Tuesday, April 26, 2022
Time | Items |
---|---|
All day |
|
4:00pm |
04/26/2022 - 4:15pm Geodesic flows of negatively curved surfaces are one of the two classical families of Anosov flows on 3-manifolds. These are interesting objects to study, because, among other reasons, their periodic orbits are in one-to-one correspondence with the isotopy classes of closed curves of the surface. In this talk, we will start by introducing these geodesic flows, then explain the concept of Markov partitions, which is a useful tool for studying periodic orbits of Anosov flows in general. We will then illustrate a way of obtaining Markov partitions for these geodesic flows, via something called veering branched surfaces. Location:
https://yale.zoom.us/j/94256436597
04/26/2022 - 4:30pm Interesting moduli spaces don't have many integral points. More precisely, if X is a variety over a number field, admitting a variation of Hodge structure whose associate period map is injective, then the number of S-integral points on X of height at most H grows more slowly than $H^{\epsilon}$, for any positive $\epsilon$. This is a sort of weak generalization of the Shafarevich conjecture; it is a consequence of a point-counting theorem of Broberg, and the largeness of the fundamental group of X. Joint with Ellenberg and Venkatesh. Location: |