Buondì, Segnalo (con un po' di ritardo...) un seminario di geometria per domani mattina (con orario inusuale). A presto, Bruno 08-Nov-2018 - 10:00 Sala Seminari (Dip. Matematica) <http://www.dm.unipi.it/webnew/it/aula/sala-seminari-dip-matematica> Short curves in hyperbolic 3-manifolds via knots on Heegaard surfaces <http://www.dm.unipi.it/webnew/it/seminari/short-curves-hyperbolic-3-manifolds-knots-heegaard-surfaces> Alessandro Sisto Given a Heegaard splitting of a manifold M, one can consider simple closed curves on the Heegaard surface as elements of its curve graph. I will discuss the result that if some such curve K is far from both disk sets (as measured in the curve graph), then the complement M-K is hyperbolic. Moreover, there is a condition involving subsurface projection that further ensures that M is obtained by long Dehn filling of M-K, yielding that M is hyperbolic and (the geodesic representative of) K is short. If the gluing map of the Heegaard splitting is chosen using a random walk, then with high probability there exists a curve K satisfying the required conditions. Hence, this proves a (Perelman-free) hyperbolisation result for "generic" 3-manifolds, as well as providing information about the injectivity radius. Joint with Peter Feller.