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Tag Archives: Serre
New Results In Modularity, Part I
I usually refrain from talking directly about my papers, and this reticence stems from wishing to avoid any appearance of tooting my own horn. On the other hand, nobody else seems to be talking about them either. Moreover, I have … Continue reading
Posted in Mathematics
Tagged Ana Caraiani, Andrew Wiles, Bao Le Hung, Blasius, David Geraghty, David Helm, Deligne, Don Blasius, Functoriality, Gowers, Jack Thorne, James Newton, Langlands, Laurent Clozel, Michael Harris, Modularity, Nuno Freitas, Patrick Allen, Peter Scholze, Port, Ramanujan, Reciprocity, RLT, Samir Siksek, Serre, The Triangle, Toby Gee
6 Comments
Correspondance SerreTate, Part I
Reading the correspondence between Serre and Tate has been as delightful as one could expect. What is very nice to see — although perhaps not so surprising — is the utter delight that both Serre and Tate find in discussing … Continue reading
Posted in Mathematics
Tagged 118982593, 144169, 3457, 691, 97, Deuring, minus part, Mumford, Odlyzko, plus part, Rene Schoof, Serre, SerreTate Correspondence, Tate, Tate Conjecture
4 Comments
Indulgences
Today is Persiflage’s birthday, but let us not also forget to wish many happy returns to friends of the blog Ana and Vytas, who share the same birthday! Here is how I plan to celebrate: I will spare you with the … Continue reading
Posted in Food
Tagged Ana Caraiani, Bach, Bao Le Hung, Champagne, Fog, Foie Gras, Fruit Cake, King's College Cambridge, Lake Michigan, Musical Offering, Sauternes, Schubert, Serre, SerreTate Correspondence, Smoked Eel, Tallis, Tate, Tea, Tofu, Vytas Paskunas
1 Comment
Serre 1: Calegari 0
I just spent a week or so trying to determine whether Serre’s conjecture about the congruence subgroup property was false for a very specific class of Sarithmetic groups. The punch line, perhaps not surprisingly, was that I had made an … Continue reading
Posted in Mathematics
Tagged Contradictions, CSP, Fred Diamond, Fred Diamond's Beard, George Boxer, Ihara's Lemma, John Voight, Keerthi, Ken Ribet, Mathematica, Matthew Emerton, RLT, Serre
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Ventotene, Part II
I promised to return to a more mathematical summary of the conference in Ventotene, and indeed I shall do so in the next two posts. One of the themes of the conference was bounding the order of the torsion subgroup … Continue reading
Posted in Uncategorized
Tagged Akshay Venkatesh, Borel, completed cohomology, Nicolas Bergeron, Peter Scholze, Serre, torsion
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Review of BuzzardGee
This is a review of the paper “Slopes of Modular Forms” submitted for publication in a Simons symposium proceedings volume. tl;dr: This paper is a nice survey article on questions concerning the slopes of modular forms. Buzzard has given a … Continue reading
Derived Langlands
Although it has been in the air for some time, it seems as though ideas from derived algebraic geometry have begun to inform developments in the Langlands program. (A necessary qualifier: I am talking about reciprocity in the classical arithmetic … Continue reading