NAG
19 July 2009 to 18 December 2009
In the 1980's Grothendieck formulated his anabelian conjectures that brought to an hitherto-unexplored depth the interaction between topology and arithmetic. This suggested that the study of non-abelian fundamental groups could lead to a new understanding of deep arithmetic phenomena, including the arithmetic theory of moduli and Diophantine finiteness on hyperbolic curves. A certain amount of work in recent years linking fundamental groups to Diophantine geometry intimates deep and mysterious connections to the theory of motives and Iwasawa theory, with their links with arithmetic problems on special values of L-functions such as the conjecture of Birch and Swinnerton-Dyer. In fact, the work thus far suggests that the still-unresolved section conjecture of Grothendieck, whereby maps from Galois groups of number fields to fundamental groups of arithmetic curves are all proposed to be of geometric origin, is exactly the sort of key problem that touches the core of all these areas of number theory and more.
The goal of this programme is to investigate the ideas and problems of anabelian geometry within the global context of mainstream arithmetic geometry. By bringing together leading experts in number theory and arithmetic geometry we hope to shed more light on the inter-connections between anabelian geometry and more classical Diophantine problems, and hopefully make progress towards the solution of the section conjecture.
Click here to download the programme's final scientific report
Title | Year | Programme |
---|---|---|
Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zeroAuthors: Yuichiro Hoshi |
2009 | NAG |
27 July 2009 to 31 July 2009
24 August 2009 to 28 August 2009
28 September 2009 to 2 October 2009
30 October 2009 to 30 October 2009
14 December 2009 to 18 December 2009
Monday 3rd August 2009 | |||
---|---|---|---|
17:00 to 18:00 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 1 | |
Tuesday 4th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Florian Pop University of Pennsylvania |
Room 1 | |
14:00 to 15:00 |
Scott Corry Lawrence University |
Room 1 | |
Wednesday 5th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Florian Pop University of Pennsylvania |
Room 1 | |
Thursday 6th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Florian Pop University of Pennsylvania |
Room 1 | |
16:00 to 18:00 | Discussion Room |
Friday 7th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Florian Pop University of Pennsylvania |
Room 1 | |
Monday 10th August 2009 | |||
---|---|---|---|
14:30 to 15:30 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 1 | |
16:00 to 17:00 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 1 | |
Tuesday 11th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Hiroaki Nakamura Okayama University |
Room 1 | |
14:00 to 15:00 |
Alina Vdovina Newcastle University |
Room 1 | |
Wednesday 12th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Hiroaki Nakamura Okayama University |
Room 1 | |
14:00 to 15:00 |
Victor Abrashkin Durham University |
Room 1 | |
Thursday 13th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Hiroaki Nakamura Okayama University |
Room 1 | |
16:00 to 18:00 | Discussion Room |
Friday 14th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Hiroaki Nakamura Okayama University |
Room 1 | |
Monday 17th August 2009 | |||
---|---|---|---|
14:30 to 15:30 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 2 | |
16:00 to 17:00 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 2 |
Tuesday 18th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Mohamed Saidi University of Exeter |
Room 2 | |
14:00 to 15:00 |
Victor Abrashkin Durham University |
Room 2 |
Wednesday 19th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Mohamed Saidi University of Exeter |
Room 2 |
Thursday 20th August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Mohamed Saidi University of Exeter |
Room 2 | |
14:30 to 15:30 |
Uwe Jannsen Universität Regensburg |
Room 2 |
Friday 21st August 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Mohamed Saidi University of Exeter |
Room 2 | |
14:30 to 15:30 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 2 | |
16:00 to 18:00 |
Mahesh Kakde University College London |
Discussion Room | |
16:00 to 17:00 |
Pierre Deligne Institute for Advanced Study, Princeton |
Room 2 |
Tuesday 1st September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Peter Schneider |
Room 1 | |
Wednesday 2nd September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Peter Schneider |
Room 1 | |
Thursday 3rd September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Peter Schneider |
Room 1 | |
Monday 7th September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Christophe Breuil IHES |
Room 1 | |
Tuesday 8th September 2009 | |||
---|---|---|---|
10:00 to 11:00 |
