Séminaire à venir - Février
- 20/02/2019 - Adrien Sauvaget (Université d'Utrecht) - salle 01
Titre: Growth of saddle connections on translation surfaces
Resumé: Let us consider a translation surface (Riemann surface with an holomorphic 1-form). For all real L>0, we consider the of geodesics between two zeros of the differential. We will show that if the translation surface is generic then this number grows quadratically with a simple leading coefficient. Our proof of this result involves intersection theory on moduli spaces and the Bloch-Okounkov formalism for quasi-modular forms (joint work with D. Chen, M. Moeller, and D. Zagier).