Universität Wien
Warning! The directory is not yet complete and will be amended until the beginning of the term.

250072 SE Algebra (2024W)

4.00 ECTS (2.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work
Th 23.01. 09:45-11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

max. 25 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 03.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 10.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 17.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 24.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 31.10. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 07.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 14.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 21.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 28.11. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 05.12. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 12.12. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 09.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 16.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Thursday 30.01. 09:45 - 11:15 Seminarraum 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

The seminar sits at the crossroad between Number Theory, Graph Theory, Group Theory and Representation Theory.

It will be a reading-seminar, in which we study the book "Elementary Number Theory, Group Theory and Ramanujan Graphs", by G. DAVIDOFF, P. SARNAK & A. VALETTE.

We will be interested in Ramanujan Graphs, some highly connected but sparse graphs. Besides their interest in combinatorics and graph theory, these graphs have applications to computer science and engineering. We will recall some Graph Theory, some basic Number Theory (as the quadratic reciprocity law and quaternions) and some Group Theory, mainly focussed on the group PGL(2).

Prerequisites for the Bachelor Algebra courses and some basic knowledge of analysis and combinatorics.

Assessment and permitted materials

Each student will have to give one presentation based on sections of the above book.

Minimum requirements and assessment criteria

One presentation and at least 80% of presence during the semester.

Examination topics

No exam

Reading list

G. DAVIDOFF, P. SARNAK & A. VALETTE, Elementary Number Theory, Group Theory and Ramanujan Graphs.

Association in the course directory

MALS

Last modified: Th 29.08.2024 11:46