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arithmetica on Superfectoid spaces!? arithmetica on Superfectoid spaces!? mayorliatmath on Superfectoid spaces!? lucqin on Superfectoid spaces!? Jesse on Fun with crystalline peri… Tags
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Tag Archives: Fontaine
Diamonds in the rough
This post is an outgrowth of my (ongoing) attempt to understand Peter Scholze’s remarkable course at Berkeley. The first couple of paragraphs below are a rather comically compressed summary of some portions of Jared Weinstein’s excellent notes (though of course all mistakes are my … Continue reading
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Tagged Colmez, Fargues, Fontaine, padic Hodge theory, perfectoid things, Scholze, Weinstein
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Fun with crystalline periods
The earliest results in what we now call padic Hodge theory are due to Tate and Sen, but nevertheless it seems reasonable to largely credit Fontaine for giving shape and direction to this subject and establishing it as a vital, … Continue reading
A simple construction of Sen’s functor
Let be a prime, and let . A –semilinear representation of is a finitedimensional vector space with a continuous action of such that for all , and . One of the early successes of padic Hodge theory was Sen’s classification of … Continue reading