situation in non-defining characteristic by reading through the recent AMS memoir (No 706) by Brundan, Dipper and Kleshchev and related literature. Simultaneously, we will compare with the situation in describing characteristic (and with Friedlander-Suslin).

Polynomial Functors and Schur Algebras (2001/2002)

Contact Person: Anne Henke (Oxford).

Meetings:
first meeting 30.November 01 in Warwick,
second meeting 23.January 02 in Oxford,
third meeting 26.April 02 in Leicester,
fourth meeting 17.June 02 in Oxford.

The chosen topic of the study group for this year is Polynomial functors and Schur algebras. This relates representation theory (in particular, generic representation theory) of general linear groups (both over finite and over infinite fields) with group cohomology, with K-theory (in particular, topological Hochschild cohomology) and with objects of interest in topology, such as unstable modules over the Steenrod algebra. In the last few years, spectacular new results have been achieved, for example the stability and comparison theorems in the work of Friedlander and Suslin and their coauthors, and various cohomology groups have been fully determined (as trigraded Hopf algebras).

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Author: Anne Henke , tel: +44 (0)116 252 5237, e-mail: henke@maths.ox.ac.uk, web-page: http://www.maths.ox.ac.uk/~henke
Last updated: 4th November 2002
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