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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Flatness properties of p-adic Banach modules

## Flatness properties of p-adic Banach modulesAdd 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 This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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