GR2W01
9 May 2022 to 13 May 2022
The fascinating survey on the representation theory of finite groups written by R. Brauer in 1963 starts in the following way: "It has been said by E. T. Bell that “wherever groups disclosed themselves or could be introduced, simplicity crystallized out of comparative chaos.” This may often be true, but, strangely enough, it does not apply to group theory itself, not even when we restrict ourselves to groups of finite order.” Much has been achieved since the publication of this survey, for example, the Classification of Finite Simple Groups was completed, but still we do not know, for instance, if the number of irreducible characters in a Brauer p-block is bounded by the size of its defect group. Stated as Problem 20 in Brauer’s survey, this is now known as the k(B)-conjecture. Also, we still do not know if a block with only height zero characters has an abelian defect group (that is, one implication of the height zero conjecture, Problem 23 in Brauer’s list, is still open).
The announcement of the McKay conjecture in 1971 is the origin of a different kind of counting conjectures of finite groups. These include several refinements of the McKay conjecture, the Alperin weight conjecture and the Dade-Robinson conjectures. In a few words, they assert that important information of a finite group, as the number of irreducible complex characters of degree not divisible by a given prime p, can be calculated locally, namely in a much smaller group with restricted normal structure. It is believed that an explanation for all these phenomena might involve derived categories (as in Broué’s conjecture), methods in algebraic topology and working over the field of p-adic numbers. In the meantime, all these conjectures (but not the k(B)-conjecture) have been reduced to questions on simple groups, in the hope that a better understanding of the representation theory of (quasi-)simple groups can provide proofs for them ultimately using the Classification of Finite Simple Groups. This has happened with the McKay conjecture for the prime p = 2. The purpose of this meeting is to gather relevant mathematicians working on counting conjectures and related global-local problems in order to discuss the state of the art and the new developments in the area. In particular, this workshop will celebrate the great influence of Gunter Malle on those developments
Speakers list:
Registration Only
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.
Formal Dinner Only
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.
Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation.
Please see the Hotels Combined website for a list of local hotels and guesthouses.
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.
Monday 9th May 2022 | |||
---|---|---|---|
09:00 to 09:55 | No Room Required | ||
09:55 to 10:00 |
Ulrike Tillmann University of Oxford |
No Room Required | |
10:00 to 10:50 |
Geoffrey Robinson University of Aberdeen |
Room 1 | |
10:50 to 11:20 | No Room Required | ||
11:20 to 11:50 |
Donna Testerman EPFL - Ecole Polytechnique Fédérale de Lausanne |
Room 1 | |
11:50 to 12:20 |
Noelia Rizo Universidad de Oviedo |
Room 1 | |
12:20 to 13:30 | No Room Required | ||
13:30 to 14:20 |
Raphael Rouquier University of California, Los Angeles |
Room 1 | |
14:20 to 14:30 | No Room Required | ||
14:30 to 15:20 |
Michael Livesey University of Manchester |
Room 1 | |
15:20 to 16:00 | No Room Required | ||
16:00 to 16:50 |
Pham Tiep Rutgers, The State University of New Jersey |
Room 1 | |
16:50 to 18:00 | No Room Required |
Tuesday 10th May 2022 | |||
---|---|---|---|
09:00 to 09:50 |
Charles Eaton University of Manchester |
Room 1 | |
09:50 to 10:00 | No Room Required | ||
10:00 to 10:50 |
Britta Späth Bergische Universität Wuppertal |
Room 1 | |
10:50 to 11:20 | No Room Required | ||
11:20 to 11:50 |
Thomas Keller Texas State University |
Room 1 | |
11:50 to 12:20 |
Damiano Rossi City, University of London |
Room 1 | |
12:20 to 13:30 | No Room Required | ||
13:30 to 14:20 |
Mandi Schaeffer Fry Metropolitan State University of Denver |
Room 1 | |
14:20 to 14:30 | No Room Required | ||
14:30 to 15:20 |
Eugenio Giannelli Università di Firenze |
Room 1 | |
15:20 to 16:00 | No Room Required | ||
16:00 to 17:00 | Room 1 |
Wednesday 11th May 2022 | |||
---|---|---|---|
09:00 to 09:50 |
Michel Broué Université Paris 7 - Denis-Diderot |
Room 1 | |
09:50 to 10:00 | No Room Required | ||
10:00 to 10:50 |
Olivier Dudas Université Denis Diderot |
Room 1 | |
10:50 to 11:20 | No Room Required | ||
11:20 to 11:50 |
Jason Semeraro University of Leicester; University of Bristol |
Room 1 | |
11:50 to 12:20 |
Jesper Grodal Københavns Universitet (University of Copenhagen) |
Room 1 | |
12:20 to 13:30 | No Room Required | ||
13:30 to 16:50 | No Room Required | ||
19:30 to 22:00 | No Room Required |
Thursday 12th May 2022 | |||
---|---|---|---|
09:00 to 09:50 |
Radha Kessar University of London |
Room 1 | |
09:50 to 10:00 | No Room Required | ||
10:00 to 10:50 |
Alexander Moreto Universitat de València |
Room 1 | |
10:50 to 11:20 | No Room Required | ||
11:20 to 11:50 |
Stacey Law University of Cambridge |
Room 1 | |
11:50 to 12:20 |
Niamh Farrell Leibniz Universität Hannover |
Room 1 | |
12:20 to 13:30 | No Room Required | ||
13:30 to 14:20 |
Benjamin Sambale Leibniz Universität Hannover |
Room 1 | |
14:20 to 14:30 | No Room Required | ||
14:30 to 15:20 |
Caroline Lassueur Technische Universität Kaiserslautern; RWTH Aachen University |
Room 1 | |
15:20 to 16:00 | No Room Required | ||
16:00 to 16:50 |
George Lusztig Massachusetts Institute of Technology |
Room 1 |
Friday 13th May 2022 | |||
---|---|---|---|
09:00 to 09:50 |
Alexander Kleshchev University of Oregon |
Room 1 | |
09:50 to 10:00 | No Room Required | ||
10:00 to 10:50 |
Jay Taylor University of Manchester |
Room 1 | |
10:50 to 11:20 | No Room Required | ||
11:20 to 12:10 |
Lucas Ruhstorfer Technische Universität Kaiserslautern |
Room 1 | |
12:10 to 12:15 |
Chair: Gunter Malle |
Room 1 | |
12:15 to 13:30 | No Room Required |
Subscribe for the latest updates on events and news
Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH United Kingdom
Tel: +44 1223 335999 Email: reception@newton.ac.uk
© 2023 Isaac Newton Institute for Mathematical Sciences. All Rights Reserved. Privacy Policy
INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
Within this section of the website you should find all the information required to arrange and plan your visit to the Institute. If you have any further questions, or are unable to find the information you require, please get in touch with the relevant staff member or our Reception team via our contact pages.
INI and its programme participants produce a range of publications to communicate information about activities and events, publish research outcomes, and document case studies which are written for a non-technical audience. You will find access to them all in this section.
The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
Find out about all of these endeavours in this section of the site.
There are various ways to keep up-to-date with current events and happenings at the Isaac Newton Institute. As detailed via the menu links within this section, our output covers social media streams, news articles, a regular podcast series, an online newsletter, and more detailed documents produced throughout the year.
“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
The Institute depends upon donations, as well as research grants, to support the world class research undertaken by participants in its programmes.
Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
Visit this section to learn more about how you could play a part in supporting INI’s groundbreaking research.
In this section you can find contact information, staff lists, maps and details of how to find INI’s main building in Cambridge.
Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.