Spectral Geometry

Gudrun talks with Polyxeni Spilioti at Aarhus university about
spectral geometry.


Before working in Aarhus Polyxeni was a postdoctoral researcher
in the group of Anton Deitmar at the University of Tübingen. She
received her PhD from the University of Bonn, under the
supervision of Werner Mueller after earning her Master's at the
National and Technical University of Athens (Faculty of Applied
Mathematics and Physics).


As postdoc she was also guest at the MPI for Mathematics in Bonn,
the Institut des Hautes Etudes Scientifiques in Paris and the
Oberwolfach Research Institute for Mathematics.


In her research she works on questions like: How can one obtain
information about the geometry of a manifold, such as the volume,
the curvature, or the length of the closed geodesics, provided
that we can study the spectrum of certain differential operators?
Harmonic analysis on locally symmetric spaces provides a powerful
machinery in studying various invariants, such as the analytic
torsion, as well as the dynamical zeta functions of Ruelle and
Selberg.



References and further information

P. Spiliotti: Ruelle and Selberg zeta functions on compact
hyperbolic odd dimensional manifolds PhD thesis, Bonn, 2015.

Greek Women in Mathematics Website

Celebration of Greek Women in mathematics, May 12 2022

Greek women in mathematics - First podcast episode

Eberhard Zeidler on Wikipedia





Podcasts

A. Pohl: Quantenchaos, Gespräch mit G. Thäter im
Modellansatz Podcast, Folge 79, Fakultät für Mathematik,
Karlsruher Institut für Technologie (KIT), 2016.