Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Yan Mary He
Affiliation:

University of Luxembourg
Date:

Thu, 02/05/2019 - 16:30 - 17:30 Basmajian identity expresses the volume of the boundary of a compact hyperbolic manifold as a sum over the orthogeodesics on the manifold. In the spirit of Dirichletâ€™s unit theorem, we introduce Hecke-type L-functions coming from Basmajian identities for Schottky groups and quadratic polynomials. We discuss their applications to counting (complex) orthospectrum, equidistribution of holonomy and orbit counting in complex dynamics.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/3050