Workshop on Operator Algebras and Applications: Non-Commutative Geometry

December 4 - 8, 2023, The Fields Institute

Location: Fields Institute, Room 230

Description

This workshop will explore current themes in noncommutative geometry, including topics that lie at the interfaces of noncommutative geometry with Riemannian geometry, sub-Riemannian geometry, mathematical physics, random matrix theory, representation theory, cyclic homology, number theory and arithmetic geometry. The workshop will feature Alain Connes' series of 3 Coxeter Lectures with the title From rings of operators to noncommutative geometry, as well as a minicourse of 3 lectures by Eckhard Meinrenken on Symplectic geometry of the moduli space of hyperbolic 0-metrics. In addition to plenary talks, time will be reserved early in the week for contributions from graduate students and other beginning researchers.

Some funding has been set aside to provide (modest) travel grants to young researchers who wish to participate in the meeting. Those seeking such funding should contact the organizers as soon as possible.

List of Plenary Speakers

Paolo Aschieri, University of Piemonte Orientale
Branimir Ćaćić, University of New Brunswick
Simone Cecchini, Texas A&M University
Alain Connes, IHES & Collège de France
Caterina Consani, Johns Hopkins University
Heath Emerson, University of Victoria
Giovanni Landi, Università degli Studi di Trieste
Eckhard Meinrenken, University of Toronto
Omar Mohsen, Université Paris-Saclay
Henri Moscovici, The Ohio State University
Markus Pflaum, University of Colorado Boulder
Yanli Song, Washington University in St. Louis
Karen Strung, Institute of Mathematics, Czech Academy of Sciences
Xiang Tang, Washington University in St. Louis
Boris Tsygan, Northwestern University
Raimar Wulkenhaar, University of Münster
Guoliang Yu, Texas A&M University

List of Short Talk Speakers

Michael Francis, Western University
Magnus Fries, Lund University
Satwata Hans, The Pennsylvania State University
Daniel Hudson, University of Toronto
Roberta Anna Iseppi, Georg-August-Universität Göttingen
Evelyn Yoczira Lira Torres, Queen Mary University of London
Kameron McCombs, Dartmouth College
Nathan Pagliaroli, Western University
Damien Tageddine, McGill University
Luuk Verhoeven

You can find all talk recordings here: https://www.youtube.com/playlist?list=PLArBKNfJxuum6xCTUag8Yso0wnN8ayESE

Schedule

Monday, December 4th, 2023
09:20 to 09:30	Opening Remarks Deirdre Haskell, The Fields Institute
09:30 to 10:20	Homotopical Foundations of Quantum Spin Systems Markus Pflaum, University of Colorado Boulder
10:30 to 11:00	Coffee Break
11:00 to 11:50	Realising quantum flag manifolds as graph C*-algebras Karen Strung, Institute of Mathematics, Czech Academy of Sciences
12:00 to 12:05	Group Photos
12:05 to 13:30	Lunch (On Your Own)
13:30 to 13:45	Properties of Dirac ensembles of (0,1) fuzzy geometries in the presence of a fermion Luuk Verhoeven
13:50 to 14:05	The critical behavior of ensembles of fuzzy spectral triples Nathan Pagliaroli, Western University
14:15 to 14:45	Coffee Break
14:45 to 15:00	The Batalin-Vilkovisky formalism in NCG: a brief overview Roberta Anna Iseppi, University of Goettingen
15:05 to 15:20	Scalable Operators with Coefficients in a $C^*-$Algebra Satwata Hans, The Pennsylvania State University
15:25 to 15:40	On deformation spaces of Lie groupoids Daniel Hudson, University of Toronto
16:00 to 16:50	[Coxeter Lecture Series: Alain Connes] Lecture 01 \| From rings of operators to noncommutative geometry Alain Connes, IHES and Collège de France
17:00 to 18:30	Reception \| Coxeter Lecture Series: Alain Connes

Tuesday, December 5th, 2023
09:30 to 10:20	Large time behavior of Laplacians on symmetric spaces Yanli Song, Washington University in St. Louis
10:30 to 11:00	Coffee Break
11:00 to 11:50	Lecture 01 \| Symplectic geometry of Teichmueller spaces for surfaces with boundary Eckhard Meinrenken, University of Toronto
12:00 to 13:30	Lunch (On Your Own)
13:30 to 13:45	Geometric Realisation of Spectral Triples on $M_2 (\mathbb{C})$ Evelyn Yoczira Lira Torres, Queen Mary University of London
13:50 to 14:05	f-Continuous Operators on $B(L^2M)$ and the Families Index Kameron McCombs, Dartmouth College
14:15 to 14:45	Coffee Break
14:45 to 15:00	Relative $K$-homology of higher-order differential operators Magnus Fries, Lund University
15:05 to 15:20	Spectral triples on the Berkovich line Damien Tageddine, McGill University
15:25 to 15:40	The Newlander-Nirenberg theorem in b-geometry Michael Francis, Western University
16:00 to 16:50	Helton-Howe Trace, Connes-Chern Character, and Quantization Xiang Tang, Washington University in St. Louis

