Cyclic Cohomology at 40: achievements and future prospects

September 27 - October 1, 2021, The Fields Institute

Location: Online

Description

Cyclic Cohomology Theory Inventor, Dr. Alain Connes - Vote of Thanks

The year 2021 will mark the 40th anniversary of the discovery and development of Cyclic Cohomology Theory by Alain Connes. Its further flourishing fostered by many mathematicians including Dan Quillen, Jean Louis Loday, Boris Tsygan, Boris Feigin, Joachim Cuntz, Ib Madsen, Max Karoubi, and many others has brought a remarkable development of the subject in many distinct directions, in particular in global analysis, representation theory and index theory, algebraic K-theory and cyclotomic trace maps, arithmetic geometry and mathematical physics. The goal of this meeting will be to bring top experts from around the world to lecture on the state of the art in the field, to look towards the future and discuss the most pressing current open problems in the field.

Schedule

All talks will be alotted 50 minutes, plus an additional 10 minutes for questions and answers. Please see details below.

Registration Instruction:

Schedule

Monday, September 27th, 2021
09:00 to 10:00	Two backbones of the cyclic theory Alain Connes, IHES
10:00 to 11:00	Cyclic cohomology and higher invariants of elliptic differential operators Guoliang Yu, Texas A&M University
11:00 to 12:00	Rigidity of periodic cyclic complexes and Getzler's Gauss-Manin connection over the p-adics Boris Tsygan, Northwestern University
12:00 to 13:00	Lunch
13:00 to 14:00	Pushing cyclic cocycles over Sobolev domains and the extraordinary consequences for materials science Emil Prodan, Yeshiva University
14:00 to 15:00	Applications of topological cyclic homology in algebraic K-theory Bjorn Ian Dundas, University of Bergen
15:00 to 16:00	Cyclic Cohomology for Proper Lie Group Actions Xiang Tang, Washington University in St. Louis
16:00 to 17:00	Proper action of Lie groups, cyclic cohomology and index theory Paolo Piazza, Sapienza Universita' di Roma

Tuesday, September 28th, 2021
09:00 to 10:00	Local index formula in Noncommutative Geometry and Hopf-cyclic cohomology Henri Moscovici, The Ohio State University
10:00 to 11:00	Topological cyclic homology and the Fargues-Fontaine curve Lars Hesselholt, Nagoya University and University of Copenhagen
11:00 to 12:00	Hopf cyclic cohomology Masoud Khalkhali, Western University
12:00 to 13:00	Lunch
13:00 to 14:00	Real K-theories Max Karoubi, Université Paris 7
15:00 to 16:00	Nonarchimedean Analytic Cyclic Homology Guillermo Cortiñas, IMAS, UBA-CONICET
16:00 to 17:00	No Title Specified Mariusz Wodzicki, University of California

Wednesday, September 29th, 2021
09:00 to 10:00	NCG and universal arithmetic Caterina Consani, Johns Hopkins University
10:00 to 11:00	On Perrot’s index cocycles Nigel Higson, Penn State University, Greater Allegheny
11:00 to 12:00	Localization and cyclic homology of crossed products with algebraic groups Victor Nistor, Université de Lorraine
12:00 to 13:00	Lunch
13:00 to 14:00	Cyclic cocycles in the spectral action and one-loop corrections Walter van Suijlekom, Radboud University Nijmegen
14:00 to 15:00	On convolution algebras attached to hyperbolic groups Michael Puschnigg, Université d'Aix-Marseille
15:00 to 16:00	The Heisenberg calculus and cyclic cohomology. Alexander Gorokhovsky, University of Colorado

Thursday, September 30th, 2021
09:00 to 10:00	Quantum differentiation and integration for the quantum plane Fedor Sukochev, University of New South Wales
10:00 to 11:00	The close relation between K theory and TC theory Dustin Clausen, University of Copenhagen
11:00 to 12:00	Local Index Formulae, Trace Expansions, and Noncommutative Residues on an Algebra of Fourier Integral Operators Elmar Schrohe, Leibniz Universität Hannover
12:00 to 13:00	Lunch
13:00 to 14:00	Spectral algebras and non-commutative Hodge-to-de Rham Degeneration Dmitry Kaledin, Steklov Mathematical Institute of Russian Academy of Sciences
14:00 to 15:00	Trace methods in algebraic K-theory David Gepner, Johns Hopkins University
15:00 to 16:00	Analytic cyclic homology Ralf Meyer, University of Göttingen
16:00 to 17:00	The Hochschild Cohomology of Uniform Roe Algebras Matthew Lorentz, Michigan State University

