Simple groups, representations and applications

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Workshop theme

This final workshop will aim to bring all strands of the programme together. There will be speakers covering aspects of all the main themes, focussing particularly on the simple groups: representation theory, subgroup structure, fusion systems and local group theory, computational algebra, and connections with other areas. The workshop will particularly celebrate the great influence of the work of Michael Aschbacher and Robert Guralnick on all of these themes.

Fees

Registration Only

Registration Package: £208
Student Registration Package: £158

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Registration and Accommodation

Accommodation Package: £587

The Accommodation Package includes a registration fee, bed and breakfast accommodation at Churchill College from the evening of Sunday to breakfast on Saturday, together with lunches and refreshments during the days that lectures take place (Monday - Friday). The formal dinner is also included, but no other evening meals

Formal Dinner Only

Formal Dinner: £55

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as programme participants, the above charge will apply.

Accommodation

Accommodation

Accommodation in single study bedrooms with shared facilities and breakfast are provided at Churchill College.

Meals

Lunch Lunch timings and location will be confirmed with timetable.

Evening Meal Participants are free to make their own arrangements for dinner.

Formal Dinner The Formal Dinner location and date is to be confirmed.

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event

Timetable

Monday 25th July 2022
09:00 to 09:55	Registration	No Room Required
09:55 to 10:00	Ulrike Tillmann University of Oxford Welcome Talk	No Room Required
10:00 to 10:50	Alex Lubotzky Hebrew University of Jerusalem Good locally testable codes	Room 1
10:50 to 11:20	Morning Coffee	No Room Required
11:20 to 12:10	Gunter Malle Technische Universität Kaiserslautern Conjugacy class numbers and pi-subgroups	Room 1
12:10 to 13:30	Lunch	No Room Required
13:30 to 14:20	Olivier Dudas Université Denis Diderot Ennola duality for representations of finite reductive groups	Room 1
14:30 to 15:20	Nick Katz Princeton University Local Systems and Simple Groups I	Room 1
15:20 to 16:00	Afternoon Tea	No Room Required
16:00 to 16:50	Pham Tiep Rutgers, The State University of New Jersey Local Systems and Simple Groups II	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 26th July 2022
09:00 to 09:50	Ellen Henke Technische Universität Dresden Fusion systems, localities and the classification of finite simple groups	Room 1
10:00 to 10:30	John Shareshian Washington University in St. Louis Invariable generation of finite simple groups by two elements of prime or prime power order	Room 1
10:30 to 11:00	Group Photo and Morning Coffee	No Room Required
11:00 to 11:30	Kevin Piterman Philipps-Universität Marburg; Universidad de Buenos Aires On the homotopy type of p-subgroup posets	Room 1
11:40 to 12:10	Britta Späth Bergische Universität Wuppertal Last steps in a proof of the McKay Conjecture on character degrees	Room 1
12:10 to 14:00	Lunch	No Room Required
14:00 to 14:50	Persi Diaconis Stanford University Double coset random walks	Room 1
14:50 to 16:00	Afternoon Tea and Poster Session	No Room Required
16:00 to 16:50	Michael Aschbacher CALTECH (California Institute of Technology) Fusion systems and finite simple groups	Room 1

Wednesday 27th July 2022
09:00 to 09:50	Robert Oliver Université Paris 13 Realizing representations in fusion systems	Room 1
10:00 to 10:30	Justin McInroy University of Chester; Heilbronn Institute Classifying quotients of the Highwater algebra	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Martin van Beek University of Birmingham Rank 2 Amalgams and Fusion Systems	Room 1
11:40 to 12:10	Valentina Grazian Università degli Studi di Milano - Bicocca Fusion systems on maximal class p-groups	Room 1
12:10 to 14:00	Lunch	No Room Required
19:30 to 22:00	Formal Dinner at Christ's College	No Room Required

Thursday 28th July 2022
09:00 to 09:50	Emmanuel Breuillard University of Oxford On the inverse problem for isometry groups of norms	Room 1
10:00 to 10:30	Alexander Kleshchev University of Oregon Irreducible restrictions of representations of symmetric and alternating groups	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Colva Roney-Dougal University of St Andrews Permutation groups and relational complexity	Room 1
11:40 to 12:30	Martin Kassabov Cornell University Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients	Room 1
12:30 to 14:00	Lunch	No Room Required
14:00 to 14:50	Aner Shalev Hebrew University of Jerusalem Simple groups, characteristic covering numbers and tensor product growth of representations	Room 1
15:00 to 15:50	Ronald Solomon Ohio State University Update on the CGLSS Project I	Room 1
15:50 to 16:20	Afternoon Tea	No Room Required
16:20 to 17:10	Inna Capdeboscq University of Warwick Update on the CGLSS Project II	Room 1

Friday 29th July 2022
09:30 to 10:20	David Stewart University of Newcastle upon Tyne A Prolog-assisted search for simple Lie algebras	Room 1
10:30 to 11:00	Morning Coffee	No Room Required
11:00 to 11:30	Scott Harper University of Bristol Invariable generation and totally deranged elements of simple groups	Room 1
11:40 to 12:30	Tim Burness University of Bristol Base-two permutation groups and applications	Room 1
12:30 to 13:30	Lunch	No Room Required