Wednesday, December 6th, 2023
09:30 to 10:20	[Coxeter Lecture Series: Alain Connes] Lecture 02 \| From rings of operators to noncommutative geometry Alain Connes, IHES and Collège de France
10:30 to 11:00	Coffee Break
11:00 to 11:50	Absolute Riemann-Roch for $\mathbb{Q}$; Rings of $\mathbb{S}[\mu_{n}]$-polynomials Caterina Consani, Johns Hopkins University
12:00 to 13:30	Lunch (On Your Own)
13:30 to 14:20	On Atiyah sequences of braided Lie algebras and their splittings Giovanni Landi, Università degli Studi di Trieste
14:30 to 15:00	Coffee Break
15:00 to 15:50	Lecture 02 \| Symplectic geometry of Teichmueller spaces for surfaces with boundary Eckhard Meinrenken, University of Toronto
16:00 to 16:50	Noncommutative principal bundles on projective bases and their differential calculi Paolo Aschieri, University of Piemonte Orientale

Thursday, December 7th, 2023
09:30 to 10:20	On maximally hypoelliptic differential operators Omar Mohsen, Université Paris-Saclay
10:30 to 11:00	Coffee Break
11:00 to 11:50	Lecture 03 \| Symplectic geometry of Teichmueller spaces for surfaces with boundary Eckhard Meinrenken, University of Toronto
12:00 to 13:30	Lunch (On Your Own)
13:30 to 14:20	The Euler operator and minimal dynamics Heath Emerson, University of Victoria
14:30 to 15:00	Coffee Break
15:00 to 15:50	Metric inequalities with positive scalar curvature Simone Cecchini, Texas A&M University
16:00 to 16:50	Quantitative operator K-theory, positive scalar curvature and filling radius Guoliang Yu, Texas A&M University

Friday, December 8th, 2023
09:30 to 10:20	[Coxeter Lecture Series: Alain Connes] Lecture 03 \| From rings of operators to noncommutative geometry Alain Connes, IHES and Collège de France
10:30 to 11:00	Coffee Break
11:00 to 11:50	Semilocal adelic prolate operators and stable Sonin spaces Henri Moscovici, The Ohio State University
12:00 to 13:30	Lunch (On Your Own)
13:30 to 14:20	Nonlinear cyclic homology and algebraic K-theory Boris Tsygan, Northwestern University
14:30 to 15:00	Coffee Break
15:00 to 15:50	Quantum fields on noncommutative geometries Raimar Wulkenhaar, University of Münster
16:00 to 16:50	Quantum principal $\mathrm{U}(1)$-bundles: differential, Riemannian, and metric geometry Branimir Ćaćić, University of New Brunswick

Registered Participants

Name	Affiliation
James Abello	Rutgers University
Lekan Adesina	Obafemi Awolowo University
Toluwalope Adeti-Toyo	University of Ibadan
Meltem Altun Özarslan	Hacettepe University
Zahra Amiri	Ferdowsi University of Mashhad
Anshu Anshu	The Fields Institute
Leandro Arcos Roman	Amherst College
M. Ali Asadi-Vasfi	University of Toronto
Mohammad Sadegh Asgari	Central Tehran Branch, Islamic Azad University,
Ahmed Ashraf	University of Toronto
Aranya Bal	Indian Statistical Institute, Kolkata
UMAR BASHIR	ASPIRE COLLEGE, MIPRUR AJK
Daniel Beltita	Institute of Mathematics "Simion Stoilow" of the Romanian Academy
Shivam Bhatt	University of Toronto
Yuly Billig	Carleton University
Francis Bischoff	University of Regina
Berndt Brenken	University of Calgary
Adam Brown	UTS
Geoffrey Brown	Toronto Metropolitan University
Arthur Bruet	ESC SFA
Branimir Ćaćić	University of New Brunswick
Jacob Canel	The Pennsylvania State University
Fernando Carvalho
Jorge Castillejos	Universidad Nacional Autónoma de México
Omar Cayley	University of Ottawa
Simone Cecchini	Texas A&M University
Prasoon Chakraborty	Lomonosov Moscow State University
Tsz Kin Chan	Hong Kong University of Science and Technology
Ian Charlesworth	Cardiff University
Yujia Cheng	University of Toronto
Seongjun Choi
Arghya Chongdar	Indian Statistical Institute, Bangalore
Caterina Consani	Johns Hopkins University
Ludwik Dabrowski	SISSA
Shantanu Dave	University of Vienna
Kenneth Davidson	University of Waterloo
Andrew Dean	Lakehead University
Robin Deeley	University of Colorado Boulder
Repana Devendra	IIT Madras
Shanna Dobson	University of California, Riverside
Patrick Donaghue	The Pennsylvania State University
Chris Duston	Merrimack College
SAURABH DHAR DWIVEDI	University of Delhi
Marta Eiver
George Elliott	University of Toronto
Florian Enescu	Georgia State University
Malors Espinosa	University of Toronto
Ilijas Farah	York University
Rita Fioresi	University of Bologna
Felipe Flores	University of Virginia
Mario Flores	University of Bologna
Alain Lionel Fogang Takoutsing	University of Louisiana at Lafayette
Michael Francis	Western University
Patrick Fraser	University of Toronto
Magnus Fries	Lund University
Stefan Frunza	University of Waterloo
Xuanlong Fu	The Fields Institute
Sita Gakkhar	California Institute of Technology
Kris Ganjam	University of Waterloo
Mazyar Garmaki	University
Dylan Gawlak	Queen's University
Marcello Ghini Bettiol	University of Toronto
Mainak Ghosh	Indian Statistical Institute, Kolkata
Thierry Giordano	University of Ottawa
Gavin Goerke	University of Victoria
XAVIER gomez mont	Centro de Investigación en Matemáticas.(CIMAT)
Juan Esaul Gonzalez Rangel	Centro de Investigación en Matemáticas.(CIMAT)
Atul Pralhad Gothe	University of Warsaw
Pouyan Goudarzi	York University
Marco Gualtieri	University of Toronto
Manyi Guo	Lehigh University
Piotr M. Hajac	IMPAN
Jefrey Halliwell	University of Sri Jayewardenepura
Satwata Hans	The Pennsylvania State University
Kamyar Hazaveh	University of Toronto
Abner Hernandez Rodriguez	Lomonosov Moscow State University
Nigel Higson	The Pennsylvania State University
Daniel Hudson	University of Toronto
Fei Hu	Nanjing University
Rong Hu	UPEI
Augustin Ionescu	Imperial College London
Patrick Ion	Mathematical Reviews, AMS
Roberta Anna Iseppi	University of Goettingen
Cristian Ivanescu	MacEwan University
Calvin Jackson	University of Wyoming
Manan Jain	Jamia Millia Islamia
Debabrata Jana	Indian Institute of Technology, Kanpur
Lisa Jeffrey	University of Toronto
David Jekel	The Fields Institute
Kukkeprasanna J	Indian Institute of Science Bengaluru
Farangis Johari	University of Sao Paulo
Elias Judin	University of Cape Town
Byung-Jay Kahng	Canisius College
Prem Kar	Technical University of Denmark
Ajay Kumar Karri	Texas A&M University
S.M.B. Kashani	Tarbiat Modares University
Aaron Kettner	Institute of Mathematics of the Czech Academy of Sciences
Mahmoud Khaled	AIMS South Afica
Ahmadreza Khazaeipoul	University of Toronto
Askold Khovanskii	University of Toronto
Hanse Kim
Hyunmoon Kim	University of Toronto
Atsushi Kinoshita
Vishnu Kizhakkeadathu Sankarankutty	University of Münster
Wonbong Koh	Koh Capital Management
Olaf Kołodziejski	University of Gdańsk
Manish Kumar	Institute of Mathematics, PAN
Marcelo Laca	University of Victoria
Jeffrey Lagarias	University of Michigan
