Motivic stuff

Cohomology, homotopy theory, and arithmetic geometry

Posts Tagged ‘p-adic Hodge theory’

Notes on p-adic Hodge theory

Posted by Andreas Holmstrom on October 15, 2009

For a long time I have been looking for a sensible introduction to p-adic Hodge theory, and I think I might finally have found one: these lecture notes of Conrad and Brinon, an expanded but still prelimary set of notes based on their CMI summer school lectures earlier this year. Thanks to David Brown for pointing out these notes on Math Overflow, as part of an answer to a question about models.

A much shorter survey is Berger: An introduction to the theory of p-adic representations, but Conrad and Brinon give a lot more background, which seems very helpful.

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arXiv highlights

Posted by Andreas Holmstrom on March 9, 2009

In the hope that posting on the blog will help me stay updated on new preprints, I will keep posting short lists of things I for some reason or another find particularly interesting or would like to understand in the future. This is the period Jan 25 – March 1.

Johannes Nicaise: An introduction to p-adic and motivic zeta functions and the monodromy conjecture

Charles Rezk: A cartesian presentation of weak n-categories

del Hoyo: On the homotopy type of a cofibred category

John Pridham: Formality and splitting of real non-abelian mixed Hodge structures

Eisenbud and Schreyer: Cohomology of Coherent Sheaves and Series of Supernatural Bundles

Cisinski and Déglise: Updated version of Mixed Weil cohomologies. I hope to say more about this preprint in the future.

Hess: Homotopic Hopf-Galois extensions: foundations and examples

Gabber and Ramero: Foundations of p-adic Hodge theory — Third Release

Connes and Consani: New version of On the notion of geometry over F1

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