Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory

June 13 - 17, 2022, Western University

Location: Western University

Description

Topological recursion is a method for counting maps of a certain topology using only planar maps. The theory arose from work in 2D quantum gravity and the discovery that matrix integrals are related to maps on surfaces. These matrix integrals also appear in models of quantum gravity on noncommutative spaces and in quantum field theories on these spaces. The same matrix integrals arise in free probability and recent work has shown a surprising connection between higher order free independence and maps on surfaces of positive genus.

This workshop will bring together a group of researchers working in noncommutative geometry (NCG), free probability theory (FPT) and random matrix theory (RMT) to foster collaboration in an emerging area of research that is at the intersection of these three fields.

Mini courses

Gaetan Borot (Humboldt University, Berlin): Asymptotics of matrix integrals and topological recursion.

James Mingo (Queens, Canada): Free independence of random variables

Raimar Wulkenhaar (Muenster, Germany): How topological recursion organises quantum fields on noncommutative geometries

This conference will be in hybrid format. All talks will be broadcast on zoom. To access the talks please register free of charge using the link below or in the sidebar.

Hotel Options for In-Person Attendees

Spencer Leadership Centre

Address: 551 Windermere Road, London, ON N5X 2T1 (2.6 km from math department)
Rate: $149 per room/per night + tax
Phone reservations: call 519 679 4546/519 675 5487.
Website: www.iveyspencerleadershipcentre.com

The Guest House on the Mount

Address: 1480 Richmond Street - Ignatia Hall, London, Ontario N6G 0J4 (2 km from math department)
Rates: $89 per room/per night + tax (Full Bathroom Suits)
Reservations: 519 641 8100/1 855 806 0186
Website: https://guesthouseonthemount.ca/

Summer Accommodation-Brescia University College

Address: 1285 Western Road, London, Ontario, Canada N6G 1H2 (1 km from math department)
Rates: from $84 per night (Single Queen Bed (private)
For Reservation: 519.432.8353
Website: https://brescia.uwo.ca/conferences/summer_accommodations.php

The Park Hotel London

Address: 242 Pall Mall Street, London, ON N6A 5P6 (4.9 km from math department)
Rates: from $170 (Lifestyle Accessible Queen Suite Non-Smk)
For reservations: 519642444/18005614574
Website: www.parkhotelsuites.com

How to get to London from Pearson airport:

Here are some following options to travel from Pearson airport in Toronto (the only international airport in Toronto) to London Ontario:

"Robert Q" shuttle buses: (price: $79)

This is the most convenient and frequent option. The regular trip to London is about 2 hours and their 24/7 station is located at the lower floors of Pearson airport.
Note that you can arrange your drop off location to be your Hotel in London while booking your shuttle; They may charge you extra for this option.

OnexBus: (starts at $30)

This is the less expensive option, though their buses may have less frequent schedules and may take longer to take you to London (must be carefully chosen while booking the ticket). Your arrival point on London is best to be chosen at "VIA Rail" train station. Then you take a taxi to your Hotel.

Connection flight:

While booking your flight, you can book a flight with the destination as London International Airport YXU. You will then have a domestic connection flight from Pearson Airport to London Airport. However, for such as short flight (about 45 minutes) to London, you may need to stay at the airport sometimes more than 4 hours.

Registration Instruction:

Please register here.

Schedule

Monday, June 13th, 2022
09:00 to 10:00	How topological recursion organises quantum fields on noncommutative geometries Raimar Wulkenhaar, University of Münster
10:00 to 10:30	Coffee break
10:30 to 11:30	Free Independence of Random Variables James Mingo, Queen's University
11:30 to 12:30	On the $x$-$y$ symmetry in Topological Recursion via loop insertion operator Alexander Hock, University of Oxford
12:30 to 14:00	Lunch
14:00 to 15:00	Quantum gravity from integration over Dirac ensembles John Barrett, University of Nottingham
15:00 to 15:30	Coffee break
15:30 to 16:30	Blobbed Topological Recursion for Dirac Ensembles Shahab Azarfar, University of Virginia
16:30 to 17:30	Tutorial for the 2nd Mini-course Pei-Lun Tseng, New York University in Abu Dhabi

