Gebze Technical University Mathematics Department Seminars

Selberg zeta function and continued fractions
Ayberk Zeytin
Galatasaray University, Turkey
Özet : Selberg zeta function of a Riemann surface X is known to encode the discrete spectrum of the Laplacian on X via the Selberg trace formula. In this talk, following Lewis-Zagier, we will explain how one obtains the Selberg zeta function of the modular curve as the Fredholm determinant of an appropriate operator on an appropriate Banach space. Along the way, we will discuss the close relationship between the operators in question and continued fractions. Should time permit, we will mention some ongoing work, partly joint with M. Fraczek, B. Mesland and M.H. Şengün.
  Tarih : 12.10.2018
  Saat : 14:00
  Yer : Gebze Teknik Üniversitesi, Matematik Bölümü Seminer Odası
  Dil : English