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Suchergebnis: Katalogdaten im Herbstsemester 2015

Mathematik Master Information
Seminare und Semesterarbeiten
Seminare
Bitte Seminare frühzeitig im myStudies belegen, damit wir einen allfälligen Bedarf an weiteren Seminaren rechtzeitig erkennen. Bei einigen Seminaren werden Wartelisten geführt. Belegen Sie trotzdem höchstens zwei Mathematik-Seminare. In diesem Fall bekunden Sie für das Seminar, das Sie zuerst belegen, eine höhere Präferenz.
NummerTitelTypECTSUmfangDozierende
401-3050-65LStudent Seminar in Combinatorics: Linear Complementarity Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 18
W4 KP2SK. Fukuda
KurzbeschreibungWe study the combinatorics and the complexity of various subclasses of the linear complementarity problem.
LernzielTo understand the importance of linear complementarity as a common generalization of linear programming, bimatrix games and
convex quadratic programming.
InhaltThe Linear Complementarity Problem (LCP) was introduced in mid 1960's (1965-67) by Lemke and Cottle-Dantzig
as a common generalization of linear programming, bimatrix game and convex quadratic programming.
The problem is NP-hard in general, but there are many subclasses of LCP that are in P (polynomially solvable)
or suspected to be in P. The reason for the possible polynomially solvability is that these studied
subclasses (e.g. P-matrix LCPs and positive-definite LCPs) can be formulated as a problem which
admits a solution that has a succinct certificate for its correctness. Moreover, there are elegant
combinatorial abstractions of these subclasses.

In this seminar, we study the most important papers/books, both old and new, in the theory of LCP, and
aim at understanding what is crucial lack of knowledge in proving or disproving existing conjectures.
LiteraturTo be posted here before the first class on September 15.

The seminar schedule and a list of articles:
http://www.inf.ethz.ch/personal/fukudak/lect/lcsemi/lcseminar2015_ref.pdf
(Version October 7, 2015). Please check the version date, as it gets updated frequently.

Accepted Reports:
http://www.inf.ethz.ch/personal/fukudak/lect/lcsemi/reports


The slides of the overview (Revised on September 22, 2015):
Link .
Voraussetzungen / BesonderesBasic knowlege of linear programming.
401-3110-65LMonstrous Moonshine Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 16
W4 KP2SC. A. Keller
KurzbeschreibungWe study Monstrous Moonshine, the surprising connection between modular forms and the Monster group.
LernzielTo understand the equation 196884 = 196883 + 1.
Inhaltsee Link
Voraussetzungen / BesonderesAlgebra I and II. Some familiarity with modular forms and Lie algebras is helpful, but not crucial: all necessary concepts will be introduced in the early talks.
401-3320-65LAlgebraic Groups and Actions Belegung eingeschränkt - Details anzeigen
The seminar is for more advanced students. Registration is officially closed, but if Prof. Doran agrees, further registrations (via the Study Administration) might be possible.
W4 KP2SB. R. Doran
Kurzbeschreibung
Lernziel
401-4460-62LFunctional Analysis III Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 12
W4 KP2SM. Einsiedler
KurzbeschreibungWe will discuss various additional topics in Functional Analysis: unitary representations of abelian and non-abelian groups, Choquet's theorem on extremal points, distributions, amenability and property (T).
Lernziel
Voraussetzungen / BesonderesPrerequisites: Functional Analysis I and II
401-4600-65LStudent Seminar in Probability: Gaussian Processes on Trees Information Belegung eingeschränkt - Details anzeigen
Limited number of participants.
Registration to the seminar will only be effective once confirmed by email from the organizers.
W4 KP2SA.‑S. Sznitman, J. Bertoin, A. Knowles, P. Nolin, W. Werner
KurzbeschreibungThe seminar will discuss results concerning branching Brownian motion.
Lernziel
InhaltThe seminar is centered around a topic in probability theory which changes each semester.
Voraussetzungen / BesonderesThe student seminar in probability is held at times at the undergraduate level (typically during the spring term) and at times at the graduate level (typically during the autumn term). The themes vary each semester.

The number of participants to the seminar is limited. Registration to the seminar will only be effective once confirmed by email from the organizers.
401-3600-65LRegularity Structures Belegung eingeschränkt - Details anzeigen
Teilnehmerzahl: 15 bis maximal 20
W4 KP2SJ. Teichmann
KurzbeschreibungThe seminar introduces and discusses main theorems around Martin Hairer's regularity structures following the article "Introduction to regularity structures" (Braz Jour Prob Stat 29).
Lernziel
Voraussetzungen / BesonderesThe seminar is suited for Bachelor and Master students. Some knowledge in linear functional analysis and algebra is required.
401-3650-65LNumerical Analysis Seminar: Mathematics for Nanophotonics
Limited number of participants.
W4 KP2SH. Ammari
KurzbeschreibungThe aim of this seminar is to review new and fundamental mathematical
tools, computational approaches, and inversion and optimal design methods
to address challenging problems in nanophotonics. An emphasis will be put
on analyzing plasmon resonant nanoparticles.
Lernziel
401-4660-65LMathematics of Computerized Tomography Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 10
W4 KP2SR. Alaifari
KurzbeschreibungThis seminar should provide an overview of the mathematical principles and fundamental concepts behind computerized tomography. The main topics are the Radon transform and its properties, inversion formulas, ill-posedness and reconstruction techniques.
Lernziel
263-4200-00LSeminar SAT Information W2 KP2SE. Welzl
KurzbeschreibungStudy and presentation of research papers from the literature on "Boolean Satisfiability-Combinatorics and Algorithms".
LernzielGoal of this seminar is to study and present, in continuation of the course "Boolean Satisfiability-Combinatorics and Algorithms", research papers from the literature.
LiteraturA list of papers for presentations will be distributed at the beginning of the seminar.
Voraussetzungen / BesonderesThe seminar builds heavily on the material covered in the course "Boolean Satisfiability-Combinatorics and Algorithms." Successful completion of that course is a prerequisite for participation in the seminar.
263-4203-00LGeometry: Combinatorics and Algorithms Information
Findet dieses Semester nicht statt.
W2 KP2SB. Gärtner, E. Welzl
KurzbeschreibungThis seminar is held once a year and complements the courses Computational Geometry and Geometric Graphs: Combinatorics & Algorithms. Students of the seminar will present original research papers, some classic and some of them very recent. The seminar is a good preparation for a master, diploma, or semester thesis in the area.
LernzielEach student is expected to read, understand, and elaborate on a selected research paper. To this end, (s)he should give a 45-min. presentation about the paper. The process includes

* getting an overview of the related literature;
* understanding and working out the background/motivation:
why and where are the questions addressed relevant?
* understanding the contents of the paper in all details;
* selecting parts suitable for the presentation;
* presenting the selected parts in such a way that an audience
with some basic background in geometry and graph theory can easily understand and appreciate it.
Voraussetzungen / BesonderesTo attend the seminar, some basic knowledge in (discrete and computational) geometry and graphs and algorithms is required. Thus, previous participation in some of the courses "Graphs and Algorithms", "Computational Geometry", "Geometric Graphs: Combinatorics & Algorithms", or similar courses is strongly encouraged. It is also possible to take this seminar in parallel to the lecture "Computational Geometry".
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