Arvin Lamando	University of Vienna
Giovanni Landi	Università degli Studi di Trieste
Bianca Lane
Joswin Nilesh Lasrado	Indian Institute of Technology Palakkad
Joshua Lau	University of Toronto
Paul Le Breton	ENS Paris-Saclay
Jason Levy
Zhaoxiang Lin	University of Toronto
Evelyn Yoczira Lira Torres	Queen Mary University of London
Hanwen Liu	University of Warwick
ARCELINO LOBATO	Institute for Pure and Applied Mathematics (IMPA)
Yiannis Loizides	George Mason University
Cynthia Ma
Thomas Magnuson	University of Wyoming
Gahin Maiti	Indian Statistical Institute, Bangalore
Joseph Malkoun	Tithe.ly
Malay Mandal	Chennai Mathematical Institute
Kenneth Manders	University of Pittsburgh
Antonio Marquina	University of Valencia
Martin Mathieu	Queen's University Belfast
Junichiro Matsuda	Kyoto University
AASHISH KUMAR MAURYA	IIT Goa
Xin Ma	The Fields Institute
Kameron McCombs	Dartmouth College
Eckhard Meinrenken	University of Toronto
Jonadab Nkemdilim Mekwunye	Benevolent Technical Senior Secondary School
Iuliia (Yulia) Meshkova
Dimiter Minev
James Mingo	Queen's University
SAMIK MITRA	Carleton University
Akihiro Miyagawa	Kyoto University
Omar Mohsen	Université Paris-Saclay
Mohammad Sadegh Mojahedi Moakhar	Tarbiat Modares University
Mehdi Moradi	The Fields Institute
Henri Moscovici	The Ohio State University
Volodymyr Mykhailovskyi	University of Ottawa
Adrian Nachman	University of Toronto
Mahsa Naraghi	Université Paris Cité
Sarada Anoushka Nerella Kameswari Umamaheshwari	University of Colorado Boulder
Igor Nikolaev	St. John's University, Staten Island, NY
Per Nilsson
Zhuang Niu	University of Wyoming
ISLAM MAHMOUD MOHAMMAD ODEH	Technical For Engineering Industries
Daniel Offin	Queen's University
Onur Oktay	Usak University
Blessing Oni	The Fields Institute
Dolapo Oyetunbi	University of Ottawa
Nathan Pagliaroli	Western University
Leonard Paleta	University of Southern Mindanao
Jason Palin	McMaster University
Nikolaos Panagopoulos	University of Houston
Anurag Patel	Banaras Hindu University
Aminatou Pecha	National advanced school of engineering of Maroua, University of Maroua, Cameroon
Zach Pence	University of Wyoming
Luke Pereira	University of Toronto
Markus Pflaum	University of Colorado Boulder
N. Christopher Phillips	University of Oregon
Jennifer Pi	University of California, Irvine
Raphaël Ponge	Sichuan University
Emil Prodan	Yeshiva University
Dhanusshya Raghu	RIASM, University of Madras
Finlay Rankin	Carleton University
Antonio Rieser	Centro de Investigación en Matemáticas, A.C.
Muhammad Rizwan	Assistant Education officer wazirabad
Michael Rosbotham	University of Maine
Jared Rosenblitt
Suvadeep Roy	Baylor University
Rahul Kumar R	Indian Institute of Technology, Kanpur
Arthur Ryman	Toronto Metropolitan University
Hesham Saadawi	Algonquin College
Moises Saez-Beltrán	Hospital La Paz
Pawel Sarkowicz	University of Waterloo
Christopher Schafhauser	University of Nebraska-Lincoln
Tyler Schulz	University of Victoria
Paul Selick	University of Toronto
Anya Selleck
Saqib Mushtaq Shah	Indian Statistical Institute, Bangalore
Ionut Simon	University POLITEHNICA of Bucharest
Gurnoor Singh
John Small	University of Wyoming
Yanli Song	Washington University in St. Louis
Ben Sorowen	Moi University
Nicholas Stroughair	PSU
Damien Tageddine	McGill University
Wai Shing Tang
Xiang Tang	Washington University in St. Louis
Adebolu Temitope	Federal University of Technology, Akure
Hannes Thiel	Chalmers University of Technology and University of Gothenburg
Kevin Thompson	Sandia National Laboratories
Minjie Tian	Kyoto University
Thomas Tony	University of Münster
Lawrence Tsai	University of Toronto
Bena Tshishiku	Brown U
Yannic Vargas	Institut für Diskrete Mathematik
Abhijeet Vats	Lund University
Denise Vella-Chemla	Education Nationale France
Luuk Verhoeven
Eduard Vilalta	The Fields Institute
Maria Grazia Viola	Lakehead University
Dan-Virgil Voiculescu	University of California Berkeley
Matthew Wiersma	University of Winnipeg
Raimar Wulkenhaar	University of Münster
Hiroyuki Yamane	University of Toyama
Evan Young	University of Waterloo
Guoliang Yu	Texas A&M University
Yaoliang Yu	University of Waterloo
Ahmed Zawia	University of Waterloo
Cong Zhou
Jerry Zhou
Shuheng Zhou	University of California, Riverside
Tianyi Zhou	University of Ottawa
Nahum Zobin	College of William and Mary
Andrzej Zuk	Université Paris Cité