Summer School on padic Cohomology
The aim of this summer school is to give a survey on recent developments in padic cohomology, covering both theoretical and computational aspects. It is also intended to serve as an introduction into this area for PhD students and interested researchers. The summer school is organized by the members of the SFB/TR 45 and financed by the Deutsche Forschungsgemeinschaft.
What 


When 
Sep 29, 2008 09:00 AM
to Oct 02, 2008 05:00 PM 
Where  Department of Mathematics, University of Mainz 
Contact Name  Duco van Straten, Ralf Gerkmann and Kira Samol 
Contact Phone  +49 6131 3923609 
Attendees 
PhD students and interested researchers 
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Speakers
Pierre Berthelot 
(Universite de Rennes): 
"Introduction to arithmetic Dmodules" 

Richard Crew 
(University of Florida): 
"The monodromy theorem in padic cohomology" 

Kiran Kedlaya 

"Effective methods in padic cohomology" 
(Titles are preliminary)
Program
Kiran Kedlaya's course will focus on comparisons between rigid cohomology and algebraic de Rham cohomology, both for individual varieties and for families of varieties. In the latter case, we will use some basic properties of padic differential equations. The aim is to provide tools needed to carry out effective computations, e.g., of zeta functions of varieties.
Richard Crew's lectures will be centered around the notion of overconvergent Fisocrystals and their monodromy groups, leading up to the padic monodromy theorem. Pierre Berthelot's course will provide an introduction to arithmetic Dmodules. Conjecturally, these form a suitable category of coefficients for rigid cohomology. They are also an important tool for the derivation of structural results, e.g. the finitedimensionality of cohomology spaces.
A detailed schedule can be found here.
Prerequisites
We assume the usual background in algebraic and complex geometry, as covered e.g. by Hartshorne's and Voisin's books. Some familiarity with the basic theory of complete nonarchimedian fields will also be helpful.
List of Participants
A list of participants is available here.
Applications and Financial Support
Full financial support is available for members of the SFB/TR 45. There is limited support for other participants, too. Please indicate in the application form if you would like us to reserve a hotel room for you. During the summer school, lunch can be taken at the Zentralmensa (student cafeteria), which is close to the institute.
Travel information
All lectures will take place in the Mathematics Department of the University of Mainz, Staudinger Weg 9, in room 05426. Here is a map of the campus. The closest airport is located at Frankfurt/Main. Find your way from the airport to the institute here.
Further information
If you have additional questions, please contact the organizers.
 Duco van Straten (straten@mathematik.unimainz.de)
 Ralf Gerkmann (gerkmann@mathematik.unimainz.de)
 Kira Samol (samol@mathematik.unimainz.de)