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Meta
Tag Archives: Jean-Pierre Wintenberger
Clozel 70, Part II
Many years ago, Khare asked me (as I think he asked many others at the time) whether I believed their existed an irreducible motive \(M\) over \(\mathbf{Z}\) (so good reduction everywhere) with Hodge-Tate weights \([0,1,2,\ldots,n-1]\) for any \(n > 1\). … Continue reading →
Posted in Mathematics
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Tagged Andrew Odlyzko, Chandrashekhar Khare, David Geraghty, David Renard, E_8, endoscopy, Gaëtan Chenevier, George Boxer, Harold Stark, Jack Thorne, James Newton, Jean Lannes, Jean-François Mestre, Jean-Marc Fontaine, Jean-Pierre Wintenberger, John Conway, Laurent Clozel, Leech Lattice, Michael Harris, Niemeier Lattices, Olivier Taîbi, Ramanujan's Delta, Stefane Fermigier, Stephen Miller, Toby Gee, Tom Barnet-Lamb
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5 Comments
30 years of modularity: number theory since the proof of Fermat
It’s probably fair to say that the target audience for this blog is close to orthogonal to the target audience for my talk, but just in case anyone wants to watch it in HD (and with the audio synced to … Continue reading →
Posted in Mathematics
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Tagged Ana Caraiani, Andrew Wiles, Bach, Barry Mazur, Cello Suites, Chandrashekhar Khare, Christophe Breuil, Documentary, George Boxer, Grothendieck, Hyperbolic Geometry, Jack Thorne, James Newon, Jean-Pierre Wintenberger, John Tate, Knot Not, Langlands, Matthew Emerton, Modularity, Peter Scholze, Pierre Colmez, Thurston, Toby Gee, Vincent Pilloni, Vivaldi
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13 Comments
Potential Automorphy for GL(n)
Fresh on the arXiv, a nice new paper by Lie Qian proving potential automorphy results for ordinary Galois representations \(\rho: G_F \rightarrow \mathrm{GL}_n(\mathbf{Q}_p)\) of regular weight \([0,1,\ldots,n-1]\) for arbitrary CM fields \(F\). The key step in light of the 10-author … Continue reading →
Posted in Mathematics
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Tagged 10-author paper, Avner Ash, Barnett-Lamb, BLGGT, Chandrashekhar Khare, Dan Grayson, David Geraghty, Dwork, Gerd Faltings, Jean-Pierre Wintenberger, Lie Qian, Michael Harris, Nicholas Shepherd-Barron, Potential Automorphy, Richard Taylor, Serre, Toby Gee, Top, van Geemen
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1 Comment
En Passant VI
I just learnt (from a comment on this blog) that Pierre Colmez hosts a wonderful page on Fontaine and Wintenberger here. I particularly recommend reading both the personal recollections of their friends and collaborators (sample quote from Mark: These \(p\)-adic … Continue reading →
Posted in Mathematics
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Tagged Arizona Winter School, Barry Mazur, Jean-Marc Fontaine, Jean-Pierre Wintenberger, John Tate, Mark Kisin, Pierre Colmez
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Jean-Marc Fontaine, 1944-2019
The results which generate the most buzz in mathematics are usually those which can be expressed in an elementary (or at least pithy) way to a general mathematical audience. It is certainly true that such results may be profound (see … Continue reading →