Twisted Ruelle Zeta Function on Locally Symmetric Spaces - Fried's Conjecture and Applications

Explore the intricacies of twisted Ruelle zeta functions on locally symmetric spaces in this 44-minute seminar talk by Polyxeni Spilioti from the University of Göttingen. Delve into the Fried's conjecture and its applications as part of the Spectral Geometry in the clouds series hosted by the Centre de recherches mathématiques (CRM). Begin with an introduction to the topic, followed by an examination of the geometrical setting and the twisted zeta function. Investigate the Fried conjecture in depth and its connection to refined analytic torsion. Conclude with a discussion on further applications and a Q&A session, providing a comprehensive overview of this advanced mathematical concept.

Introduction
Frieds conjecture
Geometrical setting
Twisted zeta function
Fried conjecture
Refined analytic torsion
Further applications
Questions