K-theory, algebraic cycles and motivic homotopy theory - Cancelled
KAH
6 January 2020 to 30 June 2020
Programme theme
**Following the outbreak of COVID19, half of this programme has been deferred to 2022. Please visit the new programme webpage here.**
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.
During the programme there will be four workshops. At the very beginning, there will be a workshop aimed at giving a younger generation of mathematicians an overview of and introduction to this interesting, but broad area. Later there will be a workshop for each of the three areas listed above, aimed at the latest developments and applications of that area.
KAH programme: interview with organisers R de Jeu, R Joshua, JD Lewis, C Doran and M Levine
Preprints
| Title | Year | Programme | |
|---|---|---|---|
HEIGHT PAIRING ON HIGHER CYCLES AND MIXED HODGE STRUCTURESAuthors: Souvik Goswami, Jose Burgos Gil, Gregory Pearlstein |
2019 | KAH | 15 July 2020 |
MOTIVIC AND ETALE SPANIER-WHITEHEAD DUALITY AND THE BECKER-GOTTLIEB TRANSFERAuthors: Gunnar Carlsson, Roy Joshua |
2019 | KAH | 6 July 2020 |
ADDITIVITY AND DOUBLE COSET FORMULAE FOR THE MOTIVIC AND ETALE BECKER-GOTTLIEB TRANSFERAuthors: Roy Joshua, Pablo Pelaez |
2019 | KAH | 6 July 2020 |
Workshops
Introductory workshop
13 January 2020 to 17 January 2020
Seminars
| Thursday 16th January 2020 | |||
|---|---|---|---|
| 14:45 to 15:45 | Room 1 | ||
| 14:45 to 15:45 | Discussion Room | ||
| Monday 20th January 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Patrick Brosnan University of Maryland, College Park |
Room 2 | |
| Thursday 23rd January 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Hossein Movasati IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro |
Room 2 | 
|
| 15:00 to 16:00 |
Don Zagier Max-Planck-Institut für Mathematik, Bonn |
Discussion Room | |
| Monday 27th January 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Masha Vlasenko Polish Academy of Sciences |
Room 2 |
|
| Wednesday 29th January 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Takamichi Sano Osaka City University |
Room 2 | |
| 16:00 to 17:00 |
Spencer Bloch University of Chicago |
Room 1 |
|
| Thursday 30th January 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Gabriela Guzman Universität Duisburg-Essen |
Room 2 |
|
| 15:00 to 16:00 |
Masha Vlasenko Polish Academy of Sciences |
Discussion Room | |
| Monday 3rd February 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
John Christian Ottem University of Oslo |
Room 2 |
|
| Thursday 6th February 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Clélia Pech University of Kent |
Room 2 |
|
| 14:30 to 15:30 |
Spencer Bloch University of Chicago |
Room 2 | |
| Monday 10th February 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Paul Balmer University of California, Los Angeles |
Room 2 | |
| Thursday 13th February 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Nicolas Garrel University of Alberta |
Room 2 |
|
| Monday 17th February 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Veronika Ertl Universität Regensburg |
Room 2 | |
| Thursday 20th February 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Martin Gallauer University of Oxford |
Room 2 | |
| Monday 24th February 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Mao Sheng University of Science and Technology of China |
Room 2 | |
| Wednesday 26th February 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Jose Burgos Gil ICMAT |
Room 2 |
|
| Thursday 27th February 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Claudio Pedrini Università degli Studi di Genova |
Room 2 |
|
| Monday 2nd March 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
James Plowman University of Warwick |
Room 2 | |
| Thursday 5th March 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Jens Hornbostel Bergische Universität Wuppertal |
Room 2 | |
| Monday 9th March 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Souvik Goswami Texas A&M University |
Room 2 |
|
| Thursday 12th March 2020 | |||
|---|---|---|---|
| 11:15 to 12:15 |
Anthony Scholl University of Cambridge |
Room 2 | |
| 16:00 to 17:00 | Skype Room (Gatehouse) | ||
| Monday 16th March 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
David Loeffler University of Warwick |
Room 2 | |
| Tuesday 17th March 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Charles Weibel Rutgers, The State University of New Jersey |
Room 2 | |
| Wednesday 18th March 2020 | |||
|---|---|---|---|
| 15:00 to 16:00 |
Charles Weibel Rutgers, The State University of New Jersey |
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
