Paul Biran: Katalogdaten im Frühjahrssemester 2020

NameHerr Prof. Dr. Paul Biran
Professur für Mathematik
ETH Zürich, HG G 63.1
Rämistrasse 101
8092 Zürich
Telefon+41 44 632 64 50
BeziehungOrdentlicher Professor

401-3556-20LTopics in Symplectic Topology6 KP3VP. Biran
KurzbeschreibungThis will be an introductory course in symplectic geometry and topology.
We will cover the simplest instances of symplectic rigidity phenomena, and techniques to detect and study them. The last part of the course will be devoted to more advanced techniques such as Floer theory.
LernzielGet acquainted with the basics of symplectic topology and phenomena
of symplectic rigidity.
Literatur1) Book: "Introduction to Symplectic Topology", 3'rd edition, by McDuff and Salamon.
Oxford Graduate Texts in Mathematics

2) Some published articles that will be announced during the semester.
401-5580-00LSymplectic Geometry Seminar Information 0 KP2KP. Biran, A. Cannas da Silva
406-2303-AALComplex Analysis
Belegung ist NUR erlaubt für MSc Studierende, die diese Lerneinheit als Auflagenfach verfügt haben.

Alle anderen Studierenden (u.a. auch Mobilitätsstudierende, Doktorierende) können diese Lerneinheit NICHT belegen.
6 KP13RP. Biran
KurzbeschreibungComplex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, conformal mappings, Riemann mapping theorem.
LiteraturL. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co.

B. Palka: "An introduction to complex function theory."
Undergraduate Texts in Mathematics. Springer-Verlag, 1991.

R.Remmert: Theory of Complex Functions.. Springer Verlag

E.Hille: Analytic Function Theory. AMS Chelsea Publication
Voraussetzungen / BesonderesThe precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.