Tag Archives: Ellenberg

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

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The problem with baseball

Jordan Ellenberg, in a lovely slate article, explains perfectly what I don’t like about baseball. I think the fundamentals of baseball as a sport are sound. I like the pace of the game, the variation, the statistics, the quirkiness, the … Continue reading

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Virtual Congruence Betti Numbers

Suppose that is a real semisimple group and that is a compact arithmetic locally symmetric space. Let us call a cohomology class tautological if it is invariant under the group . For example, if is a 3-manifold, then the tautological … Continue reading

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