Groups, representations and applications: new perspectives - Cancelled
GRA
6 January 2020 to 30 June 2020
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Programme theme
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Following the outbreak of COVID19, half of this programme has been deferred to 2022. Please visit the new programme webpage here
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Britta, Colva, Martin and Tiep
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.
GRA programme: interview with organisers Martin Liebeck and Colva Roney-Dougal
Preprints
| Title | Year | Programme |
|---|---|---|
Punctured groups for exotic fusion systemsAuthors: Assaf Libman, Justin Lynd, Ellen Henke |
2019 | GRA |
Rigid automorphisms of linking systemsAuthors: Justin Lynd, George Glauberman |
2019 | GRA |
THE NON-COMMUTING, NON-GENERATING GRAPH OF A NILPOTENT GROUPAuthors: Saul Freedman, Colva Roney-Dougal, Peter Cameron |
2019 | GRA |
The geometry of diagonal groupsAuthors: Csaba Schneider, Cheryl Praeger, Peter Cameron, R.A. Bailey |
2019 | GRA |
ON THE BV STRUCTURE OF THE HOCHSCHILD COHOMOLOGY OF FINITE GROUP ALGEBRASAuthors: Markus Linckelmann, Radha Kessar, David Benson |
2019 | GRA |
On some projective triply-even binary codes invariant under the Conway group Co1Authors: Bernardo Rodrigues |
2019 | GRA |
Groups generated by derangementsAuthors: Rosemary Bailey, Gordon Royle, Michael Giudici, Peter Cameron |
2019 | GRA |
NEW INCOMPRESSIBLE SYMMETRIC TENSOR CATEGORIES IN POSITIVE CHARACTERISTICAuthors: David Benson, Pavel Etingof, Victor Ostrik |
2019 | GRA |
RESOLUTIONS BY PERMUTATION MODULESAuthors: David Benson, Paul Balmer |
2019 | GRA |
POTENTIAL USES OF REPRESENTATIONS OF SL(4;R) IN PARTICLE PHYSICSAuthors: Robert Wilson |
2019 | GRA |
POSSIBLE EMERGENCE OF FUNDAMENTAL CONSTANTS FROM A GENERALLY COVARIANT MODEL OF QUANTUM MECHANICSAuthors: Robert Wilson |
2019 | GRA |
A 2020 VISION FOR A NEW THEORY OF PHYSICSAuthors: Robert Wilson |
2019 | GRA |
REMARKS ON THE GROUP-THEORETICAL FOUNDATIONS OF PARTICLE PHYSICSAuthors: Robert Wilson |
2019 | GRA |
Workshops
Introductory/instructional workshop
6 January 2020 to 10 January 2020
Computational and algorithmic methods
27 January 2020 to 31 January 2020
Interactions between group theory, number theory, combinatorics and geometry
16 March 2020 to 19 March 2020
Seminars
| 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 | ||
Organisers
- Martin Liebeck Imperial College London
- Kay Magaard University of Arizona
- Colva Roney-Dougal University of St Andrews
- Britta Späth Bergische Universität Wuppertal
- Pham Tiep Rutgers, The State University of New Jersey
Speakers
- David Benson University of Aberdeen
- Pierre-Emmanuel Caprace Université Catholique de Louvain
- Niamh Farrell Technische Universität Kaiserslautern
- Joanna Fawcett Imperial College London
- Michael Giudici University of Western Australia
- George Glauberman University of Chicago
- Valentina Grazian Università degli Studi di Padova
- Scott Harper University of Bristol
- Derek Holt University of Warwick
- Mikko Korhonen University of Manchester
- Justin Lynd University of Louisiana at Lafayette
- Joshua Maglione Universität Bielefeld
- Luke Morgan Univerza na Primorskem
- Lucia Morotti Leibniz Universität Hannover
- Lucas Ruhstorfer Technische Universität Kaiserslautern
- Csaba Schneider Universidade Federal de Minas Gerais (UFMG)
- Pablo Spiga Università degli Studi di Milano - Bicocca
- Gareth Tracey University of Bath
Participants