Peter Schneider |
Room 1 | |
11:30 to 12:30 |
Christophe Breuil IHES |
Room 1 | |
Wednesday 9th September 2009 | |||
---|---|---|---|
10:00 to 11:00 |
Peter Schneider |
Room 1 | |
11:30 to 12:30 |
Christophe Breuil IHES |
Room 1 | |
Thursday 10th September 2009 | |||
---|---|---|---|
10:00 to 11:00 |
Peter Schneider |
Room 1 | |
11:30 to 12:30 |
Christophe Breuil IHES |
Room 1 | |
Tuesday 15th September 2009 | |||
---|---|---|---|
10:00 to 11:00 |
Peter Schneider |
Room 1 | |
11:30 to 12:30 |
John Coates University of Cambridge |
Room 1 |
Wednesday 16th September 2009 | |||
---|---|---|---|
10:00 to 11:00 |
Peter Schneider |
Room 1 | |
11:30 to 12:30 |
Sujatha Ramdorai Tata Institute of Fundamental Research |
Room 1 |
Thursday 17th September 2009 | |||
---|---|---|---|
10:00 to 11:00 |
Peter Schneider |
Room 1 | |
11:30 to 12:30 |
Sujatha Ramdorai Tata Institute of Fundamental Research |
Room 1 |
Monday 21st September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
John Coates University of Cambridge |
Room 1 |
Tuesday 22nd September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Peter Schneider |
Room 1 |
Wednesday 23rd September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Peter Schneider |
Room 1 |
Thursday 24th September 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Peter Schneider |
Room 1 |
Monday 5th October 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Hoil Kim Kyungpook National University |
Room 1 | |
15:30 to 16:30 |
Hoil Kim Kyungpook National University |
Room 1 | |
Tuesday 6th October 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Leila Schneps |
Room 1 | |
Wednesday 7th October 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Hoil Kim Kyungpook National University |
Room 1 | |
15:30 to 16:30 |
Hoil Kim Kyungpook National University |
Room 1 | |
Monday 12th October 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Hoil Kim Kyungpook National University |
Room 1 | |
15:30 to 16:30 |
Hoil Kim Kyungpook National University |
Room 1 |
Friday 16th October 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Hoil Kim Kyungpook National University |
Room 1 | |
15:30 to 16:30 |
Hoil Kim Kyungpook National University |
Room 1 | |
Thursday 22nd October 2009 | |||
---|---|---|---|
14:00 to 16:00 |
David Loeffler University of Cambridge |
Discussion Room |
Thursday 29th October 2009 | |||
---|---|---|---|
14:00 to 16:00 |
David Loeffler University of Cambridge |
Discussion Room |
Monday 2nd November 2009 | |||
---|---|---|---|
09:30 to 12:00 | Discussion Room |
Tuesday 3rd November 2009 | |||
---|---|---|---|
09:30 to 12:00 | Room 2 |
Wednesday 4th November 2009 | |||
---|---|---|---|
09:30 to 12:00 | Discussion Room |
Thursday 5th November 2009 | |||
---|---|---|---|
09:30 to 13:00 | Discussion Room | ||
14:00 to 15:00 |
Mehrdad Shahshahani IPM - Institute for Studies in Theoretical Physics and Mathematics |
Room 1 |
Friday 6th November 2009 | |||
---|---|---|---|
09:30 to 13:00 | Discussion Room |
Monday 9th November 2009 | |||
---|---|---|---|
14:00 to 15:30 |
Mahesh Kakde University College London |
Room 1 | |
16:00 to 17:00 |
Mahesh Kakde University College London |
Room 1 | |
Monday 16th November 2009 | |||
---|---|---|---|
14:00 to 15:30 |
Mahesh Kakde University College London |
Room 1 | |
16:00 to 17:00 |
Mahesh Kakde University College London |
Room 1 | |
Wednesday 18th November 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Mahesh Kakde University College London |
Room 1 | |
16:00 to 17:00 |
Mahesh Kakde University College London |
Room 1 | |
Thursday 19th November 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Pierre Lochak Université Pierre et Marie Curie Paris |
Room 1 | |
Monday 23rd November 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Zdzislaw Wojtkowiak CNRS (Centre national de la recherche scientifique) |
Room 1 | |
Wednesday 25th November 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Don Blasius University of California, Los Angeles |
Room 1 |
Thursday 26th November 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Don Blasius University of California, Los Angeles |
Room 2 | |
16:00 to 17:00 |
Yoshitaka Hachimori Tokyo University of Science |
Room 2 |
Monday 30th November 2009 | |||
---|---|---|---|
14:00 to 15:00 |
Hoil Kim Kyungpook National University |
Room 1 |
Wednesday 2nd December 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Marco Antei Université des Sciences et Technologies de Lille |
Room 1 | |
14:00 to 15:00 |
Andrew Wiles Princeton University |
Room 1 |
Thursday 3rd December 2009 | |||
---|---|---|---|
14:00 to 16:00 |
David Loeffler University of Cambridge |
Room 2 |
Friday 4th December 2009 | |||
---|---|---|---|
11:00 to 12:00 |
Cristian Popescu University of California, San Diego |
Room 1 | |
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