Introductory/instructional workshop

Workshop theme

The workshop will provide participants with an overview of the workshop themes and how they fit together. This will be achieved by providing an account of the state of the art of each of the proposal themes, as well as an introduction to the major open problems in each area. We anticipate that this will be especially beneficial to Early Career Researchers and those wishing to work at the interface between group- and representation theory and other areas.

There will be in particular lectures on finite reductive groups, their subgroups and their representations, on local global conjectures in group representation theory, and on fusion systems. There will also be lectures on modern algorithmic methods for finitely presented groups and matrix groups. Connections with other areas of mathematics will also be presented.

The application is closed

Timetable

Monday 6th January 2020
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from David Abrahams (Isaac Newton Institute)	No Room Required
10:00 to 11:00	Olivier Dudas Université Denis Diderot Finite reductive groups and their irreducible characters - 1	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Radha Kessar University of London Introduction to fusion systems-I	Room 1
12:30 to 14:00	Lunch at Westminster College	No Room Required
14:00 to 15:00	Ellen Henke University of Aberdeen The classification of finite simple groups via fusion systems	Room 1
15:00 to 16:00	Chris Parker University of Birmingham Groups with lots of p-local subgroups of characteristic p.	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required
16:30 to 17:30	Stephen Donkin University of York Algebraic Groups and Finite Dimensional Algebras	Room 1
17:30 to 18:30	Welcome Wine Reception at INI	No Room Required

Tuesday 7th January 2020
09:00 to 10:00	Radha Kessar University of London Introduction to fusion systems-II	Room 1
10:00 to 11:00	Olivier Dudas Université Denis Diderot Finite reductive groups and their irreducible characters - 2	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Markus Linckelmann City University, London Blocks of finite group algebras I	Room 1
12:30 to 14:00	Lunch at Westminster College	No Room Required
14:00 to 15:00	Frank Lübeck RWTH Aachen University Computing with reductive groups	Room 1
15:00 to 16:00	Derek Holt University of Warwick Low dimensional cohomology of finite groups	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required
16:30 to 17:30	Jay Taylor University of Southern California Representations and Unipotent Classes	Room 1

Wednesday 8th January 2020
09:00 to 10:00	Markus Linckelmann City University, London Blocks of finite group algebras II	Room 1
10:00 to 11:00	Colva Roney-Dougal University of St Andrews Aschbacher's theorem	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Aner Shalev Hebrew University of Jerusalem Connections with other Areas of Mathematics	Room 1
12:30 to 14:00	Lunch at Westminster College	No Room Required
14:00 to 18:00	Free afternoon	No Room Required
19:30 to 22:00	Formal Dinner at Emmanuel College (Hall)	No Room Required

Thursday 9th January 2020
09:00 to 10:00	Martin Liebeck Imperial College London The subgroup structure of almost simple groups, I	Room 1
10:00 to 11:00	Eamonn O'Brien University of Auckland Algorithms for matrix groups I	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Britta Späth Bergische Universität Wuppertal Reduction Theorems for global-local Conjectures	Room 1
12:30 to 14:00	Lunch at Westminster College	No Room Required
14:00 to 15:00	Klaus Lux University of Arizona Basic algorithms in the representation theory of finite groups and algebras	Room 1
15:00 to 16:00	Peter Cameron University of St Andrews; Queen Mary University of London Finite permutation groups: the landscape post-CFSG	Room 1
16:00 to 16:30	Afternoon Tea	No Room Required
16:30 to 17:00	Ana Bernal Université de Reims Champagne-Ardenne On self-Mullineux and self-conjugate partitions	Room 1
17:00 to 17:30	Cesare Giulio Ardito University of Manchester Classifying 2-blocks with an elementary abelian defect group	Room 1

