Séminaires : Géométrie et dynamique dans les espaces de modules

Séminaire mensuel à l'Institut Henri Poincaré, plupart du temps mercredi de 14h à 15h salle Olga Ladyjenskaïa (ex-salle 01). Pour plus de détails voire la page web :

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

Monthly seminar at the Institute Henri Poincaré. It usually takes place on Wednesday from 2pm to 3pm at the room Olga Ladyjenskaïa (ex-room 01). For more details see

http://carlos.matheus.perso.math.cnrs.fr/seminaire/index.html

A classical theorem of Siegel gives the average number of lattice points in bounded subsets of $\mathbb{R}^n$. Motivated by this result, Veech introduced an analogue for translation surfaces, now known as the Siegel–Veech formula. For flat surfaces with irrational cone angles, however, no such formula is available. 

A convex flat cone sphere is a Riemann sphere equipped with a flat metric with conical singularities, all with cone angles less than $2\pi$. In this talk, I will discuss recent work extending Siegel–Veech theory to this setting and outline the main ideas of the proof.