Non-abelian fundamental groups in arithmetic geometry - introductory workshop

Workshop theme

This workshop aims to bring together a mixture of experts in anabelian geometry and non-commutative Iwasawa theory as well as other major areas of arithmetic geometry. On the one hand, we hope to provide an overall introduction to the themes of the six-month program. On the other, the presence of representatives from neighbouring areas is expected to focus attention on future possibilities for non-abelian constructions to be applied to a broad range of arithmetic investigations.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Non-abelian fundamental groups in arithmetic geometry - introductory workshop, where work on this paper was undertaken. This work was supported by EPSRC grant EP/F005431/1.

Timetable

Monday 27th July 2009
09:00 to 09:55	Registration	No Room Required
09:55 to 10:00	Welcome - David Wallace (INI Director)	No Room Required
10:00 to 11:00	Pierre Deligne Institute for Advanced Study, Princeton Counting l-adic representations, in the function field case	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Otmar Venjakob Ruprecht-Karls-Universität Heidelberg On the noncommutative Iwasawa Main Conjecture for CM-elliptic curves	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Tamás Szamuely Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences Grothendieck's Section Conjecture and zero-cycles on varieties	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Pierre Colmez Institut de Mathematiques, Paris V On the p-adic local Langlands correspondence for $GL_2({\bf Q}_p)$	Room 1
16:30 to 17:30	Discussion	No Room Required
17:30 to 18:30	Welcome Wine Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Tuesday 28th July 2009
10:00 to 11:00	John Coates University of Cambridge Iwasawa theory of elliptic curves with complex multiplication	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Romyar Sharifi University of Arizona Reciprocity maps and Selmer groups	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Obstructions to homotopy sections of curves over number fields	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Richard Taylor Harvard University Potential automorphy of n dimensional Galois representations	Room 1
16:30 to 17:30	Discussion	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Wednesday 29th July 2009
10:00 to 11:00	Florian Pop University of Pennsylvania On the birational p-adic section conjecture	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Richard Hain Duke University On the section conjecture for universal curves over function fields	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 17:00	Excursion	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Thursday 30th July 2009
10:00 to 11:00	Matthew Emerton Northwestern University p-adically completed cohomology and the p-adic Langlands program	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Mohamed Saidi University of Exeter The cuspidalization of sections of arithmetic fundamental groups	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Fedor Bogomolov New York University The structure of Galois groups and birational algebraic geometry	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	David Burns King's College London Annihilating Tate-Shafarevic groups	Room 1
16:30 to 17:30	Discussion	No Room Required
18:45 to 23:00	Conference Dinner at Emmanual College (Old Library)	No Room Required

Friday 31st July 2009
10:00 to 11:00	David Harbater University of Pennsylvania Patching and a local-global principle for curves (joint with Julia Hartmann and Daniel Krashen)	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Mirela Ciperiani Columbia University Tate-Shafarevich groups over anticyclotomic Z p extensions	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Alexander Beilinson University of Chicago Epsilon-factors for the period determinants	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Hoil Kim Kyungpook National University Galois theory and Diophantine geometry	Room 1
16:30 to 17:30	Discussion	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Speakers

Alexander Beilinson University of Chicago
Fedor Bogomolov New York University
David Burns King's College London
Mirela Ciperiani Columbia University
John Coates University of Cambridge
Pierre Colmez Institut de Mathematiques, Paris V
Pierre Deligne Institute for Advanced Study, Princeton
Matthew Emerton Northwestern University
Richard Hain Duke University
David Harbater University of Pennsylvania
Hoil Kim Kyungpook National University
Florian Pop University of Pennsylvania
Mohamed Saidi University of Exeter
Romyar Sharifi University of Arizona
Tamás Szamuely Alfréd Rényi Institute of Mathematics,Hungarian Academy of Sciences
Richard Taylor Harvard University
Otmar Venjakob Ruprecht-Karls-Universität Heidelberg

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Non-abelian fundamental groups in arithmetic geometry - introductory workshop

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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