Learning objectives
Learn advanced notions of complex analysis and geometry.
Deal with open problems.
Prerequisites
Holomorphic functions of one and several complex variables.
Dolbeault cohomology.
Course unit content
Holomorphic functions of several variables. Kobayashi and Caratheodory metrics. Algebras of holomorphic functions. Extension problems and the boundary problem.
Full programme
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Bibliography
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.
Teaching methods
Standard blackboard lectures.
Assessment methods and criteria
Final exam will be an expository talk on a subject assigned by the theacher.
Other information
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2030 agenda goals for sustainable development
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