ADVANCED GEOMETRY 2
Learning outcomes of the course unit
Learn advanced notions of complex analysis and geometry.
Deal with open problems.
Holomorphic functions of one and several complex variables.
Course contents summary
Holomorphic functions of several variables. Kobayashi and Caratheodory metrics. Algebras of holomorphic functions. Extension problems and the boundary problem.
Della Sala, Saracco, Simioniuc, Tomassini: Lectures on complex and analytic geometry, Edizioni della Normale 2006.
Abate: Iteration theory of holomorphic maps on taut manifolds, Mediterranean Press 1989.
Saracco: Extension problems in complex and CR geometry, Edizioni della Normale 2008.
Standard blackboard lectures.
Assessment methods and criteria
Final exam will be an expository talk on a subject assigned by the theacher.