K-theory, algebraic cycles and motivic homotopy theory
KAH2
3 May 2022 to 29 July 2022
Programme theme
The programme will focus on the areas of Algebraic K-theory, Algebraic Cycles and Motivic Homotopy Theory. These are fields at the heart of studying algebraic varieties from a cohomological point of view, which have applications to several other fields like Arithmetic Geometry, Hodge theory and Mathematical Physics.
It was in the 1960s that Grothendieck first observed that the various cohomology theories for algebraic varieties shared common properties, which led him to explain the underlying kinship of such cohomology theories in terms of a universal motivic cohomology theory of algebraic varieties. The theory of Algebraic Cycles, Higher Algebraic K-theory, and Motivic Homotopy Theory are modern versions of Grothendieck's legacy. In recent years it has seen some spectacular developments, on which we want to build further.
The programme will also specifically explore the connections between the following areas:
- Algebraic K-theory, Motivic Cohomology, and Motivic Homotopy Theory;
- Hodge theory, Periods, Regulators, and Arithmetic Geometry;
- Mathematical Physics.
For this, we shall bring together mathematicians working on different aspects of this broad area for extended periods of time, promoting exchange of ideas and stimulating further progress.
This programme is the continuation of the partly cancelled programme of the same name in 2020. In the 2020 part of the programme a workshop took place, which was aimed at giving a younger generation of mathematicians an overview of and introduction to this interesting, but broad area. During this continuation there will be three conference level workshops, one for each of the three areas listed above, aimed at the latest developments and applications of that area. They will be preceded by several more introductory/background talks by Dona Arapura, Fred Diamond, Netan Dogra, Mahesh Kakde and Chuck Weibel in the week 6th-10th June.
Click here to download the programme's final scientific report
Preprints
| Title | Year | Programme | |
|---|---|---|---|
Mirror constructions for K3 surfaces from bimodal singularitiesAuthors: Makiko Mase, Ursula Whitcher |
2021 | KAH2 | 20 October 2022 |
Workshops
Algebraic K-theory, motivic cohomology and motivic homotopy theory
13 June 2022 to 17 June 2022
Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights
20 June 2022 to 24 June 2022
Mathematical physics: algebraic cycles, strings and amplitudes
19 July 2022 to 22 July 2022
The Organisers would like to thank the following sponsors for their generous support of the event:
Seminars
| Tuesday 10th May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Ravindra Girivaru University of Missouri |
Room 2 | 
|
| Wednesday 11th May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Herbert Gangl Durham University |
Room 2 | |
| Tuesday 17th May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Shane Kelly University of Tokyo |
Room 2 | |
| Wednesday 18th May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Amnon Neeman Australian National University |
Room 2 | |
| Tuesday 24th May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Florian Ivorra Université de Rennes 1 |
Room 2 | |
| Wednesday 25th May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Jaya Iyer Institute of Mathematical Sciences, Chennai |
Room 2 | |
| Monday 30th May 2022 | |||
|---|---|---|---|
| 12:00 to 13:00 |
Ishai Dan-Cohen Ben-Gurion University |
Room 2 | |
| 16:00 to 17:00 |
Parimala Raman Emory University |
Room 1 | |
| Tuesday 31st May 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Fred Diamond King's College London |
Room 2 | |
| Wednesday 1st June 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Leila Schneps Institut de Mathématiques de Jussieu; CNRS (Centre national de la recherche scientifique) |
Room 2 | |
| Monday 6th June 2022 | |||
|---|---|---|---|
| 10:15 to 11:15 |
Charles Weibel Rutgers, The State University of New Jersey |
Room 2 |
|
| Wednesday 8th June 2022 | |||
|---|---|---|---|
| 14:15 to 15:30 |
Charles Weibel Rutgers, The State University of New Jersey |
Room 2 |
|
| 16:00 to 17:00 |
Rob de Jeu Vrije Universiteit Amsterdam |
Room 2 |
|
| Thursday 9th June 2022 | |||
|---|---|---|---|
| 09:00 to 10:00 |
