Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras

Workshop theme

This workshop focuses on the interaction between subfactor theory and categorification or higher categories, higher geometry, functorial field theories, factorisation algebras, higher twists and higher pre-projective or almost Calabi-Yau algebras. The workshop will explore new connections and promote further investigations on these relationships.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras, where work on this paper was undertaken. This work was supported by EPSRC grant EP/K032208/1.

Timetable

Monday 27th March 2017
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from David Abrahams (INI Director)	No Room Required
10:00 to 11:00	Vaughan Jones Vanderbilt University; University of California, Berkeley The semicontinuous limit of quantum spin chains	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Gus Isaac Lehrer University of Sydney Semisimple quotients of Temperley-Lieb	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	N. Christopher Phillips University of Oregon Operator algebras on L^p spaces	Room 1
14:30 to 15:30	James Tener University of California, Santa Barbara A geometric approach to constructing conformal nets	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Thomas Schick Georg-August-Universität Göttingen Geometric models for twisted K-homology	Room 1
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 28th March 2017
10:00 to 11:00	Osamu Iyama Nagoya University Preprojective algebras and Calabi-Yau algebras	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Karin Erdmann University of Oxford Periodicity for finite-dimensional selfinjective algebras	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Alastair King University of Bath Quivers and CFT: preprojective algebras and beyond	Room 1
14:30 to 15:30	Mathew Pugh Cardiff University Frobenius algebras from CFT	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Joseph Grant University of East Anglia Higher preprojective algebras and higher zigzag algebras	Room 1

Wednesday 29th March 2017
09:00 to 10:00	Akhil Mathew Harvard University Polynomial functors and algebraic K-theory	Room 1
10:00 to 11:00	Paul Smith University of Washington A classification of some 3-Calabi-Yau algebras	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Raf Bocklandt Universiteit van Amsterdam Local quivers and Morita theory for matrix factorizations	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 17:00	Free Afternoon	No Room Required
19:30 to 22:00	Formal Dinner at Christ's College	No Room Required

Thursday 30th March 2017
10:00 to 11:00	Andre Henriques University of Oxford; Universiteit Utrecht Higher twisted K-theory a la Dadarlat and Pennig	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Ulrich Pennig Cardiff University Equivariant higher twisted K-theory	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Ulrich Bunke Universität Regensburg Homotopy theory with C*-categories	Room 1
14:30 to 15:30	Michael Murray University of Adelaide Real bundle gerbes	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Amihay Hanany Imperial College London tba	Room 1

Friday 31st March 2017
10:00 to 11:00	Katrin Wendland Albert-Ludwigs-Universität Freiburg Vertex Operator Algebras from Calabi-Yau Geometries	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Simon Gritschacher University of Oxford Coefficients for commutative K-theory	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Danny Stevenson University of Adelaide Pre-sheaves of spaces and the Grothendieck construction in higher geometry	Room 1
14:30 to 15:30	Yang-Hui He City University, London; University of Oxford Calabi-Yau volumes and Reflexive Polytopes	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required

Operator algebras: subfactors and their applications

Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras

Organisers

David Evans Cardiff University
Masaki Izumi Kyoto University
Vaughan Jones Vanderbilt University; University of California, Berkeley
Constantin Teleman University of Oxford

Speakers

Raf Bocklandt Universiteit van Amsterdam
Ulrich Bunke Universität Regensburg
Karin Erdmann University of Oxford
Joseph Grant University of East Anglia
Simon Gritschacher University of Oxford
Amihay Hanany Imperial College London
Yang-Hui He City University, London; University of Oxford
Andre Henriques University of Oxford; Universiteit Utrecht
Osamu Iyama Nagoya University
Vaughan Jones Vanderbilt University; University of California, Berkeley
Alastair King University of Bath
Gus Isaac Lehrer University of Sydney
Akhil Mathew Harvard University
Michael Murray University of Adelaide
Ulrich Pennig Cardiff University
N. Christopher Phillips University of Oregon
Mathew Pugh Cardiff University
Thomas Schick Georg-August-Universität Göttingen
Paul Smith University of Washington
Danny Stevenson University of Adelaide
James Tener University of California, Santa Barbara
Katrin Wendland Albert-Ludwigs-Universität Freiburg

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Participants

Andreas Aaserud Cardiff University
Ana Agore Vrije Universiteit Brussel; Institute of Mathematics of the Romanian Academy
Raf Bocklandt Universiteit van Amsterdam
Ulrich Bunke Universität Regensburg
Paramita Das Indian Statistical Institute, Kolkata
David Evans Cardiff University
Terry Gannon University of Alberta
Shamindra Ghosh Indian Statistical Institute, Kolkata
Joseph Grant University of East Anglia
Simon Gritschacher University of Oxford
Amihay Hanany Imperial College London
Leonard Hardiman University of Bath
Yang-Hui He City University, London; University of Oxford
Andre Henriques University of Oxford; Universiteit Utrecht
Robin Hillier
Osamu Iyama Nagoya University
Masaki Izumi Kyoto University
Vaughan Jones Vanderbilt University; University of California, Berkeley
Martin Kalck University of Edinburgh
Yasu Kawahigashi University of Tokyo
Alastair King University of Bath
Gus Isaac Lehrer University of Sydney
Timothy Logvinenko Cardiff University
Akhil Mathew Harvard University
Michael Murray University of Adelaide
Ulrich Pennig Cardiff University
N. Christopher Phillips University of Oregon
Mathew Pugh Cardiff University
Thomas Schick Georg-August-Universität Göttingen
Paul Smith University of Washington
Danny Stevenson University of Adelaide
Constantin Teleman University of Oxford
James Tener University of California, Santa Barbara
Alina Vdovina Newcastle University
Katrin Wendland Albert-Ludwigs-Universität Freiburg