Halka Açık Konuşma - Matematik Bölümü (Yasemin Kara)(20.01.2020)

08/01/2020

Konuşmacı: Yasemin Kara (Boğaziçi Üniversitesi)

Tarih: 20 Ocak 2020

Saat: 13:30

Yer: TB 130

Konu: The Laplacian on Hyperbolic Riemann Surfaces

Özet: Let $M$ be a hyperbolic Riemann surface of finite type and $\Delta_M$ be the Laplace operator on $M$. In this talk, after explaining the spectral theory of the Laplacian on Riemann surfaces of finite type, with emphasis on the quotients of the upper half plane by congruence subgroups, we will talk about construction of Maass forms on arithmetic surfaces.In the second half of the talk, we will dene weighted Laplacian on M and construct automorphic kernels associated to multiplier systems and use them todene non-holomorphic Poincare type series