OAS Follow on: Operator Algebras: Subfactors and Applications

Workshop theme

Vaughan Jones initiated the study of subfactors in the early 1980's, in the theory of von Neumann algebras of operators on Hilbert spaces. Subfactor theory rapidly led to connections with link and 3-manifold invariants, quantum groups and exactly solvable models in statistical mechanics. Subsequently deep applications and connections have been uncovered with algebraic, topological and conformal quantum field theory.

The six month 2017 programme OAS was driven by recent breakthroughs on two fronts : the classification of subfactors up to a bit beyond index five, involving the newer planar algebra tools, and the growing evidence that subfactors, hence those previously thought to be exotic, such as the Haagerup subfactor, yields natural conformal field theories.

This workshop will review progress in the field during and after the programme as well as proposing future research directions in the multitude of areas related to subfactors, quantum symmetries and their applications.

This workshop is dedicated to the memory of Vaughan Jones who was one of the organizers of the 2017 programme.

Application Closing Date:

Sunday 26th February 2023

Fees

Registration Only

Registration Package: £218
Student Registration Package: £168

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.

Virtual Registration

Virtual Registration Package: £0

Virtual registration is free, and includes virtual admission to all seminars and does not include physical attendance, meals or accommodation.

Formal Dinner Only

Formal Dinner: £60

Participants on the 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

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.

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 will be held at Churchill College on Thursday 29th June at 19:30.

The event is a tradition for INI participants and gives you a chance to socialise with your colleagues on a more personal level. It is not one to miss!

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

Timetable

Monday 26th June 2023
09:30 to 09:55	Registration	No Room Required
09:55 to 10:00	Ulrike Tillmann Isaac Newton Institute; University of Cambridge Welcome	Room 1
10:00 to 11:00	Stefaan Vaes KU Leuven Ergodic states on type III_1 factors and ergodic actions	Room 1
11:00 to 11:15	Morning coffee	No Room Required
11:15 to 12:15	Makoto Yamashita Universitetet i Oslo Tensor categories of classical Lie type	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:30	Dietmar Bisch Vanderbilt University New hyperfinite subfactors with infinite depth	Room 1
14:30 to 15:30	Stuart White University of Oxford Tracially complete C*-algebras	Room 1
15:30 to 16:00	Afternoon tea	No Room Required
16:00 to 17:00	Arthur Jaffe Harvard University Some analytic questions arising in quantum information	Room 1
17:00 to 18:00	A talk by Wendy Jones followed the welcome wine reception	No Room Required

Tuesday 27th June 2023
09:00 to 10:00	Dan Voiculescu University of California, Berkeley Aspects of the quasicentral modulus	Room 1
10:00 to 11:00	Zhengwei Liu Tsinghua University Bi-Invariants of 3-Manifold Surface Algebras	Room 1
11:00 to 11:15	Morning coffee and group photo	No Room Required
11:15 to 12:15	Kasia Rejzner University of York C*-algebraic description of renormalization and anomalies in QFT	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:10	Claus Koestler University College Cork Distributional invariance principles for Jones-Temperley-Lieb algebras	Room 1
14:10 to 14:50	Cyril Houdayer Université Paris-Saclay The noncommutative factor theorem for lattices in product groups	Room 1
14:50 to 15:30	Taro Sogabe Kyoto University The Reciprocal Kirchberg algebras	Room 1
15:30 to 16:00	Afternoon tea	No Room Required
16:00 to 17:00	Yoshiko Ogata University of Tokyo Operator algebraic approach to topological phases	Room 1

Wednesday 28th June 2023
09:00 to 10:00	Emily Peters Loyola University Chicago Categorifying connections	Room 1
10:00 to 11:00	Ulrich Pennig Cardiff University Equivariant Higher Dixmier-Douady Theory for Circle Actions	Room 1
11:00 to 11:20	Morning coffee	No Room Required
11:20 to 12:00	Cain Edie-Michell University of New Hampshire Cell Systems for SU(N) Quantum Subgroups	Room 1
12:00 to 12:40	Pinhas Grossman University of New South Wales Mixed quadratic categories	Room 1
12:40 to 13:30	Lunch	No Room Required

Thursday 29th June 2023
09:00 to 10:00	Feng Xu University of California, Riverside Title TBA	Room 1
10:00 to 11:00	Yuki Arano Nagoya University Actions of tensor categories on C*-algebras	Room 1
11:00 to 11:15	Morning coffee	No Room Required
11:15 to 12:15	Amine Marrakchi ENS - Lyon; CNRS (Centre national de la recherche scientifique) Kadison's problem for type III subfactors	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:10	Jun Yang Harvard University Limit multiplicities, trace formulas and von Neumann dimensions	Room 1
14:10 to 14:50	Hans Wenzl University of California, San Diego Module categories and subfactors from quantum groups	Room 1
14:50 to 15:30	Arnaud Brothier University of New South Wales Classification of representations of the Richard Thompson groups and of the Cuntz algebra	Room 1
15:30 to 16:00	Afternoon tea	No Room Required
16:00 to 17:00	Dima Shlyakhtenko University of California, Los Angeles Free entropy dimensions and sub factors	Room 1
19:30 to 22:00	Formal dinner at Churchill College	No Room Required

