Venue
SMS Seminar Hall
Speaker
A S Abdul Shabeer
Affiliation
SMS, NISER
Title
Hurwitz's Formula for Compact Riemann Surfaces.
Given a holomorphic map between compact Riemann surfaces, Hurwitz's formula relates the genera of the domain and range with the degree and ramification of the map. Hence, given two compact Riemann surfaces we get a restriction on the possible types of holomorphic maps between them. In particular, we also get the possible types of meromorphic functions on a compact Riemann surface.