GRA
6 January 2020 to 30 June 2020
Group Theory is essentially the theory of symmetry for mathematical and physical systems, and underpins much of modern mathematics. Born more than two centuries ago in the work of Evariste Galois, it achieved a major milestone when the Classification of Finite Simple Groups was completed. Since then, important and deep connections to areas as varied as topology, algebraic geometry, Lie theory, homological algebra, and mathematical physics, have been discovered and exploited. Still, the area abounds with basic problems and conjectures, some of which have been open for decades.
Recent breakthroughs hold out the prospect of finally solving some venerable open problems. In turn, recent results in group and representation theory have led to substantial progress in a vast number of applications in Lie theory, number theory, algebraic geometry, combinatorics and semigroup theory, to name a few.
All this wealth of new results and directions will be in the focus of the programme, which includes the following themes:
-- Reductive groups: Representations, subgroup structure, and cohomology
-- Local-global conjectures in representation theory of finite groups
-- Fusion systems, local group theory, and revision projects
-- Modern algorithmic and computational methods
-- Connections with other areas of mathematics
There will be five one-week workshops, with the first one to provide participants with an overview of the programme's themes and how they fit together. The programme will bring together the leading experts in group and representation theory, on the one hand, and from several key other parts of mathematics on the other, with the aim of solving some of the main open problems and taking the many connections between group theory and other areas of mathematics to the next level.
> Click here to see the content produced by Plus Magazine during the GRA programme
Title | Year | Programme | |
---|---|---|---|
Rigid automorphisms of linking systemsAuthors: Justin Lynd, George Glauberman |
2019 | GRA | 20 October 2022 |
Punctured groups for exotic fusion systemsAuthors: Justin Lynd, Ellen Henke, Assaf Libman |
2019 | GRA | 20 October 2022 |
THE NON-COMMUTING, NON-GENERATING GRAPH OF A NILPOTENT GROUPAuthors: Saul Freedman, Peter Cameron, Colva Roney-Dougal |
2019 | GRA | 2 September 2020 |
The geometry of diagonal groupsAuthors: Peter Cameron, Csaba Schneider, Cheryl Praeger, R.A. Bailey |
2019 | GRA | 28 July 2020 |
ON THE BV STRUCTURE OF THE HOCHSCHILD COHOMOLOGY OF FINITE GROUP ALGEBRASAuthors: Markus Linckelmann, David Benson, Radha Kessar |
2019 | GRA | 6 May 2020 |
On some projective triply-even binary codes invariant under the Conway group Co1Authors: Bernardo Rodrigues |
2019 | GRA | 5 May 2020 |
Groups generated by derangementsAuthors: Peter Cameron, Rosemary Bailey, Michael Giudici, Gordon Royle |
2019 | GRA | 6 April 2020 |
NEW INCOMPRESSIBLE SYMMETRIC TENSOR CATEGORIES IN POSITIVE CHARACTERISTICAuthors: Victor Ostrik, David Benson, Pavel Etingof |
2019 | GRA | 23 March 2020 |
RESOLUTIONS BY PERMUTATION MODULESAuthors: Paul Balmer, David Benson |
2019 | GRA | 19 March 2020 |
POTENTIAL USES OF REPRESENTATIONS OF SL(4;R) IN PARTICLE PHYSICSAuthors: Robert Wilson |
2019 | GRA | 12 March 2020 |
POSSIBLE EMERGENCE OF FUNDAMENTAL CONSTANTS FROM A GENERALLY COVARIANT MODEL OF QUANTUM MECHANICSAuthors: Robert Wilson |
2019 | GRA | 2 March 2020 |
A 2020 VISION FOR A NEW THEORY OF PHYSICSAuthors: Robert Wilson |
2019 | GRA | 28 February 2020 |
REMARKS ON THE GROUP-THEORETICAL FOUNDATIONS OF PARTICLE PHYSICSAuthors: Robert Wilson |
2019 | GRA | 27 February 2020 |
6 January 2020 to 10 January 2020
27 January 2020 to 31 January 2020
16 March 2020 to 19 March 2020
Tuesday 14th January 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Gareth Tracey University of Bath |
Room 2 | |
Thursday 16th January 2020 | |||
---|---|---|---|
16:00 to 17:00 |
George Glauberman University of Chicago |
Room 2 |
Tuesday 21st January 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Lucia Morotti Leibniz Universität Hannover |
Room 2 | |
Thursday 23rd January 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Michael Giudici University of Western Australia |
Room 2 | |
Tuesday 4th February 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Joshua Maglione Universität Bielefeld |
Room 2 | |
Wednesday 5th February 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Csaba Schneider Universidade Federal de Minas Gerais (UFMG) |
Room 2 | |
Tuesday 11th February 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Luke Morgan Univerza na Primorskem |
Room 2 | |
Thursday 13th February 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Scott Harper University of Bristol |
Room 2 | |
Tuesday 18th February 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Lucas Ruhstorfer Technische Universität Kaiserslautern |
Room 2 | |
Thursday 20th February 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Tuesday 25th February 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Valentina Grazian Università degli Studi di Padova |
Room 2 | |
Thursday 27th February 2020 | |||
---|---|---|---|
16:00 to 17:00 |
David Benson University of Aberdeen |
Room 2 | |
Tuesday 3rd March 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Mikko Korhonen University of Manchester |
Room 2 |
Thursday 5th March 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Justin Lynd University of Louisiana at Lafayette |
Room 2 | |
Tuesday 10th March 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Niamh Farrell Technische Universität Kaiserslautern |
Room 2 | |
Thursday 12th March 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Joanna Fawcett Imperial College London |
Room 2 | |
Tuesday 24th March 2020 | |||
---|---|---|---|
11:00 to 12:00 |
Pablo Spiga Università degli Studi di Milano - Bicocca |
Room 2 |
Thursday 26th March 2020 | |||
---|---|---|---|
16:00 to 17:00 |
Derek Holt University of Warwick |
Room 2 |
Friday 22nd July 2022 | |||
---|---|---|---|
12:10 to 14:00 | Centre for Mathematical Sciences |
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