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Speaker:
Yan Mary He
Affiliation:
University of Luxembourg
Date:
Thu, 02/05/2019 - 16:30 - 17:30
Location:
MPIM Lecture Hall
Parent event:
Oberseminar Differentialgeometrie 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 Dirichlet’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.
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