Tag Archives: Ian Agol

Virtual coherent cohomology

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

Posted in Mathematics | Tagged , , , , , | 7 Comments

100 Posts

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

Posted in Waffle | Tagged , , , , , , , , , , , , | 8 Comments

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

Posted in Mathematics | Tagged , , , , , , , , | 8 Comments