Paul Biran: Catalogue data in Spring Semester 2020

Name Prof. Dr. Paul Biran
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 63.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 64 50
E-mailpaul.biran@math.ethz.ch
URLhttp://www.math.ethz.ch/~biranp
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-3556-20LTopics in Symplectic Topology6 credits3VP. Biran
AbstractThis 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.
ObjectiveGet acquainted with the basics of symplectic topology and phenomena
of symplectic rigidity.
Literature1) 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 credits2KP. Biran, A. Cannas da Silva
AbstractResearch colloquium
Objective
406-2303-AALComplex Analysis
Enrolment ONLY for MSc students with a decree declaring this course unit as an additional admission requirement.

Any other students (e.g. incoming exchange students, doctoral students) CANNOT enrol for this course unit.
6 credits13RP. Biran
AbstractComplex 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.
Objective
LiteratureL. 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
Prerequisites / NoticeThe precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material.