Several approaches to non-archimedean geometry

This semester we are organising a seminar on non-archimedean geometry. This is open to master and graduate students or anyone with some background in arithmetic geometry.
We will meet in M006. The first meeting is on Wednesday 8th October 2014 at 8:15, and every Wednesday after that starting at the same time. This may be subject to change which will be posted here.
The goal is to understand the basic ideas, some results and examples of the different approaches to non-archimedean geometry. We will follow closely the lecture notes of Brian Conrad at the Arizona Winter School 2007. Kiran Kedlaya's notes are also recommended.
Each session one person will be responsible to present the main ideas of the section, which should take approximately half of the time. But everyone is encouraged to look at the exercises and examples in the notes beforehand, so that they can be discussed and solved during the rest of meeting. The program can be adjusted depending on the participants. Suggestions are welcome. Especially the last three meetings are not set in stone.

Date	Speaker	Topic
8th October 2014	Veronika Ertl	Introduction.
15th October 2014	Timo Keller	Tate approach: Affinoid algebras (Section 1.1 and 1.2 of [C]).
22nd October 2014		Cancelled.
29th October 2014	Oriol Raventós	Tate approach: Weierstrass, Laurent and rational domains (Section 2.1 of [C]).
5th November 2014	Veronika Ertl	The admissible topology (Section 2.2 of [C]).
12th November 2014	Timo Keller	Tate approach: Globalisation (Section 2.3 of [C]).
19th November 2014	Oriol Raventós, Vroni Ertl	Globalisation (Section 2.4),Coherent sheaves (Section 3.1 of [C]).
26th November 2014	Christoph Schrade	Tate approach: Cohomology (Section 3.2 of [C]).
3rd December 2014		Windberg meeting of the GK
10th December 2014	Oriol Raventós	Berkovich theory: Topological basics, Banach algebras (Section 4.1 and 4.2 of [C]).
17th December 2014	Timo Keller	Berkovich theory: Semi-norms, spectra (Section 4.3 of [C]).
24th December 2014		Christmas break.
31st December 2014		Christmas break.
7th January 2014		Cancelled.
14th January 2015	Vroni Ertl	Berkovich theory: From affinoids to globalisation (4.4 and 5.1 of [C]).
21st January 2015	Discussion	Berkovich theory: important constructions (5.2 of [C]).
28th January 2015	N.N.	Applications (End of 5.2 & 4.5 and 5.3 of [C]).

References

[B] S. Bosch: Lectures on Formal and Rigid Geometry, Preprint-Reihe SFB 478, Heft 378, (2008).

[BGR] S. Bosch, U. Günzter, R. Remmert: Non-Archimedean analysis, Springer-Verlag, (1984).

[C] B. Conrad: Several approaches to non-archimedean geometry, http://math.stanford.edu/~conrad/papers/aws.pdf, (2007).

[DFN] A. Ducros, C.Favre, J. Nicaise (Eds.): Berkovich Spaces and Applications, Lecture Notes in Mathematics, Vol. 2119, Springer, (2015).

[FvdP] J. Fresnel, M. van der Put: Géométrie Analytique Rigide et Applications, Birkhäuser, (1981).

[F&K] K. Fujiwara, F. Kato: Foundations of Rigid Geometry I, to appear in Monographs in Mathematics, EMS Publishing House.

[H1] R. Huber: Etale cohomology of rigid analytic varieties and adic spaces, Aspects of Mathematics E30, Vieweg & Sohn, (1996).

[H2] R. Huber: A generalisation of formal schemes and rigid analytic varieties, Math.Z. 217, 513-551, (1994).

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