Friday, October 1st, 2021
09:00 to 10:00	Connes character formula for locally compact spectral triples Dmitriy Zanin, University of New South Wales
10:00 to 11:00	A short proof of the Feigin-Tsygan theorem Joachim Cuntz, WWU Münster
11:00 to 12:00	On the Hochschild homology of convolution algebras of proper Lie groupoids Markus Pflaum, University of Colorado Boulder
12:00 to 13:00	Lunch
13:00 to 14:00	Polynomially Bounded Cohomology and Virtually Nilpotent Groups Sheagan John, Texas A&M University
14:00 to 15:00	Cyclic cohomology and Topological K-theory for discrete groups, the Chern-Baum-Connes pairing formula Paulo Carrillo Rouse, Institut de Mathématiques de Toulouse
15:00 to 16:00	Cyclic homology and group actions on manifolds. Raphael Ponge, Sichuan University

Invited Speakers

Name	Affiliation
Paulo Carrillo Rouse	Institut de Mathématiques de Toulouse
Dustin Clausen	University of Copenhagen
Alain Connes	IHES
Caterina Consani	Johns Hopkins University
Guillermo Cortiñas	IMAS, UBA-CONICET
Joachim Cuntz	WWU Münster
Bjorn Ian Dundas	University of Bergen
David Gepner	Johns Hopkins University
Alexander Gorokhovsky	University of Colorado
Lars Hesselholt	Nagoya University and University of Copenhagen
Nigel Higson	Penn State University, Greater Allegheny
Sheagan John	Texas A&M University
Dmitry Kaledin	Steklov Mathematical Institute of Russian Academy of Sciences
Max Karoubi	Université Paris 7
Masoud Khalkhali	Western University
Matthew Lorentz	Michigan State University
Ralf Meyer	University of Göttingen
Henri Moscovici	The Ohio State University
Ryszard Nest	Copenhagen University
Victor Nistor	Université de Lorraine
Markus Pflaum	University of Colorado Boulder
Paolo Piazza	Sapienza Universita' di Roma
Raphael Ponge	Sichuan University
Emil Prodan	Yeshiva University
Michael Puschnigg	Université d'Aix-Marseille
Bahram Rangipour	University of New Brunswick
Elmar Schrohe	Leibniz Universität Hannover
Fedor Sukochev	University of New South Wales
Xiang Tang	Washington University in St. Louis
Boris Tsygan	Northwestern University
Walter van Suijlekom	Radboud University Nijmegen
Mariusz Wodzicki	University of California
Guoliang Yu	Texas A&M University
Dmitriy Zanin	University of New South Wales

