Guest: Umutcan Erdur
Title: Torsion Points on Hyperelliptic Jacobian Varieties
Date/Time: 7 May, 2025, 13:40
Location: FENS G035
Abstract: Within the last 30 years, harmonicity and Dirichlet Problem for Banach space valued functions has been studied extensively by several researchers such as Enflo and Arendt. Kreuter, 2020, provided a Perron method in Banach lattice settings for the Dirichlet problem of finding a harmonic function satisfying desired boundary behaviour, which relies on the interaction of vector valued functions with continuous dual elements and also on the assumption of the existence of continuous sub and supersolutions. In this talk, we introduce the notions of plurisubharmonicity and maximality for functions attaining values in a Banach lattice, present a Perron method for a Dirichlet problem for harmonic/maximal plurisubharmonic functions which based on approximation results for vector valued functions.
Bio: Umutcan Erdur earned his Bachelor degree in Mathematics from Gebze Institute of Technology (currently Gebze Technical University), Kocaeli, in 2010 and his Masters degree from Mimar Sinan Fine Arts University, Istanbul, in 2020. He is currently a Doctoral student in Mathematics at Sabanci University under the supervision of Prof. Nihat Gökhan Göğüş. His research interests are pluripotential theory, vector measures and integration theory, Banach lattices and positivity.