Universität Wien

250149 SE Seminar (Symmetries and asymmetries) (2018S)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Prüfungsimmanente Lehrveranstaltung

Symmetry is omnipresent in mathematics. In this seminar, we will discuss various instances of symmetry in concrete situations, as e.g. graph-theory, particle physics, convex polytopes, differential equations, and invariant theory.

Participants are invited to propose topics on their own, and may also prepare lectures in pairs. In any case we ask you to send until end of february an e-mail to herwig.hauser@univie.ac.at so as to estimate the number of participants and to plan the presented topics in advance.

Here are a couple of topics to be discussed (the first few are already reserved):

Symmetries in Physics with extension to Supersymmetry

On nature’s lack of ambidexterity: Broken symmetries in particle physics

Antimatter and Symmetries

The First Fundamental Theorem of Invariant Theory and Noethers Bound

Symmetric Graphs, Graph-Automorphisms, Frucht's Theorem

Moduli Spaces of Billiards

Rubik's Cube

Platonic solids

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The Icosahedron and Klein's Erlangen Program

Symmetries of the Hyperbolic Plane

Embedding of isometries SE_3(R) into dual Quaternions H[e], Linkages

Wallpaper groups, Crystallographic groups

Almost symmetry (where does symmetry almost hold?)

Normal forms (matrices, functions, vector fields, differential forms, ...)

Orthogonal polynomials and Umbral Calculus (Laguerre, Legendre, Gegenbauer, Bernoulli, Tchebychev, ...)

Musical systems

Eigenfunctions in the Inner Ear, Perception of Sound

Circadian Rhythms and Clock Genes, Time Perception (Nobelprize 2017)

Details

Sprache: Englisch

Lehrende

Termine (iCal) - nächster Termin ist mit N markiert

  • Dienstag 06.03. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 13.03. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 20.03. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 10.04. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 17.04. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 24.04. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 08.05. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 15.05. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Freitag 25.05. 09:45 - 11:15 Seminarraum 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 29.05. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 05.06. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 12.06. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 19.06. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Dienstag 26.06. 16:45 - 18:15 Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

Art der Leistungskontrolle und erlaubte Hilfsmittel

Mindestanforderungen und Beurteilungsmaßstab

Prüfungsstoff

Literatur

Zuordnung im Vorlesungsverzeichnis

MALS, MGES

Letzte Änderung: Mo 07.09.2020 15:40