Registered Participants

Name	Affiliation
Adib Abdollahi	Université Paris-Saclay
Alexandre Afgoustidis	Université de Lorraine
Zahraa Al-Ahmad	The Fields Institute
James Allan	1193541 Ontario Inc.
Bernd Ammann	Universität Regensburg
Faidon Andriopoulos	University of Chicago
Cédric ARHANCET	ALBI
Francesca Arici	Leiden University
Anne-Marie Aubert	Centre national de la recherche scientifique (CNRS)
Ryan Aziz	Universitas Prasetiya Mulya
Mamta Balodi	Indian Statistical Institute, Bangalore
Hengda Bao	University
Babak Beheshti	Western University
Jean Bellissard	WWU Münster
Oren Ben-Bassat	University of Haifa
James Berman	Sfsu
Paolo Bertozzini	Thammasat University
Soren Beygi	Sharif University of Technology
SHANTANU BHAUMIK	Dr.C.V.Raman University
Majid Bigdeli	University of Warsaw
Boris Bilich	University HSE, Moscow
Jonathan Block	University of Pennsylvania
Dorin Boger
Dennis Borisov	University of Windsor
Guido Bosco	Institut de Mathématiques de Jussieu-Paris Rive Gauche
Maxim Braverman	Northeastern University
Kevin Aguyar Brix	University of Glasgow
Jacek Brodzki	University of Southampton
Tomasz Brzezinski	Swansea University
Aleksei Bykov	University of Rome Tor Vergata
Paulo Carrillo Rouse	Institut de Mathématiques de Toulouse
Sayan Chakraborty	Indian Statistical Institute, Bangalore
chengang	NUAA
Jiaming Chen	IECL
Sheng Chen	Harbin Institute of Technology
Zihong Chen	Massachusetts Institute of Technology
Erik Christensen	University of Copenhagen
YeongChyuan Chung	Leiden University
Nicola Ciccoli	University of Perugia
Pascal Ciot	Institut de Mathématique de Marseille
ckng	Nankai University
Dustin Clausen	University of Copenhagen
Alain Connes	IHES
Caterina Consani	Johns Hopkins University
Alessandro Contini	Leibniz Universität Hannover
Roberto Conti	Sapienza University of Rome
Guillermo Cortiñas	IMAS, UBA-CONICET
John Alexander Cruz Morales	Universidad Nacional de Colombia
Joachim Cuntz	WWU Münster
Ludwik Dabrowski	SISSA
Valentin Deaconu	University of Nevada
Andrew Dean	Lakehead University
Rob de Jeu	Vrije Universiteit Amsterdam
Jintao Deng	University of Waterloo
Rui Dong	Radboud University
Bjorn Ian Dundas	University of Bergen
George Elliott	University of Toronto
Eugenia Ellis	Facultad de Ingeniería - UDELAR
Floris Elzinga	University of Oslo
Eske Ewert	Leibniz Universität Hannover
Xiaochun Fang	Tongji University
Carla Farsi	University of Colorado
Yue Feng	Tsinghua University
James Fennell
Gaetano Fiore	Università degli Studi di Napoli "Federico II"
Chi-Kwong Fok	New York University Shanghai
Michael Francis	Western University
Xuanlong Fu	University of Toronto
Jeremy Gamble	Western University
David Gepner	Johns Hopkins University
Ezra Getzler	Northwestern University
Mick Gielen	Radboud Universiteit
Andrey Glubokov	Purdue University
Magnus Goffeng	University of Lund
Alexander Gorokhovsky	University of Colorado
Jan Gundelach	University of Gothenburg
Hao Guo	The University of Adelaide
Piotr M. Hajac	IMPAN
Ahmad Reza Haj Saeedi Sadegh	Northeastern University
Ian Hambleton	McMaster University
Li Han	Capital Normal University
Kevin Hartmann	Sfsu
Mohammad Hassanzadeh	University of Windsor
Evert-Jan Hekkelman	University of New South Wales
Leonid Helmer	BGU
Jens Hemelaer	University of Antwerp
Lucien Hennecart	Paris-Saclay University
Hamed Hessam	Western University
Lars Hesselholt	Nagoya University and University of Copenhagen
Nigel Higson	Penn State University, Greater Allegheny
Michel Hilsum	Centre national de la recherche scientifique (CNRS)
Amanda Hoisington	Texas A&M University
Seyed Amir Parsa Hosseini Nayeri	Sharif University of Technology
Chengjun Hou	Yangzhou University
Daniel Hudson	University of Toronto
David Hui	Hong Kong University of Science and Technology
Tengzhou Hu	Washington University in St. Louis
