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Category Archives: Uncategorized
The class number 100 problem
Some time ago, Mark Watkins busted open the “class number n” problem for smallish n, finding all imaginary quadratic fields of class number at most 100 (the original paper is here) Although the paper describes the method in detail, it … Continue reading
Posted in Mathematics, Uncategorized
Tagged 1842523, 5519, 97, Arithmetic Groups, Class Number Problem, Ellenberg, Gauss, Helfgott, Hyperbolic 3manifolds, LMFDB, Mark Watkins, MO, Pierce, Venkatesh
7 Comments
Central Extensions and Weight One Forms
As mentioned in the comments to the last post, Kevin Buzzard and Alan Lauder have made an extensive computation of weight one modular forms in characteristic zero (see also here). Thinking about what that data might contain, I wondered about … Continue reading
Posted in Mathematics, Uncategorized
Tagged Alan Lauder, CohenLenstra, Computations, Kevin Buzzard, modular forms, Schur Multiplier, Tate, weight one
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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 Bergeron, Borel, completed cohomology, Scholze, Serre, torsion, Venkatesh
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Harris 60
I’ve just returned from the excellent MSRI workshop which honored Michael Harris’ 60th birthday, and here is a brief summary of some of the gossip and mathematics I picked up when I was there. First, let me take note of … Continue reading
Posted in Mathematics, Uncategorized, Waffle
Tagged Akshay Venkatesh, Daniel Erman, David Geraghty, Kate Bekinsdale, Michael Harris, Patching, RLT, TaylorWiles
2 Comments
Report from Luminy
For how long has Luminy been infested with bloodthirsty mosquitoes? The combination of mosquitoes in my room with the fact that my bed was 6′ long with a completely unnecessary headboard (which meant that I had to sleep on an … Continue reading
Posted in Mathematics, Uncategorized
Tagged Ana Caraiani, Galois Representations, Jan Nekovar, Luminy, Mosquitoes, Peter Scholze, Ultrafilters, Wild Boars
5 Comments
Robert Coleman
I was very sad to learn that, after a long illness with multiple sclerosis, Robert Coleman has just died. Robert’s influence on mathematics is certainly obvious to all of us in the field. Most of my personal interaction with him … Continue reading
The Fundamental Curve of padic Hodge Theory, Part II
This is a second post from JW, following on from Part I. The Galois group of as a geometric fundamental group. In this followup post, I’d like to relay something Peter Scholze told me last fall. It concerns the Galois … Continue reading
Posted in Mathematics, Uncategorized
Tagged Perfectoid Spaces, Scholze, Tilting, Weinstein
2 Comments