OAS
9 January 2017 to 23 June 2017
The study of subfactors was initiated by Vaughan Jones 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 reinforcing the connections with physics. Subsequently deep applications and connections have been uncovered with algebraic, topological and conformal quantum field theory, with rapid progress in recent years in these applications. Free probability and planar algebra techniques have been combined to not only construct subfactors but derive matrix model computations in loop models of statistical mechanics.
These developments have led to connections between subfactors, non-commutative geometry and conformal field theory. In particular relationships between conformal nets of factors, twisted equivariant K-theory, K-homology, KK-theory, fusion and module categories and vertex operator algebras. The K-theoretic aspect of the programme includes higher twists as higher Dixmier-Douady twists and the categorification or higher geometry fronts. The search for geometric description of elliptic cohomology has led to relations with conformal field theories and conformal nets.
The programme will focus on these wide ranging applications as well as the underlying structure theory of operator algebras and subfactors. The classification of subfactors of small index has made strides in the last few years, involving the newer planar algebra tools, including the complete classification of subfactors with index values in the interval [4,5] and significant progress between 5 to just beyond 6. However there are very few constructions of subfactors that do not rely on group or quantum group symmetries. The challenge is to understand and even construct these allegedly exotic subfactors in a natural way and realising modular tensor categories as conformal field theories with conformal nets of factors and vertex operator algebras. There is much recent evidence that the Haagerup subfactor for example yields a natural conformal field theory.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Operator algebras for higher rank analysis and their application to factorial languagesAuthors: Adam Dor-On, Evgenios Kakariadis |
2016 | OAS | 27 April 2018 |
Yang-Baxter representations of the infinite symmetric groupAuthors: Simon Wood, Ulrich Pennig, Gandalf Lechner |
2016 | OAS | 3 August 2017 |
Free multivariate semicrossed products: reflexivity and the bicommutant propertyAuthors: Evgenios Kakariadis, Robert T. Bickerton |
2016 | OAS | 3 August 2017 |
On the quantized dynamics of factorial languagesAuthors: Evgenios Kakariadis, Christopher Barrett |
2016 | OAS | 3 August 2017 |
Yoh TanimotoAuthors: Roberto Longo, Yoshimichi Ueda, Yoh Tanimoto |
2016 | OAS | 27 June 2017 |
Bernoulli actions of type III_1 and L^2-cohomologyAuthors: Jonas Wahl, Stefaan Vaes |
2016 | OAS | 17 May 2017 |
Euler totient of subfactor planar algebrasAuthors: Sebastien Palcoux |
2016 | OAS | 29 March 2017 |
Non-semisimple planar algebras from the representation theory of ${\overline{U}_q}{(\mathfrak{sl}_2)}$Authors: Stephen Moore |
2016 | OAS | 13 March 2017 |
L^2-Betti numbers of rigid C*-tensor categories and discrete quantum groupsAuthors: David Kyed, Sven Raum, Matthias Valvekens, Stefaan Vaes |
2016 | OAS | 2 March 2017 |
11 January 2017 to 20 January 2017
23 January 2017 to 27 January 2017
27 March 2017 to 31 March 2017
12 June 2017 to 16 June 2017
26 June 2023 to 30 June 2023
Tuesday 31st January 2017 | |||
---|---|---|---|
15:30 to 16:30 |
Scott Morrison Australian National University |
Room 1 |
Tuesday 7th February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Yoh Tanimoto Università degli Studi di Roma Tor Vergata |
Room 2 | |
Thursday 9th February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Vincenzo Morinelli Università degli Studi di Roma Tor Vergata |
Room 2 | |
Tuesday 14th February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Masaki Izumi Kyoto University |
Room 2 | |
Thursday 16th February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Stefano Rossi Università degli Studi di Roma Tor Vergata |
Room 2 | |
Tuesday 21st February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Denjoe O'Connor Dublin Institute for Advanced Studies |
Room 2 | |
Thursday 23rd February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Ivan Todorov Queen's University Belfast |
Room 2 | |
Tuesday 28th February 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Evgenios Kakariadis University of Newcastle upon Tyne |
Room 2 | |
Thursday 2nd March 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Stephen Moore Cardiff University |
Room 2 |
Tuesday 7th March 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Keith Hannabuss University of Oxford |
Room 2 | |
Thursday 9th March 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Andreas Aaserud Cardiff University |
Room 2 | |
Tuesday 14th March 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Paul Fendley University of Oxford |
Room 2 | |
Thursday 16th March 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Makoto Yamashita Ochanomizu University |
Room 2 | |
Tuesday 21st March 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Yasu Kawahigashi University of Tokyo |
Room 2 | |
Thursday 6th April 2017 | |||
---|---|---|---|
13:00 to 14:00 |
Valeriano Aiello Università degli Studi Roma Tre |
Room 2 |
Tuesday 11th April 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Kenny De Commer Vrije Universiteit Brussel |
Room 2 | |
Tuesday 18th April 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Yuki Arano Kyoto University |
Room 2 | |
Thursday 20th April 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Andrew McKee Queen's University Belfast |
Room 2 | |
Tuesday 25th April 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Yuki Arano Kyoto University |
Room 2 | |
Thursday 27th April 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Ingo Runkel King's College London |
Room 2 | |
Tuesday 2nd May 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Yuki Arano Kyoto University |
Room 2 | |
Thursday 4th May 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Roland Vergnioux Université de Caen Basse-Normandie |
Room 2 | |
Tuesday 9th May 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Yuki Arano Kyoto University |
Room 2 | |
Tuesday 16th May 2017 | |||
---|---|---|---|
12:45 to 13:45 |
Dorothea Bahns Georg-August-Universität Göttingen |
Room 2 | |
14:00 to 15:00 |
Hans Wenzl University of California, San Diego |
Room 2 | |
Thursday 18th May 2017 | |||
---|---|---|---|
14:00 to 15:00 |
David Kyed University of Southern Denmark |
Room 2 | |
Tuesday 23rd May 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Ying-Fen Lin Queen's University Belfast |
Room 2 | |
Thursday 25th May 2017 | |||
---|---|---|---|
14:00 to 15:00 |
Jonathan Rosenberg University of Maryland, College Park |
Room 2 |
Friday 2nd June 2017 | |||
---|---|---|---|
16:00 to 17:00 |
Marius Dadarlat |
Room 2 | |
Tuesday 6th June 2017 | |||
---|---|---|---|
12:45 to 13:45 |
Joachim Zacharias University of Glasgow |
Room 2 | |
14:00 to 15:00 |
Marius Dadarlat |
Room 2 | |
Thursday 8th June 2017 | |||
---|---|---|---|
12:45 to 13:45 |
Emmanuel Germain Université de Caen Basse-Normandie |
Room 2 | |
14:00 to 15:00 |
Marius Dadarlat |
Room 2 | |
Tuesday 20th June 2017 | |||
---|---|---|---|
13:30 to 14:30 |
Sven Raum EPFL - Ecole Polytechnique Fédérale de Lausanne |
Room 2 | |
16:00 to 17:00 |
Masaki Izumi Kyoto University |
Room 2 | |
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