Tuesday, June 14th, 2022
09:00 to 10:00	How topological recursion organises quantum fields on noncommutative geometries Raimar Wulkenhaar, University of Münster
10:00 to 10:30	Coffee break
10:30 to 11:30	Free Independence of Random Variables James Mingo, Queen's University
11:30 to 12:30	Second Order Cumulants: Second order even elements and $R$-diagonal elements Octavio Arizmendi Echegaray, CIMAT
12:30 to 14:00	Lunch
14:00 to 15:00	A triple duality: simple, symplectic and free Elba Garcia-Failde, Institut de Mathématiques de Jussieu-Paris Rive Gauche
15:00 to 15:30	Coffee break
15:30 to 16:30	On the number of components of a random meandric system Alexandru Nica, University of Waterloo
16:30 to 17:30	Tutorial for ''How topological recursion organises quantum fields on noncommutative geometries'' Alexander Hock, University of Oxford

Wednesday, June 15th, 2022
09:00 to 10:00	How topological recursion organises quantum fields on noncommutative geometries Raimar Wulkenhaar, University of Münster
10:00 to 10:30	Coffee break
10:30 to 11:30	Free Independence of Random Variables James Mingo, Queen's University
11:30 to 12:30	Asymptotics of matrix integrals and topological recursion Gaetan Borot, Humboldt University of Berlin
12:30 to 14:00	Lunch
14:00 to 15:00	Seeing a spectral triple L Glaser, University of Vienna
15:00 to 15:30	Coffee break
15:30 to 16:30	Topological expansion of oscillatory BGW and HCIZ integrals Jonathan Novak, University of California, San Diego

Thursday, June 16th, 2022
09:00 to 10:00	The tensor Harish-Chandra–Itzykson–Zuber integral and entanglement detection in multipartite quantum systems Razvan Gurau, University of Heidelberg
10:00 to 10:30	Coffee break
10:30 to 11:30	Asymptotics of matrix integrals and topological recursion Gaetan Borot, Humboldt University of Berlin
11:30 to 12:30	Combinatorial algebraic remarks on Dirac ensembles and related matrix models Carlos I. Perez Sanchez, University of Heidelberg
12:30 to 14:00	Lunch
14:00 to 15:00	Properties of Dirac ensembles and the double scaling limit Nathan Pagliaroli, Western University
15:00 to 15:30	Coffee break
15:30 to 16:30	Bootstrapping Dirac Ensembles Hamed Hessam, Western University

Friday, June 17th, 2022
09:00 to 10:00	Centered Weingarten calculus and centered Wick calculus Benoît Collins, Kyoto University
10:00 to 10:30	Coffee break
10:30 to 11:30	Third order cumulants of complex Wigner matrices. Daniel Munoz, Queen's University
11:30 to 12:30	Asymptotics of matrix integrals and topological recursion Gaetan Borot, Humboldt University of Berlin
12:30 to 14:00	Lunch
14:00 to 15:00	Homological methods in random noncommutative geometry Hans Nguyen, University of Nottingham
15:00 to 15:30	Coffee break
15:30 to 16:30	Topological expansion for $\beta$ random matrices Emily Redelmeier

Invited Speakers

Name	Affiliation
Octavio Arizmendi Echegaray	CIMAT
Shahab Azarfar	University of Virginia
John Barrett	University of Nottingham
Gaetan Borot	Humboldt University of Berlin
Benoît Collins	Kyoto University
Elba Garcia-Failde	Institut de Mathématiques de Jussieu-Paris Rive Gauche
James Gaunt	University of Nottingham
L Glaser	University of Vienna
Razvan Gurau	University of Heidelberg
Hamed Hessam	Western University
Alexander Hock	University of Oxford
James Mingo	Queen's University
Alexandru Nica	University of Waterloo
Jonathan Novak	University of California, San Diego
Nathan Pagliaroli	Western University
Carlos I. Perez Sanchez	University of Heidelberg
Emily Redelmeier
Raimar Wulkenhaar	University of Münster