Friday 30th June 2023
10:00 to 11:00	Alina Vdovina City College of New York Higher-dimensional automata, C*-algebras and buildings	Room 1
11:00 to 11:15	Morning coffee	No Room Required
11:15 to 12:15	Yasu Kawahigashi University of Tokyo Alpha-induction for bi-unitary connections	Room 1
12:15 to 13:30	Lunch	No Room Required
13:30 to 14:30	Terry Gannon University of Alberta Hypergroup orbifolds of vertex operator algebras	Room 1
14:30 to 15:30	Claudia Pinzari Sapienza Università di Roma Weak Hopf algebras associated to unitary fusion categories with applications to unitarization in vertex operator algebras	Room 1
15:30 to 16:00	Afternoon tea	No Room Required
16:00 to 17:00	Roberto Longo Università degli Studi di Roma Tor Vergata Signal communication and modular theory	Room 1

Operator algebras: subfactors and their applications

OAS Follow on: Operator Algebras: Subfactors and Applications

Organisers

David Evans Cardiff University
Masaki Izumi Kyoto University
Yoshiko Ogata University of Tokyo
Sorin Popa University of California, Los Angeles

Speakers

Dietmar Bisch Vanderbilt University
Arnaud Brothier University of New South Wales
Cain Edie-Michell University of New Hampshire
Terry Gannon University of Alberta
Pinhas Grossman University of New South Wales
Cyril Houdayer Université Paris-Saclay
Arthur Jaffe Harvard University
Yasu Kawahigashi University of Tokyo
Claus Koestler University College Cork
Zhengwei Liu Tsinghua University
Amine Marrakchi ENS - Lyon; CNRS (Centre national de la recherche scientifique)
Yoshiko Ogata University of Tokyo
Ulrich Pennig Cardiff University
Emily Peters Loyola University Chicago
Dima Shlyakhtenko University of California, Los Angeles
Taro Sogabe Kyoto University
Stefaan Vaes KU Leuven
Alina Vdovina City College of New York
Dan Voiculescu University of California, Berkeley
Hans Wenzl University of California, San Diego
Stuart White University of Oxford
Feng Xu University of California, Riverside
Makoto Yamashita Universitetet i Oslo
Jun Yang Harvard University

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Participants

Yuki Arano Nagoya University
Michał Banacki University of Gdansk
Edwin Beggs University of Wales, Swansea
Daniel Beltita Institute of Mathematics of the Romanian Academy
Valerio Bianchi Cardiff University
Dietmar Bisch Vanderbilt University
James Blake Swansea University
Arnaud Brothier University of New South Wales
Adriano Chialastri SISSA
Debabrata De None / Other
Luís Dias Instituto Superior Técnico, Lisboa
Carolina Dias Alexiou University of Tokyo
Cain Edie-Michell University of New Hampshire
David Evans Cardiff University
Terry Gannon University of Alberta
Sergio Giron Pacheco University of Oxford
Peter Goddard Institute for Advanced Study, Princeton; University of Cambridge
Pinhas Grossman University of New South Wales
LUCAS HATAISHI University of Oslo
André Henriques University of Oxford
Mao Hoshino University of Tokyo
Cyril Houdayer Université Paris-Saclay
Masaki Izumi Kyoto University
Arthur Jaffe Harvard University
Yasu Kawahigashi University of Tokyo
Claus Koestler University College Cork
Manish Kumar Polish Academy of Sciences
Robert Laugwitz University of Nottingham
Gus Isaac Lehrer University of Sydney
Zhengwei Liu Tsinghua University
Roberto Longo Università degli Studi di Roma Tor Vergata
Amine Marrakchi ENS - Lyon; CNRS (Centre national de la recherche scientifique)
Emily Mcgovern North Carolina State University
Stephen Moore Polish Academy of Sciences
Robert Neagu University of Oxford
Yoshiko Ogata University of Tokyo
Mizuki Oikawa University of Tokyo
David Penneys Ohio State University
Ulrich Pennig Cardiff University
Emily Peters Loyola University Chicago
Paulo Pinto Instituto Superior Técnico, Lisboa
Deepika Sharma Jawaharlal Nehru University
Dima Shlyakhtenko University of California, Los Angeles
Taro Sogabe Kyoto University
Frank Taipe Université Paris Saclay
Stefaan Vaes KU Leuven
Alina Vdovina City College of New York
Dan Voiculescu University of California, Berkeley
Christian Voigt University of Glasgow
Antony Wassermann University of Cambridge
Hans Wenzl University of California, San Diego
Stuart White University of Oxford
Feng Xu University of California, Riverside
Makoto Yamashita Universitetet i Oslo
Jun Yang Harvard University
Haiyan Yu Chongqing University