Workshop
Torsors: theory and applications
Jan 10, 2011 - Jan 14, 2011
ICMS, 15 South College Street Edinburgh
Organisers
Name | Institution |
---|---|
Batyrev, Victor | Universität Tübingen |
Skorobogatov, Alexei N | Imperial College London |
The aim of the workshop is to bring together those who work with torsors from different perspectives (geometric invariant theory, computational algebraic geometry, representation theory, non-abelian cohomology) and those who apply torsors in arithmetic geometry.
Short report
The idea of the meeting was to bring together mathematicians who use torsors in their research. Two mini-courses presented recent achievements on the borderline between geometric invariant theory and representation theory. One morning session was devoted to new applications of étale homotopy; arithmetic applications of torsors featured in a number of other talks. On the whole, talks were accessible to a heterogeneous audience of experts, postdocs and PhD students coming from different backgrounds (algebra, algebraic geometry and arithmetic geometry). We had a good mix of speakers: well established influential researchers as well as brilliant younger people. Much discussion went on between the talks. One goal has already been achieved: mathematicians working in areas that are related but which had limited contact have become aware of the existing methods and techniques. We are confident that this cross-fertilisation of ideas will continue. There was sufficient enthusiasm to publish a volume of conference proceedings featuring lecture notes of the two mini-courses.
The full report can be found here.
Arrangements
Participation
Participation is by invitation only. The workshop will begin on Monday morning 10 January 2011 and finish on Friday afternoon 14 January 2011.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and, if so, how to apply for one. If you do require a visa, ICMS can (on request) provide a signed invitation letter.
Venue
The workshop will take place at 15 South College Street, ICMS headquarters. South College Street is a small side street of Nicolson Street and it is next to Old College which is a local landmark. If you need to ask for directions, most people should know these places.
Wireless Access
ICMS at 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network. For those without laptops, there are a number of computers available for you to check your emails. Delegates are welcome to make use of the public areas at 15 South College Street throughout the week.
Accommodation
Delegates who wish to have accommodation booked for them are asked to tick the appropriate box on the registration form. Accommodation is block booked for single occupancy. Delegates who plan to travel with partners and/or family should contact ICMS to discuss this. All booked accommodation is located in the Pollock Halls area (a map will be available here shortly). When arriving to the Pollock Halls campus please go to the Reception Centre to check in or for further instructions (during some hours check-in may be available in the respective accommodations). The Reception Centre is manned 24/7.
Wednesday 12 January - afternoon activity
We are very pleased to be able to offer a very interesting guided tour of Edinburgh's Historic Vaults during the free afternoon on Wednesday 12 January. More details will follow.
Map
This map shows the location of the Pollock Halls area where the accommodation is located, and the location of the workshop venue (ICMS, 15 South College Street).
Insurance
All delegates must ensure their travel insurance cover is adequate. ICMS cannot be held responsible for costs incurred in case of flight delays or similar.
Programme
Programme published 14 December 2010. Last amendment 13 January 2011.
Monday 10 January
09.00 - 09.55 | Registration and coffee/tea |
09.55 - 10.00 | Welcome & Health and Safety information |
10.00 - 10.50 | Victor Batyrev (Universität Tübingen) |
10.50 - 11.20 | Coffee and tea served in the Chapterhouse |
11.20 - 12.20 | Jürgen Hausen (Universität Tübingen) |
12.20 - 14.30 | Lunch served in the Chapterhouse |
14.30 - 15.30 | Vera Serganova (University of California at Berkley) |
15.30 - 16.00 | Coffee and tea served in the Chapterhouse |
16.00 - 16.50 | Jacob Stix (Universität Heidelberg) |
17.00 - 17.50 | Felipe Voloch (University of Texas at Austin) |
18.00 - 19.30 | Wine reception |
Tuesday 11 January
09.00 - 10.00 | Jürgen Hausen (Universität Tübingen) |
10.10 - 11.10 | Vera Serganova (University of California at Berkley) |
