Laurent Berger
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 Oct 21 answered Lost soul: loneliness in pursing math. Advice needed. Oct 5 answered The significance of modularity for all Galois representations Sep 30 awarded Enlightened Sep 30 awarded Nice Answer Sep 29 revised Decomposition of Matrices in Semisimple and Nilpotent Parts added 82 characters in body Sep 29 answered Decomposition of Matrices in Semisimple and Nilpotent Parts Sep 29 revised Are D_dR and D_st “potentially comparable”? added 62 characters in body Sep 29 comment Are D_dR and D_st “potentially comparable”? By the way, these "thin subsets" are called "parties fines" in our article. I suspect that my coauthor was playing a joke on me (and the readers) since I later found out that in French, "partie fine" also means "orgy". Sep 29 answered Are D_dR and D_st “potentially comparable”? Sep 6 comment local galois representation with higher coefficient If you're looking at linear representations of $G$ with coefficients, then everything works "the same". See for example 3.1 of Breuil-Mézard's 2002 Duke paper. Sep 6 revised local galois representation with higher coefficient added 4 characters in body Sep 6 revised local galois representation with higher coefficient added 191 characters in body Sep 6 comment local galois representation with higher coefficient You also changed the setting completely. Is $F$ an extension of $K$ or a subfield of $K$?? Sep 6 answered local galois representation with higher coefficient Aug 16 comment Is there a “trianguline period ring”, or is one expected? This ring has not been studied. At some point, my student Di Matteo was interested in it, so you could ask him. Aug 4 comment Valuations on tensor products Isn't this just a matter of saying $v(b \otimes c) = v(b) + v(c)$ and letting the valuation of an element of $B \otimes C$ be the sup, over all possible ways to write the element as $\sum b_i \otimes c_i$, of $\inf_i v(b_i \otimes c_i)$? Aug 4 answered (phi, Gamma) module of ordinary elliptic curve Aug 4 comment (phi, Gamma) module of ordinary elliptic curve The references above will (I think) give you the corresponding filtered $\phi$-module, but not the $(\phi,\Gamma)$-module. Jul 12 awarded Nice Answer Jul 11 comment Incidences of rigorous proofs used in legal proceedings Our students (at the ENS de Lyon) like AC very much when they hear about it, to the point that they feel that they need it in order to choose one element from a set of two.