Groups, representations and applications: new perspectives

Simple groups, representations and applications

Organisers

Radha Kessar University of London
Martin Liebeck Imperial College London
Chris Parker University of Birmingham

Speakers

Michael Aschbacher CALTECH (California Institute of Technology)
Emmanuel Breuillard Universität Münster
Tim Burness University of Bristol
Inna Capdeboscq University of Warwick
Persi Diaconis Stanford University
Olivier Dudas Université Denis Diderot
Valentina Grazian Università degli Studi di Padova
Scott Harper University of Bristol
Ellen Henke University of Aberdeen
Martin Kassabov Cornell University
Nick Katz Princeton University
Alexander Kleshchev University of Oregon
Alex Lubotzky Hebrew University of Jerusalem
Gunter Malle Technische Universität Kaiserslautern
Justin McInroy University of Chester; Heilbronn Institute
Robert Oliver Université Paris 13
Kevin Piterman Philipps-Universität Marburg; Universidad de Buenos Aires
Colva Roney-Dougal University of St Andrews
Aner Shalev Hebrew University of Jerusalem
John Shareshian
Ronald Solomon Ohio State University
Britta Späth Bergische Universität Wuppertal
David Stewart University of Newcastle upon Tyne
Pham Tiep Rutgers, The State University of New Jersey
Martin van Beek University of Birmingham

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Participants

ola amara omari Bar-Ilan University
Michael Aschbacher CALTECH (California Institute of Technology)
Barbara Baumeister Bielefeld University
Tim Burness University of Bristol
Peter Cameron University of St Andrews; Queen Mary University of London
Rachel Camina University of Cambridge
Inna Capdeboscq University of Warwick
David Craven University of Birmingham
Persi Diaconis Stanford University
Olivier Dudas Université Denis Diderot
Charles Eaton University of Manchester
Richard Foote University of Vermont
Clara Franchi Università Cattolica del Sacro Cuore - Sede di Brescia
Saul Freedman University of St Andrews
Michael Geline University of Illinois at Chicago
George Glauberman University of Chicago
Valentina Grazian Università degli Studi di Milano - Bicocca
Robert Guralnick University of Southern California
Scott Harper University of Bristol
Harald Helfgott CNRS (Centre national de la recherche scientifique); Georg-August-Universität Göttingen
Ellen Henke Technische Universität Dresden
Frank Himstedt Munich University of Technology
Hongyi Huang University of Bristol
Paula Hähndel Martin-Luther-Universität Halle-Wittenberg
Atle Bjarne Höhne Martin-Luther-Universität Halle-Wittenberg
Urban Jezernik University of Ljubljana
Julian Erik Kaspczyk Technische Universität Dresden
Martin Kassabov Cornell University
Nick Katz Princeton University
Surinder Kaur Indian Institute of Technology
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
Tae Young Lee Rutgers, The State University of New Jersey
Martin Liebeck Imperial College London
Markus Linckelmann City University, London
Alex Lubotzky Hebrew University of Jerusalem
Justin Lynd University of Louisiana at Lafayette
Richard Lyons Rutgers, The State University of New Jersey
Frank Lübeck RWTH Aachen University
Mario Mainardis Università degli Studi di Udine
Gunter Malle Technische Universität Kaiserslautern
Stuart Martin University of Cambridge
Diego Martin duro University of Warwick
Attila Maróti Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences
Jamie Mason University of Birmingham
Justin McInroy University of Chester; Heilbronn Institute
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
Emilio Pierro London School of Economics
Kevin Piterman Philipps-Universität Marburg; Universidad de Buenos Aires
Cheryl Praeger University of Western Australia
Kamilla Rekvenyi Imperial College London
Aluna Rizzoli University of Cambridge
Bernardo Rodrigues University of Pretoria; University of KwaZulu-Natal
Colva Roney-Dougal University of St Andrews
Edoardo Salati Technische Universität Dresden
Mary Schaps Bar-Ilan University
Leonard Scott University of Virginia
Yoav Segev Ben-Gurion University
Gary Seitz University of Oregon
Jason Semeraro University of Leicester; University of Bristol
Aner Shalev Hebrew University of Jerusalem
John Shareshian Washington University in St. Louis
Britta Späth Bergische Universität Wuppertal
David Stewart University of Newcastle upon Tyne
Gernot Stroth Martin-Luther-Universität Halle-Wittenberg
Marta Tameni Università degli Studi di Milano - Bicocca
Adam Thomas University of Warwick
Pham Tiep Rutgers, The State University of New Jersey
Aparna Upadhyay University of Arizona; University at Buffalo
Martin van Beek University of Birmingham
Jonathon Villareal University of Louisiana at Lafayette
Laura Voggesberger Technische Universität Kaiserslautern
Rebecca Waldecker Martin-Luther-Universität Halle-Wittenberg
Dean Yates Queen Mary University of London
Alexandre Zalesski University of East Anglia
Zehavit Zvi Bar-Ilan University