- Paul Balmer University of California, Los Angeles
- Spencer Bloch University of Chicago
- Patrick Brosnan University of Maryland, College Park
- Jose Burgos Gil ICMAT
- Veronika Ertl Universität Regensburg
- Martin Gallauer University of Oxford
- Nicolas Garrel University of Alberta
- Souvik Goswami Texas A&M University
- Gabriela Guzman Universität Duisburg-Essen
- Jens Hornbostel Bergische Universität Wuppertal
- David Loeffler University of Warwick
- Hossein Movasati IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro
- John Christian Ottem University of Oslo
- Clélia Pech University of Kent
- Claudio Pedrini Università degli Studi di Genova
- James Plowman University of Warwick
- Takamichi Sano Osaka City University
- Anthony Scholl University of Cambridge
- Mao Sheng University of Science and Technology of China
- Masha Vlasenko Polish Academy of Sciences
- Charles Weibel Rutgers, The State University of New Jersey
- Don Zagier Max-Planck-Institut für Mathematik, Bonn
Participants
- Xiaohua Ai None / Other
- Alexey Ananyevskiy Saint Petersburg State University; Steklov Mathematical Institute, Russian Academy of Sciences
- Aravind Asok University of Southern California
- Ran Azouri Universität Duisburg-Essen
- Tom Bachmann Universität Duisburg-Essen
- Paul Balmer University of California, Los Angeles
- Tobias Barthel Max-Planck-Institut für Mathematik, Bonn
- Alexander Betts Max-Planck-Institut für Mathematik, Bonn
- Spencer Bloch University of Chicago
- Patrick Brosnan University of Maryland, College Park
- Francis Brown University of Oxford
- Jose Burgos Gil ICMAT
- Jin Cao Tsinghua University
- Steven Charlton Max-Planck-Institut für Mathematik, Bonn
- John Coates University of Cambridge
- Rob de Jeu Vrije Universiteit Amsterdam
- Pedro Del Ángel Centro de Investigación en Matemáticas
- Christopher Deninger Westfalische Wilhelms-Universitat Munster
- Clara Derand ENS - Lyon
- Fred Diamond King's College London
- Charles Doran University of Alberta
- Veronika Ertl Universität Regensburg
- David Evans Cardiff University
- Sara Angela Filippini Jagiellonian University
- Matthias Flach CALTECH (California Institute of Technology)
- Laure Flapan Massachusetts Institute of Technology
- Martin Gallauer University of Oxford
- Herbert Gangl Durham University
- Terry Gannon University of Alberta
- Nicolas Garrel University of Alberta
- Souvik Goswami Texas A&M University
- John Greenlees University of Warwick
- Gabriela Guzman Universität Duisburg-Essen
- Jeremiah Heller University of Illinois
- José Jaime Hernández Castillo CIMAT (Centro de Investigación en Matemáticas), Mexico
- Jens Hornbostel Bergische Universität Wuppertal
- Marc Hoyois Universität Regensburg
- Wenchuan Hu Sichuan University
- Tiago Jardim da Fonseca University of Oxford
- Rick Jardine University of Western Ontario
- Roy Joshua Ohio State University
- Shane Kelly Tokyo Institute of Technology
- Adeel Khan Universität Regensburg
- Shun-ichi Kimura Hiroshima University
- Christopher Lazda University of Warwick
- Marc Levine Universität Duisburg-Essen
- David Loeffler University of Warwick
- Ma Luo University of Oxford
- Daniel Macias Castillo Universidad Autonoma de Madrid; Instituto de Ciencias Matemáticas (CSIC)
- Nils Matthes University of Oxford
- Hossein Movasati IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro
- Jose Navarro Universidad de Extremadura
- Alberto Navarro Garmendia Universidad Politécnica de Madrid
- John Christian Ottem University of Oslo
- Gregory Pearlstein Texas A&M University
- Clélia Pech University of Kent
- Claudio Pedrini Università degli Studi di Genova
- Pablo Pelaez Universidad Nacional Autonoma de Mexico (UNAM)
- Charanya Ravi Universität Regensburg
- Birgit Richter Universität Hamburg
- Oliver Roendigs Universität Osnabrück
- Takeshi Saito University of Tokyo
- Takamichi Sano Osaka City University
- Leila Schneps Institut de Mathématiques de Jussieu
- Anthony Scholl University of Cambridge
- Mao Sheng University of Science and Technology of China
- Yun Shi Harvard University
- Evgeny Shinder University of Sheffield
- Vesna Stojanoska University of Illinois at Urbana-Champaign
- Alex Torzewski University College London
- Alexander Vishik University of Nottingham
- Masha Vlasenko Polish Academy of Sciences
- Qingxue Wang Fudan University
- Charles Weibel Rutgers, The State University of New Jersey
- Maria Yakerson Universität Regensburg
- Don Zagier Max-Planck-Institut für Mathematik, Bonn
- Ferdinando Zanchetta University of Southampton
- Sarah Zerbes University College London
- Paul Arne Østvær University of Oslo
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