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Algebraic Geometry with “Fancy” Coefficients

Université de Caen - Normandie November 13th - 17th 2017

par Christophe Mourougane - publié le , mis à jour le

Modern algebraic geometry has grown at a very fast pace in the last decades. In particular, the theory of schemes allows to define geometric objects with coefficients other than the real or the complex numbers, giving rise to new branches of geometry, devoted to the exploration of the links between the “classical" world and these new “fancy" settings.

The aim of the conference is to bring together young researchers and experts of various arithmetic techniques, in such a way to produce fertile exchanges and discussion about analogies and differences in their approach. The focus will be on five topics, selected among those that have produced the most striking applications over the last few years :

- Positive characteristic algebraic geometry
- Diophantine geometry and Arakelov theory
- Nonarchimedean geometry
- Cohomological methods
- Covers of curves and fundamental groups

Some of the talks will have a special format, with a 45 minutes introduction aiming to introduce young mathematicians to the tools that will be used in the main part of the talk. This will allow all participants to engage with topics that are not directly related to their research.

Speakers
Special talks by

Jean-Benoît Bost (Université Paris-Sud)
Hélène Esnault (Freie Universität - Berlin)
David Harbater (University of Pennsylvania)
Johannes Nicaise (Imperial College - London)
Lenny Taelman (University of Amsterdam)

Invited talks by

Giulia Battiston (Ruprecht-Karls-Universität Heidelberg)
François Charles (Université Paris-Sud)
Huayi Chen (Université Paris-Diderot)
Pierre Dèbes (Université de Lille)
Veronika Ertl (Universität Regensburg)
Emmanuel Lepage (Université Pierre-et-Marie-Curie)
Qing Liu (Université de Bordeaux)
Margarida Melo (Università di Roma Tre)
Baptiste Morin (Université de Bordeaux)
Rachel Pries (Colorado State University)
Matthieu Romagny (Université de Rennes 1)
Damian Rössler (University of Oxford)
Sofia Tirabassi (University of Bergen)

Organizers

Jérôme Poineau (Université de Caen)
Daniele Turchetti (Université de Caen)

Voir en ligne : Algebraic Geometry with “Fancy” Coefficients