BRUNO IOCHUM	Aix-Marseille University
Tommaso Isola	University of Rome Tor Vergata
itamar	Indep
Cristian Ivanescu	MacEwan University
Arturo Jaime	University of Hawaii at Manoa
JA A JEONG	Seoul National University
Baojie Jiang	Chongqing Jiaotong University
Dihua Jiang	University of Minnesota
Sheagan John	Texas A&M University
Dmitry Kaledin	Steklov Mathematical Institute of Russian Academy of Sciences
Jerry Kaminker	University of California, Davis
quentin karegar	Universidad Nacional Autónoma de México
Max Karoubi	Université Paris 7
Tsuyoshi Kato	Kyoto University
Georgios Katsimpas	York University
Atsushi Katsuda	Kyushu University
Dipankar Kaundilya	Indian Institute of Science, Bangalore
Masoud Khalkhali	Western University
Mirela Kohr	Babes-Bolyai University
Andrei Konovalov	University HSE, Moscow
Yuri Kordyukov	Ufa Federal Research Center of Russian Academy of Sciences
Bjarne Kosmeijer	University of Amsterdam
Andreas Kraft	University of Salerno
Seung-Hyeok Kye	Seoul National University
Thomas Laird	University of Nottingham
Josh Lam	IHES
Giovanni Landi	SISSA Trieste
Thiago Landim de Souza Leão	Sorbonne Université
Pouya Layeghi	Leiden University and University of Bordeaux
Gihyun Lee	Max Planck Institute for Mathematics
Young Lee	NA
Malte Leimbach	Radboud University
Hanfeng Li	SUNY at Buffalo
Bing-Sheng Lin	South China University of Technology
Milton Lin	Johns Hopkins University
Rusen Li	Shandong University
Han Liu	Fudan University
Shiqi Liu	Penn State University, Greater Allegheny
Yang Liu	SISSA
Zhi Yuan Liu	Capital Normal University
Xiaobin Li	Southwest Jiaotong University
Yi Li	Johns Hopkins University
Yuezhao Li	Leiden University
Yunxuan Li	University of Chicago
Matthew Lorentz	Michigan State University
Matthias Ludewig	Universität Regensburg
Tommy Lundemo	Radboud University Nijmegen
Lvlin Luo	Shanghai University of Medicine and Health Sciences
Wei Luo	Sichuan University
Amir Mohammad Mahmoodi Fard	Sharif University of Technology
Giuseppe Marmo	INFN Padova
James Marshall Reber	The Ohio State University
Naruki Masuda	Johns Hopkins University
Tomasz Maszczyk	University of Warsaw
Akhil Mathew	University of Chicago
Martin Mathieu	Queen's University Belfast
Yulia Meshkova
Bram Mesland	Leiden University
Paul Meunier	ENS Lyon
Ralf Meyer	University of Göttingen
Lukas Miaskiwskyi	Tu Delft
Milton Mi	University of California Berkeley
Ján Mináč	Western University
Yu Min	Morningside Center of Mathematics
Omar Mohsen	Paris-Saclay University
Fernando Montans
Hitoshi Moriyoshi	Nagoya University
Henri Moscovici	The Ohio State University
Devarshi Mukherjee	University of Göttingen
Alexander Nagen	University of Nottingham
Anita Naolekar	Indian Statistical Institute, Bangalore
Sam Nariman	Purdue University
Toshikazu Natsume	Nagoya Institute of Technology
Meshach Ndlovu	Botswana International University of science and Technology
Carolina Neira	Universidad Nacional de Colombia
Ryszard Nest	Copenhagen University
Ming Ng	University of Birmingham
Igor Nikolaev	St. John’s University
Saroj Niraula	University of Hawaii at Manoa
Anshu Nirbhay	NISER
Victor Nistor	Université de Lorraine
Ibrahim Nonkané	Université Thomas Sankara
Johan Öinert	Blekinge Institute of Technology
Nathan Pagliaroli	Western University
Sylvie Paycha	University of Potsdam
DY P	Fudan University
Carlos I. Perez Sanchez	Universität Heidelberg
Markus Pflaum	University of Colorado Boulder
Paolo Piazza	Sapienza Universita' di Roma
Alexei Pirkovskii	HSE University
Raphael Ponge	Sichuan University
Sanaz Pooya	Stockholm University
Hessel Posthuma	University of Amsterdam
Reyhaneh Pourshahami	Kharazmi University
Emil Prodan	Yeshiva University
Michael Puschnigg	Université d'Aix-Marseille
Jingxu Qian	National University of Defense Technology
