Flatness properties of p-adic Banach modules

Add to your list(s) Download to your calendar using vCal

• Andreas Bode, University of Cambridge
• Friday 14 October 2016, 15:00-16:00
• CMS, MR15.

If you have a question about this talk, please contact Nicolas Dupré.

When studying normed modules over some Banach Q_p-algebra A, it is often necessary to replace the usual tensor product B ⊗_A M with its Banach completion B \widehat{⊗}A M. We will investigate under which conditions the functor B \widehat{⊗}A − is exact, or at least preserves exactness for one given short exact sequence, before generalizing our results to arbitrary chain complexes with finitely generated cohomology. Flatness properties of B turn out to be closely linked to the notion of a strict morphism, and to torsion phenomena arising from the ‘unit ball tensor’ B^{o ⊗_(A}o) -. We also give applications in rigid analytic geometry and the study of coadmissible \wideparen{D}-modules.

This talk is part of the Junior Algebra and Number Theory seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS, MR15
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• Junior Algebra and Number Theory seminar
• School of Physical Sciences
• bld31
• ndb35's list

Note that ex-directory lists are not shown.