Structure of operator algebras: subfactors and fusion categories

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.

Applications for this workshop are now closed

Timetable

Monday 23rd January 2017
10:00 to 11:00	Sorin Popa University of California, Los Angeles On rigidity in II1 factor framework	Room 1
11:30 to 12:30	Stephen Bigelow University of California, Santa Barbara A diagrammatic approach to Ocneanu cells	Room 1
13:30 to 14:30	Corey Jones Australian National University Operator Algebras in rigid C*-tensor categories	Room 1
14:30 to 15:30	David Jordan University of Edinburgh Dualizability and orientability of tensor categories	Room 1
16:00 to 17:00	Yusuke Isono Kyoto University On fundamental groups of tensor product II_1 factors	Room 1

Tuesday 24th January 2017
10:00 to 11:00	George Elliott University of Toronto; Cardiff University The classification of unital simple separable C*-algebras with finite nuclear dimension	Room 1
11:30 to 12:30	Stuart White University of Glasgow The structure of simple nuclear C*-algebras: a von Neumann prospective	Room 1
13:30 to 14:30	Wilhelm Winter Universität Münster Structure and classification of nuclear C*-algebras: The role of the UCT	Room 1
14:30 to 15:30	Sam Evington University of Glasgow W$^*$-Bundles and Continuous Families of Subfactors	Room 1
16:00 to 17:00	Koichi Shimada Kyoto University A classification of real-line group actions with faithful Connes--Takesaki modules on hyperfinite factors	Room 1

Wednesday 25th January 2017
10:00 to 11:00	Stefaan Vaes KU Leuven Classification of free Araki-Woods factors	Room 1
11:30 to 12:30	Dima Shlyakhtenko University of California, Los Angeles Cohomology and $L^2$-Betti numbers for subfactors and quasi-regular inclusions	Room 1
13:30 to 14:30	Arnaud Brothier Crossed-products by locally compact groups and intermediate subfactors.	Room 1
14:30 to 15:30	Alexei Semikhatov Lebedev Physical Institute Screening operators in conformal field models and beyond	Room 1
16:00 to 17:00	Alice Guionnet ENS - Lyon tba	Room 1

Thursday 26th January 2017
10:00 to 11:00	Benjamin Doyon King's College London Conformal field theory out of equilibrium	Room 1
11:30 to 12:30	Alina Vdovina Newcastle University Buildings and C*-algebras	Room 1
13:30 to 14:30	Claus Kostler University College Cork An elementary approach to unitary representations of the Thompson group F	Room 1
14:30 to 15:30	Rolf Gohm Aberystwyth University Braids, Cosimplicial Identities, Spreadability, Subfactors	Room 1
16:00 to 17:00	Alexei Davydov Ohio University Modular invariants for group-theoretical modular data	Room 1

Friday 27th January 2017
10:00 to 11:00	Julia Plavnik Texas A&M University On gauging symmetry of modular categories	Room 1
11:30 to 12:30	Pinhas Grossman Algebras, automorphisms, and extensions of quadratic fusion categories	Room 1
13:30 to 14:30	Noah Snyder Indiana University Trivalent Categories	Room 1
14:30 to 15:30	Henry Tucker University of California, San Diego Eigenvalues of rotations and braids in spherical fusion categories	Room 1
16:00 to 17:00	David Penneys University of California, Los Angeles Operator algebras in rigid C*-tensor categories, part II	Room 1

Operator algebras: subfactors and their applications

Structure of operator algebras: subfactors and fusion categories

Organisers

David Evans Cardiff University
Masaki Izumi Kyoto University
Vaughan Jones

Speakers

Stephen Bigelow University of California, Santa Barbara
Arnaud Brothier
Alexei Davydov Ohio University
Benjamin Doyon King's College London
George Elliott University of Toronto; Cardiff University
Sam Evington University of Glasgow
Rolf Gohm Aberystwyth University
Pinhas Grossman
Alice Guionnet ENS - Lyon
Yusuke Isono Kyoto University
Corey Jones Australian National University
David Jordan University of Edinburgh
Claus Kostler University College Cork
David Penneys University of California, Los Angeles
Julia Plavnik Texas A&M University
Sorin Popa University of California, Los Angeles
Alexei Semikhatov Lebedev Physical Institute
Koichi Shimada Kyoto University
Dima Shlyakhtenko University of California, Los Angeles
Noah Snyder Indiana University
Henry Tucker University of California, San Diego
Stefaan Vaes KU Leuven
Alina Vdovina Newcastle University
Stuart White University of Glasgow
Wilhelm Winter Universität Münster

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Participants

Andreas Aaserud Cardiff University
Stephen Bigelow University of California, Santa Barbara
Arnaud Brothier
Alexei Davydov Ohio University
Sandipan De Indian Statistical Institute, Bangalore; Institute of Mathematical Sciences, Chennai
Benjamin Doyon King's College London
George Elliott University of Toronto; Cardiff University
David Evans Cardiff University
Sam Evington University of Glasgow
Terry Gannon University of Alberta
Rolf Gohm Aberystwyth University
Pinhas Grossman
Alice Guionnet ENS - Lyon
Leonard Hardiman University of Bath
Andre Henriques University of Oxford; Universiteit Utrecht
Stefano Iovieno Università degli Studi di Roma La Sapienza
Yusuke Isono Kyoto University
Corey Jones Australian National University
David Jordan University of Edinburgh
Yasu Kawahigashi University of Tokyo
Alastair King University of Bath
Claus Kostler University College Cork
Roberto Longo Università degli Studi di Roma Tor Vergata
Scott Morrison Australian National University
David Penneys University of California, Los Angeles
Julia Plavnik Texas A&M University
Mathew Pugh Cardiff University
Alexei Semikhatov Lebedev Physical Institute
Koichi Shimada Kyoto University
Dima Shlyakhtenko University of California, Los Angeles
Noah Snyder Indiana University
Frank Taipe Université de Caen Basse-Normandie
Henry Tucker University of California, San Diego
Stefaan Vaes KU Leuven
Alain Valette Université de Neuchâtel
Alina Vdovina Newcastle University
Jonas Wahl KU Leuven
Stuart White University of Glasgow
Wilhelm Winter Universität Münster
Shigeru Yamagami Nagoya University