Tag Archives: Ian Agol

Read my NSF proposal

Posted on October 9, 2019 by Persiflage

Since this is NSF season, I took the opportunity to go back and look at some of my old proposals. I am definitely too shy to put my *most recent* proposal online, but I thought it might be interesting to … Continue reading →

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Virtual coherent cohomology

Posted on February 22, 2017 by Persiflage

I gave a talk yesterday where I attempted to draw parallels between the cohomology of (arithmetic) 3-manifolds and weight one modular forms. It was natural then to think about whether there was an analogue of the virtual Betti number conjecture. … Continue reading →

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100 Posts

Posted on August 19, 2014 by Persiflage

Meaningless numerical milestones are a good a reason as any for an indulgent post. Today, I will discuss some facts from this blog which you might not otherwise know about. It will be in the form of an (mercifully short) … Continue reading →

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Virtual Congruence Betti Numbers

Posted on September 27, 2013 by Persiflage

Suppose that \(G\) is a real semisimple group and that \(X = \Gamma \backslash G/K\) is a compact arithmetic locally symmetric space. Let us call a cohomology class tautological if it is invariant under the group \(G\). For example, if … Continue reading →

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