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Structure of operator algebras: subfactors and fusion categories

23rd January 2017 to 27th January 2017
David Evans Cardiff University
Masaki Izumi Kyoto University
Vaughan Jones Vanderbilt University, University of California, Berkeley, University of Auckland

Workshop Theme

The opening workshop will focus on introducing the theoretic foundations of the six month programme. In particular, the workshop will feature both algebraic and analytic aspects of subfactors and fusion categories, including the classification of low index subfactors, modular tensor categories and their module categories, but also exposing the infinite depth, infinite index subfactors and exploiting free probability and planar algebras.

Non unitary and non-semisimple fusion systems are coming to the fore (e.g. related to logarithmic conformal field theories) being studied through non-unitary Leavitt algebras.

Deadline for applications: 27th October 2016

Apply now

Please note members of Cambridge University are welcome to turn up and sign in as a non-registered attendee on the day(s) during the workshop and attend the lecture(s). Please note that we cannot provide you with any support including name badge, meals or accommodation.

In addition to visiting the INI, there are multiple ways in which you can participate remotely.



Registration Only
  • Registration Package: £230
  • Student Registration Package: £177

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
  • Formal Dinner: £50

Participants on the Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, 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 will be served at Wolfson Court in the Cafeteria from 12:30 to 13:30 on days that lectures take place.

  • Registration Package participants should present their badge as payment for their meal
  • Those issued with a blue Institute door entrance card can add money onto the card via the Porters' Lodge at Wolfson Court
  • Other participants must purchase their meal using their dining card via the Porters' Lodge (forms can be found on the registration desk or at the Porters' Lodge)

Evening Meal

Participants are free to make their own arrangements for dinner.

Formal Dinner

The Formal Dinner will take place on 25 January 2017 at Emmanuel College. Participants on the Registration Package, including organisers and speakers, are automatically included in this event. All remaining participants are encouraged to attend at a charge of £50.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons