Suchergebnis: Katalogdaten im Frühjahrssemester 2017

Doktorat Departement Mathematik Information
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
NummerTitelTypECTSUmfangDozierende
401-4904-00LCombinatorial Optimization Information W6 KP2V + 1UR. Zenklusen
KurzbeschreibungCombinatorial 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.
LernzielThe 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.
InhaltKey topics include:
- Polyhedral descriptions;
- Combinatorial uncrossing;
- Ellipsoid method;
- Equivalence between separation and optimization;
- Design of efficient approximation algorithms for hard problems.
SkriptNot 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 / BesonderesWe recommend that students interested in Combinatorial Optimization first attend the course "Mathematical Optimization" (401-3901-00L).
151-0530-00LNonlinear Dynamics and Chaos II Information W4 KP4GG. Haller
KurzbeschreibungThe internal structure of chaos; Hamiltonian dynamical systems; Normally hyperbolic invariant manifolds; Geometric singular perturbation theory; Finite-time dynamical systems
LernzielThe course introduces the student to advanced, comtemporary concepts of nonlinear dynamical systems analysis.
InhaltI. 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
SkriptStudents have to prepare their own lecture notes
LiteraturBooks will be recommended in class
Voraussetzungen / BesonderesNonlinear Dynamics I (151-0532-00) or equivalent
Seminare
NummerTitelTypECTSUmfangDozierende
401-3350-17LProducts and Nonlinearities in Function Space Theory Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 20
W4 KP1SL. Kobel-Keller, T. Rivière
KurzbeschreibungThe 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.
LernzielThe 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
NummerTitelTypECTSUmfangDozierende
401-5000-00LZurich Colloquium in Mathematics Information E-0 KPP. L. Bühlmann, M. Burger, S. Mishra, R. Pandharipande, Uni-Dozierende
KurzbeschreibungThe 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
401-5990-00LZurich Graduate Colloquium Information E-0 KP1KA. Iozzi, Uni-Dozierende
KurzbeschreibungThe 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
401-5110-00LNumber Theory Seminar Information E-0 KP1KÖ. Imamoglu, P. S. Jossen, E. Kowalski, P. D. Nelson, R. Pink, G. Wüstholz
KurzbeschreibungForschungskolloquium
LernzielVorträge über neue Themen aus der Forschung.
InhaltForschungsseminar in Algebra, Zahlentheorie und Geometrie, richtet sich insbesondere an Mitarbeiterinnen und Mitarbeiter sowie Doktorandinnen und Doktoranden.
401-5140-11LAlgebraic Geometry and Moduli Seminar Information E-0 KP2KR. Pandharipande
KurzbeschreibungResearch colloquium
Lernziel
401-5530-00LGeometry Seminar Information E-0 KP1KM. Burger, M. Einsiedler, A. Iozzi, U. Lang, A. Sisto, Uni-Dozierende
KurzbeschreibungForschungskolloquium
Lernziel
401-5580-00LSymplectic Geometry Seminar Information E-0 KP2KD. A. Salamon, A. Cannas da Silva
KurzbeschreibungForschungskolloquium
Lernziel
401-5350-00LAnalysis Seminar Information E-0 KP1KM. Struwe, A. Carlotto, F. Da Lio, A. Figalli, N. Hungerbühler, T. Kappeler, T. Rivière, D. A. Salamon
KurzbeschreibungForschungskolloquium
Lernziel
InhaltResearch seminar in Analysis
401-5330-00LTalks in Mathematical Physics Information E-0 KP1KA. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, C. A. Keller, H. Knörrer, T. H. Willwacher, Uni-Dozierende
KurzbeschreibungResearch colloquium
Lernziel
InhaltForschungsseminar mit wechselnden Themen aus dem Gebiet der mathematischen Physik.
401-5650-00LZurich Colloquium in Applied and Computational Mathematics Information E-0 KP2KR. Abgrall, R. Alaifari, H. Ammari, U. S. Fjordholm, A. Jentzen, S. Mishra, S. Sauter, C. Schwab
KurzbeschreibungForschungskolloquium
Lernziel
401-5600-00LSeminar on Stochastic Processes Information E-0 KP1KJ. Bertoin, A. Nikeghbali, P. Nolin, B. D. Schlein, A.‑S. Sznitman, V. Tassion, W. Werner
KurzbeschreibungForschungskolloquium
Lernziel
401-5620-00LResearch Seminar on Statistics Information E-0 KP2KP. L. Bühlmann, L. Held, T. Hothorn, D. Kozbur, M. H. Maathuis, N. Meinshausen, S. van de Geer, M. Wolf
KurzbeschreibungForschungskolloquium
Lernziel
401-5910-00LTalks in Financial and Insurance Mathematics Information E-0 KP1KP. Cheridito, P. Embrechts, M. Schweizer, M. Soner, J. Teichmann, M. V. Wüthrich
KurzbeschreibungForschungskolloquium
LernzielEinfuehrung in aktuelle Forschungsthemen aus dem Bereich "Insurance Mathematics and Stochastic Finance".
InhaltLink
401-5900-00LOptimization Seminar Information E-0 KP1KR. Zenklusen
KurzbeschreibungLectures on current topics in optimization.
LernzielThis lecture series introduces graduate students to ongoing research activities (including applications) in the domain of optimization.
InhaltThis 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.
252-4202-00LSeminar in Theoretical Computer Science Information E-2 KP2SE. Welzl, B. Gärtner, M. Hoffmann, J. Lengler, A. Steger, B. Sudakov
KurzbeschreibungPresentation of recent publications in theoretical computer science, including results by diploma, masters and doctoral candidates.
LernzielTo 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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