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SUMMARY:De Rham Cohomology of Affinoid Spaces - Tom Adams
DTSTART:20211117T163000Z
DTEND:20211117T173000Z
UID:TALK165046@talks.cam.ac.uk
CONTACT:Stacey Law
DESCRIPTION:The field of p-adic numbers is a well-known example of a non-A
 rchimedean field. To try and develop a theory of geometry over such fields
 \, it seems reasonable to take inspiration from classical geometric constr
 uctions like real differentiable\, or complex analytic\, manifolds. Howeve
 r\, for topological reasons\, this naive approach is problematic and\, in 
 most cases\, is of limited geometric interest.\n\n\n\nA more sophisticated
  way to study the geometry of non-Archimedean fields is provided by rigid 
 analytic geometry. Affinoid spaces lie at the heart of this theory. These 
 are the rigid analytic analogues of affine schemes from algebraic geometry
 . After I have introduced affinoid spaces\, I will spend most of this talk
  discussing an appropriate definition of de Rham cohomology in the affinoi
 d setting. I will also attempt to convey why\, from the viewpoint of repre
 sentation theory\, affinoid de Rham cohomology is an interesting thing to 
 consider.\n\n
LOCATION:MR12
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