## Paul Biran: Catalogue data in Spring Semester 2020 |

Name | Prof. Dr. Paul Biran |

Field | Mathematics |

Address | Professur für Mathematik ETH Zürich, HG G 63.1 Rämistrasse 101 8092 Zürich SWITZERLAND |

Telephone | +41 44 632 64 50 |

paul.biran@math.ethz.ch | |

URL | http://www.math.ethz.ch/~biranp |

Department | Mathematics |

Relationship | Full Professor |

Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|

401-3556-20L | Topics in Symplectic Topology | 6 credits | 3V | P. Biran | |

Abstract | This 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. | ||||

Objective | Get acquainted with the basics of symplectic topology and phenomena of symplectic rigidity. | ||||

Literature | 1) 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. | ||||

401-5580-00L | Symplectic Geometry Seminar | 0 credits | 2K | P. Biran, A. Cannas da Silva | |

Abstract | Research colloquium | ||||

Objective | |||||

406-2303-AAL | Complex AnalysisEnrolment 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 credits | 13R | P. Biran | |

Abstract | Complex 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 | |||||

Literature | L. 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 / Notice | The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. |