Thursday October 21st, 2021 | |
| Contact Name: | Francesco Lin, Columbia University |
| Details: | |
| Froyshov invariants are subtle numerical topological invariants of rational homology three-spheres derived from gradings in monopole Floer homology. In this talk I will look at their relation with invariants arising from hyperbolic geometry (such as volumes and lengths of closed geodesics), using an odd version of the Selberg trace formula and ideas from analytic number theory. In particular, for the class of minimal L-spaces, I will describe an effective procedure to compute them taking as input explicit geometric data, and show for example how this can be used to determine all the Froyshov invariants for the Seifert-Weber dodecahedral space. This is joint work with M. Lipnowski. | |