Friday 10th January 2020
09:00 to 10:00	Martin Liebeck Imperial College London The subgroup structure of almost simple groups, II	Room 1
10:00 to 11:00	Eamonn O'Brien University of Auckland Algorithms for matrix groups II	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Charles Eaton University of Manchester Conjectures in local representation theory	Room 1
12:30 to 14:00	Lunch at Westminster College	No Room Required
14:00 to 15:00	Peter Cameron University of St Andrews; Queen Mary University of London Finite permutation groups: applications to transformation semigroups and synchronization	Room 1
15:00 to 15:30	Surinder Kaur Indian Institute of Technology Conjugacy Classes and the Normal Complement Problem in Group Algebras	Room 1
15:30 to 16:00	Aluna Rizzoli Imperial College London Finite Singular Orbit Modules for Algebraic Groups	Room 1

Groups, representations and applications: new perspectives - Cancelled

Organisers

Marc Cabanes Institut de Mathématiques de Jussieu; CNRS (Centre national de la recherche scientifique)
David Craven University of Birmingham
Gerhard Richard Hiss RWTH Aachen University
Gunter Malle Technische Universität Kaiserslautern

Speakers

Cesare Giulio Ardito University of Manchester
Ana Bernal Université de Reims Champagne-Ardenne
Peter Cameron University of St Andrews; Queen Mary University of London
Stephen Donkin University of York
Olivier Dudas Université Denis Diderot
Charles Eaton University of Manchester
Ellen Henke University of Aberdeen
Derek Holt University of Warwick
Surinder Kaur Indian Institute of Technology
Radha Kessar University of London
Martin Liebeck Imperial College London
Markus Linckelmann City University, London
Klaus Lux University of Arizona
Frank Lübeck RWTH Aachen University
Eamonn O'Brien University of Auckland
Chris Parker University of Birmingham
Aluna Rizzoli Imperial College London
Colva Roney-Dougal University of St Andrews
Aner Shalev Hebrew University of Jerusalem
Britta Späth Bergische Universität Wuppertal
Jay Taylor University of Southern California

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Participants

Abdullah Abubakar University of Aberdeen
Cesare Giulio Ardito University of Manchester
Oren Becker University of Cambridge
David Benson University of Aberdeen
Ana Bernal Université de Reims Champagne-Ardenne
Bernhard Boehmler Technische Universität Kaiserslautern
Jendrik Brachter Technische Universität Kaiserslautern
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
Mun See Chang University of St Andrews
David Craven University of Birmingham
Stephen Donkin University of York
Olivier Dudas Université Denis Diderot
Charles Eaton University of Manchester
Joanna Fawcett Imperial College London
Michael Giudici University of Western Australia
George Glauberman University of Chicago
William Timothy Gowers University of Cambridge
Valentina Grazian Università degli Studi di Padova
Ellen Henke University of Aberdeen
Jonas Hetz Universität Stuttgart
Gerhard Richard Hiss RWTH Aachen University
Derek Holt University of Warwick
Paula Hähndel Martin-Luther-Universität Halle-Wittenberg
Birte Johansson Technische Universität Kaiserslautern
Julian Erik Kaspczyk University of Aberdeen
Martin Kassabov Cornell University
Surinder Kaur Indian Institute of Technology
Veronica Kelsey University of St Andrews
Radha Kessar University of London
Caroline Lassueur Technische Universität Kaiserslautern
Stacey Law University of Cambridge
Martin Liebeck Imperial College London
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
Laura Maassen RWTH Aachen University
Claudio Marchi University of Manchester
Stuart Martin University of Cambridge
Eoghan McDowell Royal Holloway, University of London
Luke Morgan Univerza na Primorskem
Lucia Morotti Leibniz Universität Hannover
William Murphy City University, London
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
Kamilla Rekvenyi Imperial College London
Aluna Rizzoli Imperial College London
Colva Roney-Dougal University of St Andrews
Damiano Rossi Bergische Universität Wuppertal
Lucas Ruhstorfer Technische Universität Kaiserslautern
Mandi Schaeffer Fry Metropolitan State University of Denver
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
Liam Stott University of St Andrews
Jay Taylor University of Southern California
Adam Thomas University of Warwick
Gareth Tracey University of Bath
Aleksei Vasilev Novosibirsk State University
Laura Voggesberger Technische Universität Kaiserslautern
Robert Wilson Queen Mary University of London
James Wilson Colorado State University