Study group on rigid geometry

Where and when

Talks will be at 2pm in MS.05 unless otherwise stated.

Kiran Kedlaya's MIT course notes (see also all-in-one PDF file)
Mihran Papikian, Rigid-analytic geometry and the uniformization of abelian varieties (published in the AMS Snowbird 2004 conference proceedings, see Google Books)
Bosch, Guntzer & Remmert, "Non-Archimedean Analysis" (Springer)
Fresnel & van der Put, "Rigid Analytic Geometry and Its Applications" (Birkhauser)

#	Date	Speaker	Topic
1	Mon 9/5	Loeffler	Introduction
2	Thu 12/5	Banwait	Tate algebras and affinoid spaces
3	Mon 16/5	Reid	Informal introduction to Grothendieck topologies I trot out all the opinions and jokes I can remember about G-topologies. Finding appropriate formal definitions or properties is not necessarily my forte (for which see http://en.wikipedia.org/wiki/Grothendieck_topology.) Grothendieck topologies or sites or topoi are just categories with the categorical properties of categories of sheaves, so that they are just a little technical vehicle for cohomogy. What you actually do with them depends on the actual context, and usually involves a lot of detailed hard work. Classical topology, Zariski topology, etale topology, fppf and fpqc flat topologies, crystalline site, rigid analytic G-topology.
4	Mon 23/5	Bosman	The G-topologies of an affinoid space
5	Tue 31/5	Cremona	Tate uniformization of abelian varieties
6	Mon 6/6	Mourao	Differentials, residues and integration in P^1
7	Mon 13/6	Loeffler	Differentials and integration on general rigid spaces (after Coleman)
8	Mon 20/6	Holmes	Frobenius structure on differentials and Monsky-Washnitzer cohomology
9	Mon 27/6 at 12.00	Maclagan	Berkovich spaces (note different time)