Registered Participants

Name	Affiliation
Jarrod Abbott	Fitchburg State University
Adam Afandi	WWU Münster
Octavio Arizmendi Echegaray	CIMAT
Shahab Azarfar	University of Virginia
John Barrett	University of Nottingham
Babak Beheshti	Western University
Gaetan Borot	Humboldt University of Berlin
Jacob Campbell	University of Waterloo
Adrian Celestino Rodriguez	Norwegian University of Science and Technology
Benoît Collins	Kyoto University
Miles Collins	UNSW Sydney
Jeff Crouch
Daniel Czapski	University of New South Wales
Ludwik Dabrowski	SISSA
Kurusch Ebrahimi-Fard	Norwegian University of Science and Technology
George Elliott	University of Toronto
Michele Finelli	BioDec
Michael Francis	Western University
Xuanlong Fu	University of Toronto
Elba Garcia-Failde	Institut de Mathématiques de Jussieu-Paris Rive Gauche
Asghar Ghorbanpour	Western University
L Glaser	University of Vienna
Andrey Glubokov	Purdue University
Razvan Gurau	University of Heidelberg
Itamar Halevy
Hamed Hessam	Western University
Alexander Hock	University of Oxford
Meng Hsuan Hsieh	University of Michigan, Ann Arbor
David Hui	Hong Kong University of Science and Technology
Ahmed JEDDI	University of Lorraine
Jorge Jurado Soto	Chabot College
Jerry Kaminker	University of California Davis
Atsushi Katsuda	Kyushu University
Masoud Khalkhali	Western University
Ken Kim	Lawrence Livermore National Laboratory
Arundhathi Krishnan	University of Waterloo
Thomas Laird	University of Nottingham
Luca Lionni	Universität Heidelberg
Rusen Li	Shandong University
Xiaobin Li	Southwest Jiaotong University
Yifan Li	Western University
James Mingo	Queen's University
Daniel Munoz	Queen's University
Alexander Nagen	University of Nottingham
Hans Nguyen	University of Nottingham
Alexandru Nica	University of Waterloo
GILLIERS NICOLAS	IMT
Jonathan Novak	University of California, San Diego
Nathan Pagliaroli	Western University
Aaradhya Pandey	Princeton University
Zachary Pence	University of Wyoming
Daniel Perales	University of Waterloo
Carlos I. Perez Sanchez	University of Heidelberg
Som Phene	University of Michigan, Ann Arbor
Raphael Ponge	Sichuan University
Venkateshwar Ragavan	University of Illinois at Chicago
Farrokh Razavinia	University of Porto
Emily Redelmeier
Thomas Scheckter	University of New South Wales
Kumar Sannidhya Shukla	Western University
Farshid Soltani	Western University
Antoine Song	University of California Berkeley
Mohabat Tarkeshian	Western University
Juraj Tekel	Comenius University, Bratislava
Pei-Lun Tseng	New York University in Abu Dhabi
Yannic Vargas	Weierstrass Institute for Applied Analysis and Stochastics
Luuk Verhoeven	Western University
Francesca Vidotto	Western University
JC Wang	University of Saskatchewan
Jinzhao Wang	ETH Zürich
KUN WANG	Texas A&M University
Adam Wegert	AGH University of Science and Technology
Alexander Wright	University of Michigan
Chutong Wu	University of California, Davis
Raimar Wulkenhaar	University of Münster
Ian Xu
Ping Zhong	University of Wyoming

The Fields Institute for
Research in Mathematical Sciences

Workshop on Noncommutative Geometry, Free Probability Theory and Random Matrix Theory

Description

Sponsors

Hotel Options for In-Person Attendees

Spencer Leadership Centre

The Guest House on the Mount

Summer Accommodation-Brescia University College

The Park Hotel London

How to get to London from Pearson airport:

Schedule

Invited Speakers

Registered Participants

Organizing Committee

Staff Contact

People and Contacts

Calendar and Events