Bilkent Üniversitesi ODTÜ-Bilkent Cebirsel Geometri Seminerleri
Picard Groups of the Moduli Spaces of Riemann Surfaces with Certain Finite Abelian Symmetry Groups
Yıldıray Ozan
ODTÜ, Türkiye
In 2021, H. Chen determined all finite abelian regular branched covers of the 2-sphere with the property that all homeomorphisms of the base preserving the branch set lift to the cover, extending the previous works of Ghaswala-Winarski and Atalan-Medettoğulları-Ozan. In this talk, we will present a consequence of this classification to the computation of Picard groups of moduli spaces of complex projective curves with certain symmetries. Indeed, we will use the work by K. Kordek already used by him for similar computations. During the talk we will try to explain the necessary concepts and tools following Kordek's work.
NOT:
One day before the seminar, an announcement with the Zoom meeting link will be sent to those who registered with Sertöz. If you have registered before for one of the previous talks, there is no need to register again; you will automatically receive a link for this talk too. If you have not registered before, please contact him at sertoz@bilkent.edu.tr.