- Oren Becker University of Cambridge
- Thomas Breuer RWTH Aachen University
- Tim Burness University of Bristol
- Marc Cabanes Institut de Mathématiques de Jussieu; CNRS (Centre national de la recherche scientifique)
- Peter Cameron University of St Andrews; Queen Mary University of London
- Rachel Camina University of Cambridge
- Pierre-Emmanuel Caprace Université Catholique de Louvain
- Mun See Chang University of St Andrews
- David Craven University of Birmingham
- Heiko Dietrich Monash University
- Olivier Dudas Université Denis Diderot
- Charles Eaton University of Manchester
- Bettina Eick Technische Universität Braunschweig
- Joanna Fawcett Imperial College London
- Saul Freedman University of St Andrews
- Meinolf Geck Universität Stuttgart
- Michael Giudici University of Western Australia
- George Glauberman University of Chicago
- William Timothy Gowers University of Cambridge
- Valentina Grazian Università degli Studi di Padova
- Jonathan Gruber EPFL - Ecole Polytechnique Fédérale de Lausanne
- Emily Hall University of Bristol
- Scott Harper University of Bristol
- Gerhard Richard Hiss RWTH Aachen University
- Ruwen Hollenbach Leibniz Universität Hannover
- Derek Holt University of Warwick
- William Kantor University of Oregon
- Martin Kassabov Cornell University
- Veronica Kelsey University of St Andrews
- Radha Kessar University of London
- Alexander Kleshchev University of Oregon
- Mikko Korhonen University of Manchester
- Caroline Lassueur Technische Universität Kaiserslautern
- Stacey Law University of Cambridge
- Tung Le University of Pretoria
- Markus Linckelmann City University, London
- Alastair Litterick University of Essex
- Klaus Lux University of Arizona
- Justin Lynd University of Louisiana at Lafayette
- Frank Lübeck RWTH Aachen University
- Joshua Maglione Universität Bielefeld
- Alex Malcolm University of Bristol
- Gunter Malle Technische Universität Kaiserslautern
- Stuart Martin University of Cambridge
- Jean Michel Institut de Mathématiques de Jussieu
- Luke Morgan Univerza na Primorskem
- Lucia Morotti Leibniz Universität Hannover
- Mariapia Moscatiello Università degli Studi di Padova
- Miriam Norris King's College London; Imperial College London
- Eamonn O'Brien University of Auckland
- Robert Oliver Université Paris 13
- Richard Parker None / Other
- Chris Parker University of Birmingham
- Cheryl Praeger University of Western Australia
- Aluna Rizzoli Imperial College London
- Bernardo Rodrigues University of Pretoria; University of KwaZulu-Natal
- Lucas Ruhstorfer Technische Universität Kaiserslautern
- Alex Ryba City University of New York
- Jack Saunders University of Birmingham
- Mandi Schaeffer Fry Metropolitan State University of Denver
- Csaba Schneider Universidade Federal de Minas Gerais (UFMG)
- Jason Semeraro University of Leicester; University of Bristol
- Tim Seppelt University of Cambridge
- Aner Shalev Hebrew University of Jerusalem
- Britta Späth Bergische Universität Wuppertal
- Mima Stanojkovski Max-Planck-Institut für Mathematik, Leipzig; Bielefeld University
- David Stewart University of Newcastle upon Tyne
- Jay Taylor University of Southern California
- Donna Testerman EPFL - Ecole Polytechnique Fédérale de Lausanne
- Pham Tiep Rutgers, The State University of New Jersey
- Gareth Tracey University of Bath
- Martin van Beek University of Birmingham
- Christopher Voll Universität Bielefeld
- Robert Wilson Queen Mary University of London
- James Wilson Colorado State University
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