Suchergebnis: Katalogdaten im Frühjahrssemester 2017
Doktorat Departement Mathematik Mehr Informationen unter: Link Die Liste der Lehrveranstaltungen (samt der zugehörigen Anzahl Kreditpunkte) für Doktoratsstudentinnen und Doktoratsstudenten wird jedes Semester im Newsletter der ZGSM veröffentlicht. Link ACHTUNG: Kreditpunkte fürs Doktoratsstudium sind nicht mit ECTS-Kreditpunkten zu verwechseln! | ||||||
Graduate School / Graduiertenkolleg Offizielle Website der Zurich Graduate School in Mathematics: Link | ||||||
Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |
---|---|---|---|---|---|---|
401-4904-00L | Combinatorial Optimization | W | 6 KP | 2V + 1U | R. Zenklusen | |
Kurzbeschreibung | Combinatorial Optimization deals with efficiently finding a provably strong solution among a finite set of options. This course discusses key combinatorial structures and techniques to design efficient algorithms for combinatorial optimization problems. We put a strong emphasis on polyhedral methods, which proved to be a powerful and unifying tool throughout combinatorial optimization. | |||||
Lernziel | The goal of this lecture is to get a thorough understanding of various modern combinatorial optimization techniques with an emphasis on polyhedral approaches. Students will learn a general toolbox to tackle a wide range of combinatorial optimization problems. | |||||
Inhalt | Key topics include: - Polyhedral descriptions; - Combinatorial uncrossing; - Ellipsoid method; - Equivalence between separation and optimization; - Design of efficient approximation algorithms for hard problems. | |||||
Skript | Not available. | |||||
Literatur | - Bernhard Korte, Jens Vygen: Combinatorial Optimization. 5th edition, Springer, 2012. - Alexander Schrijver: Combinatorial Optimization: Polyhedra and Efficiency, Springer, 2003. This work has 3 volumes. | |||||
Voraussetzungen / Besonderes | We recommend that students interested in Combinatorial Optimization first attend the course "Mathematical Optimization" (401-3901-00L). | |||||
151-0530-00L | Nonlinear Dynamics and Chaos II | W | 4 KP | 4G | G. Haller | |
Kurzbeschreibung | The internal structure of chaos; Hamiltonian dynamical systems; Normally hyperbolic invariant manifolds; Geometric singular perturbation theory; Finite-time dynamical systems | |||||
Lernziel | The course introduces the student to advanced, comtemporary concepts of nonlinear dynamical systems analysis. | |||||
Inhalt | I. The internal structure of chaos: symbolic dynamics, Bernoulli shift map, sub-shifts of finite type; chaos is numerical iterations. II.Hamiltonian dynamical systems: conservation and recurrence, stability of fixed points, integrable systems, invariant tori, Liouville-Arnold-Jost Theorem, KAM theory. III. Normally hyperbolic invariant manifolds: Crash course on differentiable manifolds, existence, persistence, and smoothness, applications. IV. Geometric singular perturbation theory: slow manifolds and their stability, physical examples. V. Finite-time dynamical system; detecting Invariant manifolds and coherent structures in finite-time flows | |||||
Skript | Students have to prepare their own lecture notes | |||||
Literatur | Books will be recommended in class | |||||
Voraussetzungen / Besonderes | Nonlinear Dynamics I (151-0532-00) or equivalent | |||||
Seminare | ||||||
Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |
401-3350-17L | Products and Nonlinearities in Function Space Theory Maximale Teilnehmerzahl: 20 | W | 4 KP | 1S | L. Kobel-Keller, T. Rivière | |
Kurzbeschreibung | The seminar is continuing on from the course ''Fourier analysis in Function Space theory'' given in HS 2016. We will first briefly recall the general Littlewood-Paley theory introduced in that course. After this review, we shall study applications of this theory to important problems relevant to the analysis of Partial Differential Equations which constitutes the main topics of the seminar. | |||||
Lernziel | The first hours of the seminar will be given by the organizer himself. The participants will then be asked to take over the rest of the seminar by choosing thematics out of the topics listed above. | |||||
Kolloquien | ||||||
Nummer | Titel | Typ | ECTS | Umfang | Dozierende | |
401-5000-00L | Zurich Colloquium in Mathematics | E- | 0 KP | P. L. Bühlmann, M. Burger, S. Mishra, R. Pandharipande, Uni-Dozierende | ||
