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Université
de Fribourg, Suisse
Faculté des sciences et de médecine Département de mathématiques |
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| Geometric function theory SP 2021 | |
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Patrick Ghanaat
This course will be given online: Moodle |
SMA.03577
SMA.04577 |
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Course content
The course provides an introduction to geometric aspects of one-dimensional complex analysis. Topics: Review of holomorphic functions, Riemann mapping theorem, boundary continuity of conformal maps, prime ends, Riemann surfaces and uniformization, hyperbolic metrics and Picard's theorem, Bloch's theorem, Ahlfors extension of the Schwarz Lemma, univalent functions Exam preparation
Contents and sample questions References
Wolfgang Fischer, Ingo Lieb, Ausgewählte Kapitel der Funktionentheorie Reinhold Remmert, Georg Schumacher, Funktionentheorie 2 Barry Simon, Advanced complex analysis John Milnor, Dynamics in one complex variable Edward Collingwood, Arthur J. Lohwater, The theory of cluster sets Lars Ahlfors, Conformal invariants |
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