Yu Qiao	Shaanxi Normal University
Qing Qi	Johns Hopkins University
Sven Raum	Stockholm University
Serge Richard	Nagoya University
Manuel Rivera	Purdue University
Miles River	The Fields Institute
Rudy Rodsphon	Washington University in St. Louis
Jonathan Rosenberg	University of Maryland
Steven Rosenberg	Boston University
Sutanu Roy	NATIONAL INSTITUTE OF SCIENCE EDUCATION AND RESEARCH (NISER),BHUBANESWAR
Chaofeng Ruan	Fudan University
Bernard Rybolowicz	Swansea University
Aurélien SAGNIER	Johns Hopkins University
Alexander Samokhin	Russian Academy of Sciences
Jesus Sanchez	Penn State University, Greater Allegheny
Soham Sarkar	Savitribai Phule Pune University
Anton Savin	RUDN University
Eduardo Scarparo	Federal University of Santa Catarina
Philipp Schmitt	Leibniz Universität Hannover
Elmar Schrohe	Leibniz Universität Hannover
Haluk Sengun	University of Sheffield
Heng Shang	Zhejiang University
Qiwei Shao	University of Toronto
Ilya Shapiro	University of Windsor
Pengshuai Shi	Beijing Institute of Technology
Yanli Song	Washington University in St. Louis
Jan-Luca Spellmann	Utah State University
Fedor Sukochev	University of New South Wales
Haoyu Sun	UT Austin
Xiaoyu Su	Texas A&M University
Krzysztof Swiecicki	Wrocław University of Science and Technology
Lenny Taelman	Universiteit van Amsterdam
Frank Taipe	Université Paris-Saclay
Doman Takata	Niigata University
Xiang Tang	Washington University in St. Louis
Mohabat Tarkeshian	Western University
Gisela Tartaglia	UNLP
Dimitrios Thanos	Western University
Guo Chuan Thiang	Peking University
Minjie Tian	Kyoto University
tongchao	Chongqing Jiaotong University
Harsh Trivedi	The LNM Institute of Information Technology
Arthur Troupel	Institut de Mathématiques de Jussieu-Paris Rive Gauche
Boris Tsygan	Northwestern University
Yannis Tziligakis	Ventrisk Corp.
Erik Van Erp	Dartmouth College
Walter van Suijlekom	Radboud University Nijmegen
Joseph C Várilly	Universidad de Costa Rica
Marco Varisco	University at Albany
Luuk Verhoeven	Western University
Maria Grazia Viola	Lakehead University
Dan-Virgil Voiculescu	University of California Berkeley
Guozhen Wang	Fudan University
Hang Wang	East China Normal University
jinmin wang	Texas A&M University
Kai Wang	East China Normal University
KUN WANG	University of Puerto Rico
Yu Wang	Nanjing University
Adam Wegert	AGH University of Science and Technology
Zhaoting Wei	Texas A & M University
Wend Werner	University of Münster
Alex Weygandt	Texas A&M University
Aaron Wild	University of Bonn
Mariusz Wodzicki	University of California
Enxin Wu	Shantou University
Jianchao Wu	Fudan University
Zhenyang Xia	SUSTech
Zhizhang Xie	Texas A&M University
Anjian Xu	Chongqing Technology and Business University
Junyan Xu	N/a
Shengzhi Xu	Fudan University
Yiqi Xu	university of stuttgart
Bora Yalkinoglu	Centre national de la recherche scientifique (CNRS)
Junjie Yao	Fudan University
Yi-Jun Yao	Fudan University
Sheng Yin	Harbin Institute of Technology
Guoliang Yu	Texas A&M University
Robert Yuncken	Université de Lorraine
Shilin Yu	Xiamen University
Dmitriy Zanin	University of New South Wales
Hao Zhang	University of Glasgow
Jianguo Zhang	East China Normal University
Jiawen Zhang	Fudan University
Yining Zhang	University of Colorado Boulder
Guodong Zhou	East China Normal University
Shuoxing Zhou	Fudan University
Tianyi Zhou	University of Ottawa
Hao Zhuang	Washington University in St. Louis
Konstantin Zhuikov	RUDN University
Laszlo Zsido	University of Rome Tor Vergata
昊飞胡	哈尔滨工业大学
昆高	Fudan University

The Fields Institute for
Research in Mathematical Sciences

Cyclic Cohomology at 40: achievements and future prospects

Description

Schedule

Schedule

Invited Speakers

Registered Participants

Organizing Committee

Staff Contact

People and Contacts

Calendar and Events