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

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

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

Language: English

Lecturers

Classes (iCal) - next class is marked with N

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

Information

Aims, contents and method of the course

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MALS, MGES

Last modified: Mo 07.09.2020 15:40