Monthly Archives: September 2013

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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Life on the modular curve

Alice and Bob live on the modular curve . What does the world look like to them, assuming that they view the world in hyperbolic perspective? To those who are not used to hyperbolic geometry, there may be a few … Continue reading

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Some questions, I guess, one can’t be prepared for:

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