Growth functions in PSL(2,Z)-dynamics

  • 5 March 2025
  • 1pm-2pm
  • Sch.105
  • Sasha Veselov

Sasha Veselov (Loughborough)

I will discuss the growth in multi-valued dynamics in the special case of PSL(2,Z)-actions. The main object will be the Lyapunov function, describing the growth of Markov numbers realised on the Conway topograph. I will discuss also the properties of the related Fock function and Federer-Gromov stable norm on the homology of the two-dimensional torus.
The talk is based on joint works with K. Spalding and A. Sorrentino.

 

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