Mahesh Kakde Indian Institute of Science |
Room 2 |
|
| 10:15 to 11:15 |
Donu Arapura Purdue University |
Room 2 |
|
| Friday 10th June 2022 | |||
|---|---|---|---|
| 09:00 to 10:00 |
Fred Diamond King's College London |
Room 2 |
|
| 10:15 to 11:15 |
Netan Dogra King's College London |
Room 2 |
|
| Wednesday 22nd June 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 | Room 2 | ||
| Monday 27th June 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Evgeny Shinder University of Sheffield |
Room 2 |
|
| Tuesday 28th June 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Charanya Ravi Universität Regensburg |
Room 2 | |
| Wednesday 29th June 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Olivier Fouquet Université de Franche-Comté |
Room 2 |
|
| Monday 4th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Sabrina Pauli Universität Duisburg-Essen |
Room 2 |
|
| Tuesday 5th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
David Corwin University of California, Berkeley |
Room 2 |
|
| Wednesday 6th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Akhil Mathew University of Chicago; Clay Mathematics Institute |
Room 2 |
|
| Monday 11th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Anthony Scholl University of Cambridge |
Room 2 |
|
| Tuesday 12th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Alan Thompson Loughborough University |
Room 2 |
|
| Wednesday 13th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 |
Sara Angela Filippini Jagiellonian University |
Room 2 | |
| Thursday 14th July 2022 | |||
|---|---|---|---|
| 14:30 to 15:30 |
Wayne Raskind Wayne State University |
Room 2 | |
| Monday 18th July 2022 | |||
|---|---|---|---|
| 16:00 to 17:00 | Room 2 |
|
|
| 16:00 to 17:00 |
Will Donovan University of Tokyo |
Room 2 |
|
| Monday 25th July 2022 | |||
|---|---|---|---|
| 16:00 to 16:30 |
Yannik Schüler University of Sheffield |
Room 2 |
|
| 16:30 to 17:30 |
Tim Gräfnitz University of Cambridge |
Room 2 | |
| Tuesday 26th July 2022 | |||
|---|---|---|---|
| 11:00 to 12:00 |
Husney Parvez Sarwar Indian Institute of Technology |
Room 2 |
|
| 16:00 to 17:00 |
Dhruv Ranganathan University of Cambridge |
Room 2 | |
| Wednesday 27th July 2022 | |||
|---|---|---|---|
| 15:15 to 16:15 |
Don Zagier Max-Planck-Institut für Mathematik, Bonn |
Room 2 | |
Organisers
- Aravind Asok University of Southern California
- Rob de Jeu Vrije Universiteit Amsterdam
- Charles Doran University of Alberta
- Roy Joshua Ohio State University
- Marc Levine Universität Duisburg-Essen
- James D. Lewis University of Alberta
- Ursula Whitcher American Mathematical Society
Speakers
- Donu Arapura Purdue University
- David Corwin University of California, Berkeley
- Ishai Dan-Cohen Ben-Gurion University
- Rob de Jeu Vrije Universiteit Amsterdam
- Fred Diamond King's College London
- Netan Dogra King's College London
- Will Donovan Tsinghua University
- Sara Angela Filippini Jagiellonian University
- Olivier Fouquet Université de Franche-Comté
- Herbert Gangl Durham University
- Ravindra Girivaru University of Missouri
- Tim Gräfnitz University of Cambridge
- Florian Ivorra Université de Rennes 1
- Jaya Iyer Institute of Mathematical Sciences, Chennai
- Mahesh Kakde Indian Institute of Science
- Shane Kelly University of Tokyo
- Akhil Mathew University of Chicago; Clay Mathematics Institute
- Amnon Neeman Australian National University
- Sabrina Pauli Universität Duisburg-Essen
- Parimala Raman Emory University
- Dhruv Ranganathan University of Cambridge
- Wayne Raskind Wayne State University
- Charanya Ravi Universität Regensburg
- Husney Parvez Sarwar Indian Institute of Technology
- Leila Schneps Institut de Mathématiques de Jussieu; CNRS (Centre national de la recherche scientifique)
- Anthony Scholl University of Cambridge
- Yannik Schüler University of Sheffield
- Evgeny Shinder University of Sheffield
- Alan Thompson Loughborough University
- Charles Weibel Rutgers, The State University of New Jersey
- Don Zagier Max-Planck-Institut für Mathematik, Bonn
Participants
- Alexey Ananyevskiy None / Other; Steklov Mathematical Institute, Russian Academy of Sciences
- Donu Arapura Purdue University
- Aravind Asok University of Southern California
- Joseph Ayoub Universität Zürich
- Federico Binda University of Milan; Università degli Studi di Milano
