Abstract: In this talk I begin by introducing the Selberg zeta function of hyperbolic quotient manifolds (H^3/G, where H^3 is 3-dimensional hyperbolic space and G is a discrete Schottky group) and reviewing a fruitful connection between the Selberg zeta function and regularized functional determinants of kinetic operators. I also review how the zeros of the Selberg zeta function in this context can be mapped to quasinormal mode quantum numbers. I then discuss a current research project, where collaborators and I construct a Selberg-like zeta function for „warped’’ (non-hyperbolic) quotient manifolds. We hope this construction will be of interest to both the mathematics and physics communities, for reasons that I will explain. Finally, we will discuss possible directions for future projects.
Fyrsta málstofa haustsins verður föstudaginn 16. apríl kl 10:30 í Naustinu húsi Endurmenntunar. Fyrirlesari er Victoria Lynn Martin, Raunvísindastofnun háskólans.
Titill hennar er A Selberg zeta function for warped manifolds.