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Study group on rigid geometry

Where and when

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

References

Programme

#
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)