- Spencer Bloch University of Chicago
- Patrick Brosnan University of Maryland, College Park
- François Brunault ENS - Lyon
- Jose Burgos Gil ICMAT
- Anna Cadoret Sorbonne Université
- Steven Charlton Universität Hamburg
- Xi Chen University of Alberta
- Man Wai Cheung Institute for the Physics and Mathematics of the Universe (IPMU)
- Ishai Dan-Cohen Ben-Gurion University
- Rob de Jeu Vrije Universiteit Amsterdam
- Ajneet Dhillon University of Western Ontario
- Fred Diamond King's College London
- Netan Dogra King's College London
- Charles Doran University of Alberta
- E. Javier Elizondo Universidad Nacional Autonoma de Mexico (UNAM)
- Veronika Ertl Universität Regensburg
- Hélène Esnault Freie Universität Berlin
- Sara Angela Filippini Jagiellonian University
- Herbert Gangl Durham University
- Henri Gillet University of Illinois at Chicago
- Ravindra Girivaru University of Missouri
- Phillip Griffiths Institute for Advanced Study, Princeton; University of Miami
- Nadav Gropper University of Oxford
- Mark Gross University of Cambridge
- Gabriela Guzman Polska Akademia Nauk
- José Jaime Hernández Castillo CIMAT (Centro de Investigación en Matemáticas), Mexico
- Florian Ivorra Université de Rennes 1
- Jaya Iyer Institute of Mathematical Sciences, Chennai
- Roy Joshua Ohio State University
- Bruno Kahn Institut de Mathématiques de Jussieu
- Mahesh Kakde Indian Institute of Science
- Elana Kalashnikov University of Waterloo
- Daniel Kaplan Universiteit Hasselt
- Tyler Kelly University of Birmingham
- Shane Kelly University of Tokyo
- Matt Kerr Washington University in St. Louis
- Adeel Khan Institute of Mathematics, Academia Sinica, Taipei, Taiwan
- Minhyong Kim International Centre for Mathematical Sciences; University of Edinburgh
- Bernhard Koeck University of Southampton
- Lukas Kofler University of Cambridge
- Naomi Kraushar Stanford University
- Amalendu Krishna Indian Institute of Science
- Marc Levine Universität Duisburg-Essen
- Paulo Lima-Filho Texas A&M University
- Ma Luo University of Oxford
- Vincent Maillot Institut de Mathématiques de Jussieu; CNRS (Centre national de la recherche scientifique)
- Andreas Malmendier University of Connecticut
- Akhil Mathew University of Chicago; Clay Mathematics Institute
- Diana Mocanu University of Warwick
- Ben Moore University of Warwick
- Amnon Neeman Australian National University
- Wiesława Nizioł CNRS (Centre national de la recherche scientifique)
- Morgan Opie University of California, Los Angeles
- Kyle Ormsby Reed College
- Owen Patashnick University of Bristol; King's College London
- Deepam Patel Purdue University
- Sabrina Pauli Universität Duisburg-Essen
- Gregory Pearlstein Texas A&M University; Università di Pisa
- Pablo Pelaez Universidad Nacional Autonoma de Mexico (UNAM)
- Parimala Raman Emory University
- Wayne Raskind Wayne State University
- Jitendra Rathore Tata Institute of Fundamental Research
- Charanya Ravi Universität Regensburg
- Birgit Richter Universität Hamburg
- Oliver Roendigs Universität Osnabrück
- Jonathan Rosenberg University of Maryland, College Park
- Daniil Rudenko University of Chicago
- Damian Rössler University of Oxford
- Adriana Salerno National Science Foundation
- Husney Parvez Sarwar Indian Institute of Technology
- Leila Schneps Institut de Mathématiques de Jussieu; CNRS (Centre national de la recherche scientifique)
- Anthony Scholl University of Cambridge
- Yannik Schüler University of Sheffield
- Evgeny Shinder University of Sheffield
- Nicolò Sibilla SISSA
- Vasudevan Srinivas Tata Institute of Fundamental Research
- Padmavathi Srinivasan University of Georgia
- Jay Swar University of Oxford
- Yunqing Tang Université Paris Saclay; CNRS (Centre national de la recherche scientifique)
- Alan Thompson Loughborough University
- Burt Totaro University of California, Los Angeles
- Michel van Garrel University of Birmingham
- Charles Weibel Rutgers, The State University of New Jersey
- Matthias Wendt Bergische Universität Wuppertal
- Ursula Whitcher American Mathematical Society
- Kirsten Wickelgren Duke University
- Maria Yakerson Universität Regensburg
- Fenglong You University of Oslo
- Noriko Yui Queen's University, Canada
- Don Zagier Max-Planck-Institut für Mathematik, Bonn
- Ferdinando Zanchetta University of Bologna
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