TRINO

Speaker: Gabriele Benedetti (SISSA) 

Title: Geometric footprints of magnetic geodesics

When: June 11 @14h30

Where: UniTS, aula seminario, third floor of  H2bis building.

Abstract: A magnetic geodesic models the motion of a charged particle on a Riemannian manifold (M,g) under the influence of a magnetic field,  represented by a closed two-form B. For example, when M is an orientable surface, magnetic geodesics are exactly the curves with prescribed geodesic curvature. In this talk, I will give an introduction to the dynamics of magnetic geodesics and its recent developments. On the one hand, the speed of the geodesic and the topology of M determine the existence of several types of periodic motions. On the other hand, the geometry of (g,B) can often be reconstructed from the dynamics. For example, if (g,B) is Kähler the dynamics detects complex space forms. An analogous result for almost Kähler manifolds is an open problem that I hope somebody in the audience (you!) can solve. The talk is based on joint projects with Luca Asselle, Johanna Bimmermann and Samanyu Sanjay.

Speaker: Samir Canning (ETH Zurich) 

Title: Intersection theory of the moduli space of abelian fourfolds

When: May 27 @14h30

Where: ICTP, Luigi Stasi Seminar Room

Abstract: I will explain how to compute the Chow ring of the moduli space of principally polarized abelian fourfolds. I will also discuss some aspects of the Chow ring of its toroidal compactifications. This is joint work in progress with Drakengren and Iribar López.