Large Structures Seminar: Viveka Erlandsson

This talk is part of the AScI Thematic program "Challenges in Large Geometric Structures and Big Data" seminar. Check out our upcomning talks at https://aaltoscienceinst.github.io/lsbdseminar/.

Where:	M2 @ Otakaari 1
When:	13.04.2015 @ 11.00 (sharp)

Speaker:	Viveka Erlandsson Aalto University
Title:	Counting self-intersecting multi curves

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 we 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 $k$ . In this talk I will outline some of the ideas that are used in proving these results.