Algebraic intersection on Veech surfaces

  • Julien Boulanger (Institut Fourier, Grenoble)
E2 10 (Leon-Lichtenstein)


In this talk we will investigate the maximal possible intersection of closed curves of a given length on a surface, and we will specifically focus on the case of translation surfaces. One way to approach this question is to consider the so-called (algebraic) interaction strength (here denoted KVol). After having introduced a few notions related to KVol as well as translation surfaces, we will give a method to compute KVol on SL_2(R)-orbits of Bouw-Möller surfaces with a single singularity, which are instances of particularly symmetric translation surfaces (their Veech group are triangle groups).

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail

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