11.10 - 11.40 | Coffee and tea served in the Chapterhouse |
11.40 - 12.30 | Phillipe Gille (Ecole Normale Supérieure) |
12.30 - 15.00 | Lunch |
15.00 - 15.50 | Mathieu Florence (Université Paris 6) |
15.50 - 16.20 | Coffee and tea served in the Chapterhouse |
16.20 - 17.10 | Jenia Tevelev (University of Massachusetts at Amherst) |
Wednesday 12 January
09.00 - 09.50 | Ambrus Pál (Imperial College London) |
10.00 - 10.50 | Yonatan Harpaz (The Hebrew University in Jerusalem) |
10.50 - 11.20 | Coffee and tea served in the Chapterhouse |
11.20 - 12.10 | Tomer Shlank (The Hebrew University in Jerusalem) |
12.10- 13.45 | Lunch |
13.45 - 15.00 | Extracurricular activity: Guided tour of the Historic Vaults |
Thursday 13 January
09.00 - 10.00 | Jürgen Hausen (Universität Tübingen) |
10.10 - 11.10 | Vera Serganova (University of California at Berkley) |
11.10 - 11.40 | Coffee and tea served in the Chapterhouse |
11.40 - 12.30 | Ulrich Derenthal (Ludwig-Maximilians-Universität München) |
12.30 - 15.00 | Lunch |
15.00 - 15.50 | Antonio Laface (Universidad de Concepción) |
15.50 - 16.20 | Coffee and tea served in the Chapterhouse |
16.20 - 17.10 | Ivan Arzhantsev (Lomonosov Moscow State University) |
19.00- | Workshop dinner at The Magnum Restaurant, 1 Albany Street |
Friday 14 January
09.00 - 09.50 | David Harari (Universite Paris-Sud) |
10.00 - 10.50 | Cyril Demarche (Université Paris 6) |
10.50 - 11.20 | Coffee and tea served in the Chapterhouse |
11.20 - 12.10 | Mikhail Borovoi (Tel Aviv University) |
12.20 - 13.10 | Sergey Gayfullin (Moscow State University) |
End of workshop |
Presentations:
Presentation Details | |
---|---|
Arzhantsev, Ivan | |
Two applications of Cox rings in affine geometry | |
View Abstract | |
Batyrev, Victor | |
Distribution of rational points and Mori program | |
View Abstract | |
Borovoi, Mikhail | |
Extended Picard complex of a homogeneous space | |
View Abstract | |
Demarche, Cyril | |
Strong approximation in homogeneous spaces over number fields | |
View Abstract | |
Derenthal, Ulrich | |
Counting rational points via universal torsors | |
View Abstract | |
Gayfullin, Sergey | |
Cox rings of S-varieties | |
View Abstract | |
Gille, Philippe | |
Torsors and classification of multiloop Lie algebras | |
View Abstract | |
Harari, David | |
Descent theory for open varieties | |
View Abstract | |
Harpaz, Yonatan | |
Homotopy obstructions to integral points | |
View Abstract | |
Laface, Antonio | |
Techniques for calculating Cox rings | |
View Abstract | |
Pál, Ambrus | |
Rational points and homotopy theory | |
View Abstract | |
Shlank, Tomer | |
The Brauer- Manin obstruction applied to ramified covers | |
View Abstract | |
Stix, Jakob | |
On the section conjecture over finite fields | |
View Abstract | |
Tevelev, Jenia | |
Geometric tropicalization and Cox coordinates | |
View Abstract | |
Voloch, Felipe | |
Finite descent obstructions for integral points on curves | |
View Abstract |
Participants
Name | Institution |
---|---|
Arzhantsev, Ivan | Lomonosov Moscow State University |
Baeker, Hendrik | University of Tuebingen |
Batyrev, Victor | Universität Tübingen |
Borovoi, Mikhail | Tel Aviv University |
Colliot-Thélène, Jean-Louis | CNRS et Université Paris-Sud |
Demarche, Cyril | Université Paris 6 |
Derenthal, Ulrich | Ludwig-Maximilians-Universität München |
Florence, Mathieu | Université Paris 6 |
Gayfullin, Sergey | Moscow State University |
Gille, Philippe | Ecole Normale Supérieure |
Harari, David | Universite Paris-Sud |
Harpaz, Yonatan | The Hebrew University in Jerusalem |
Hausen, Jürgen | Universität Tübingen |
Herppich, Elaine | University of Tübingen |
Kuyumzhiyan, Karine | Universite Grenoble I / Moscow State University |
Laface, Antonio | Universidad de Concepción |
Lee, Ting-Yu | DMA, ENS |
Loughran, Daniel | University of Bristol |
Mendes da Costa, David | University of Bristol |
Mennecke, Susanne | Universität Tübingen |
Pál, Ambrus | Imperial College London |
Perepechko, Aleksandr | Institut Fourier |
Pirutka, Alena | Universite Paris-Sud |
Preu, Thomas | Zurich Graduate School in Mathematics |
Serganova, Vera | UC Berkeley |
Shlank, Tomer | Hebrew University In Jerusalem |
Skorobogatov, Alexei N | Imperial College London |
Stix, Jakob | Universität Heidelberg |
Stoll, Michael | Universität Bayreuth |
Testa, Damiano | University of Oxford |
Tevelev, Jenia | University of Massachusetts at Amherst |
Viray, Bianca | Brown University |
Voloch, Felipe | University of Texas at Austin |