Wintersemester 2008/9 - Forschungsseminar on p-adic Galois Representations

• Date: Thursday, 10-12 a.m.
• Place: T03 R04 D10
• Starting date: 16 October 2008
• The language of the seminar will be English.
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Description

The goal of the seminar is to work through the basic notions of (Fontaine's) theory of p-adic Galois representations and to understand some of the principal theorems in this area.

We will follow the new (yet unpublished) book by Fontaine and Ouyang.

Organisers

Gebhard Böckle and Gabor Wiese

Programme

Latest version of the programme.

List of Lectures

	Date	Speaker	Title
1	16/10/2008	Hélène Esnault	l-adic representation of local fields
2	23/10/2008	Ralf Butenuth	B-representations and regular G-rings
3	30/10/2008	Björn Buth	Mod p Galois reprsentations of G_E with char(E)=p
4	06/11/2008	Gebhard Böckle	p-adic Galois representations of G_E with char(E) = p and the ring R
5	13/11/2008	Juan Cervino	The action of G_K on Frac(R) and (phi,Gamma)-modules
6	20/11/2008	Adam Mohamed	The field C
7	27/11/2008	Andre Chatzistamatiou	C-representations I
8	11/12/2008	Lassina Dembélé	C-representations II
10	18/12/2009, 10:15-11:45	Dzmitry Doryn	Witt vectors
9	18/12/2008, 17:30-19:00	Haluk Sengün	Sen's Theta-operator and C-admissible representations
11	08/01/2009, 10:15-11:45	Doan Trung Cuong	The period field B_dr
12	15/01/2009	Christian Liedtke	De Rham representations
13	22/01/2009, 10:15-11:45	Stefan Kukulies	The period rings B_cris and B_st
14	22/01/2009, 14:15-15:45	Gabor Wiese	Semi-stable representations and filtered (phi,N)-modules
15	29/01/2009	Kay Rülling	Main Theorems

References

• Yves Andr\'e. Filtrations de type Hasse-Arf et monodromie $p$-adique, Inv. Math. 148 (2002), 285--317.
• Laurent Berger. An introduction to the theory of p-adic representations.
• Laurent Berger. Représentations p-adiques et équations différentielles. Invent. Math. 148 (2002), 219--284.
• Frédéric Cherbonnier, Pierre Colmez. Représentations p-adiques surconvergentes. Invent. Math. 133 (1998), 581--611.
• Jean-Marc Fontaine. Le corps des périodes p-adiques. In `Périodes p-adiques' (Bures-sur-Yvette, 1988). Astérisque 223 (1994), 59--111.
• Jean-Marc Fontaine, Yi Ouyang. Theory of p-adic Galois representations. Preprint.
• Eknath Ghate, Ariane Mézard. Filtered modules with coefficients. To appear in Trans. AMS.
• Günther Harder. Wittvektoren. Jahresber. DMV 99 (1997), no. 1, 18--48.
• Kiran Kedlaya. A p-adic local monodromy theorem. Ann. of Math. (2) 160 (2004), no. 1, 93--184.
• Zoghman Mebkhout. Analogue p-adique du théorème de Turritin et le théorème de la monodromie p-adique. Inv. Math. 148 (2002), 319--351.
• Jean-Pierre Serre. Local Fields. GTM 67, Springer Verlag, 1980.
• Burt Totaro. Tensor products in p-adic Hodge Theory. Duke Math. J. 83 (1996), 79--104.

Last modification: 22 January 2009.