Kurzbeschreibung | The lectures try to give an overview of "what is going on" in important areas of contemporary mathematics, to a wider non-specialised audience of mathematicians. | |||||
Lernziel | ||||||
401-5990-00L | Zurich Graduate Colloquium | E- | 0 KP | 1K | A. Iozzi, Uni-Dozierende | |
Kurzbeschreibung | The Graduate Colloquium is an informal seminar aimed at graduate students and postdocs whose purpose is to provide a forum for communicating one's interests and thoughts in mathematics. | |||||
Lernziel | ||||||
401-5110-00L | Number Theory Seminar | E- | 0 KP | 1K | Ö. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | Vorträge über neue Themen aus der Forschung. | |||||
Inhalt | Forschungsseminar in Algebra, Zahlentheorie und Geometrie, richtet sich insbesondere an Mitarbeiterinnen und Mitarbeiter sowie Doktorandinnen und Doktoranden. | |||||
401-5140-11L | Algebraic Geometry and Moduli Seminar | E- | 0 KP | 2K | R. Pandharipande | |
Kurzbeschreibung | Research colloquium | |||||
Lernziel | ||||||
401-5530-00L | Geometry Seminar | E- | 0 KP | 1K | M. Burger, M. Einsiedler, A. Iozzi, U. Lang, A. Sisto, Uni-Dozierende | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | ||||||
401-5580-00L | Symplectic Geometry Seminar | E- | 0 KP | 2K | D. A. Salamon, A. Cannas da Silva | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | ||||||
401-5350-00L | Analysis Seminar | E- | 0 KP | 1K | M. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, T. Kappeler, T. Rivière, D. A. Salamon | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | ||||||
Inhalt | Research seminar in Analysis | |||||
401-5330-00L | Talks in Mathematical Physics | E- | 0 KP | 1K | A. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, C. A. Keller, H. Knörrer, T. H. Willwacher, Uni-Dozierende | |
Kurzbeschreibung | Research colloquium | |||||
Lernziel | ||||||
Inhalt | Forschungsseminar mit wechselnden Themen aus dem Gebiet der mathematischen Physik. | |||||
401-5650-00L | Zurich Colloquium in Applied and Computational Mathematics | E- | 0 KP | 2K | R. Abgrall, R. Alaifari, H. Ammari, U. S. Fjordholm, A. Jentzen, S. Mishra, S. Sauter, C. Schwab | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | ||||||
401-5600-00L | Seminar on Stochastic Processes | E- | 0 KP | 1K | J. Bertoin, A. Nikeghbali, P. Nolin, B. D. Schlein, A.‑S. Sznitman, V. Tassion, W. Werner | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | ||||||
401-5620-00L | Research Seminar on Statistics | E- | 0 KP | 2K | P. L. Bühlmann, L. Held, T. Hothorn, D. Kozbur, M. H. Maathuis, N. Meinshausen, S. van de Geer, M. Wolf | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | ||||||
401-5910-00L | Talks in Financial and Insurance Mathematics | E- | 0 KP | 1K | P. Cheridito, P. Embrechts, M. Schweizer, M. Soner, J. Teichmann, M. V. Wüthrich | |
Kurzbeschreibung | Forschungskolloquium | |||||
Lernziel | Einfuehrung in aktuelle Forschungsthemen aus dem Bereich "Insurance Mathematics and Stochastic Finance". | |||||
Inhalt | Link | |||||
401-5900-00L | Optimization Seminar | E- | 0 KP | 1K | R. Zenklusen | |
Kurzbeschreibung | Lectures on current topics in optimization. | |||||
Lernziel | This lecture series introduces graduate students to ongoing research activities (including applications) in the domain of optimization. | |||||
Inhalt | This seminar is a forum for researchers interested in optimization theory and its applications. Speakers, invited from both academic and non-academic institutions, are expected to stimulate discussions on theoretical and applied aspects of optimization and related subjects. The focus is on efficient (or practical) algorithms for continuous and discrete optimization problems, complexity analysis of algorithms and associated decision problems, approximation algorithms, mathematical modeling and solution procedures for real-world optimization problems in science, engineering, industries, public sectors etc. | |||||
252-4202-00L | Seminar in Theoretical Computer Science | E- | 2 KP | 2S | E. Welzl, B. Gärtner, M. Hoffmann, J. Lengler, A. Steger, B. Sudakov | |
Kurzbeschreibung | Presentation of recent publications in theoretical computer science, including results by diploma, masters and doctoral candidates. | |||||
Lernziel | To get an overview of current research in the areas covered by the involved research groups. To present results from the literature. |
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