18 Mar
2015
18 Mar
'15
12:10 p.m.
puntualmente in ritardo, vi annuncio il seminario di geometria di oggi. a presto, Bruno
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Wednesday, March 18, 2015 Ora Inizio: 16:00 Aula: Sala Seminari (Dip. Matematica)
SEMINARI DI GEOMETRIA Viveca Erlandsson (Aalto University)
Counting self-intersecting multicurves
Abstract: I will describe some joint work in progress with Juan Souto studying the asymptotic growth on the number $n_k^S(L)$ of multicurves with $k$ self-intersections of length at most $L$ on a hyperbolic surface $S$. More concretely, I will show that for small $k$, $\frac{n_k^S(L)}{L^{6g-6}}$ has a limit as $L\to\infty$. Moreover, when $S$ is the punctured torus, this limit exists for any fixed $k$.