Mathematical Institute, University of Freiburg, Teaching

Course program for the module Undergraduate Seminar in the study program Bachelor of Science (PO 2021) in Winter term 2024/25

Detailed information can be found in the course descriptions and in the module handbooks (in German only).

3a. Undergraduate Seminars

Please note the registration modalities for the individual proseminars published in the comments to the course catalog: As a rule, places are allocated after pre-registration by e-mail at the preliminary meeting at the end of the lecture period of the summer semester. You must then register online for the examination; the registration period runs from August 1, 2024 to October 9, 2024; if you would like to attend a proseminar but have not been allocated a place, please contact the degree program coordinator immediately.

Time and place

Seminar: Mi, 12-14h, SR 125, Ernst-Zermelo-Str. 1, Fr, 13-15h, SR 404, Ernst-Zermelo-Str. 1
Preregistration:
Preliminary Meeting 16.07., 10:15, Raum 232, Ernst-Zermelo-Str. 1
Preparation meetings for talks: Dates by arrangement

Teaching

Teacher: Angelika Rohde
Assistant: Johannes Brutsche
Language: in German

Content

Paul Erd\H{o}s liked to talk about the BOOK in which God keeps the \textit{perfect} proofs of mathematical theorems, according to the famous quote by G. H. Hardy that "there is no permanent place for ugly mathematics" ([1], Preface). In an attempt at a best approximation to this BOOK, Aigner and Ziegler have published a large number of sentences with elegant, sophisticated, and sometimes surprising evidence. In this proseminar, a selection of these results will be presented. The spectrum of topics covers all different areas of mathematics, from number theory, geometry, analysis, and combinatorics to graph theory and includes well-known results, such as Littlewood and Offord's lemma, the Dinitz problem, Hilbert's third problem (of his 23 problems presented at the International Congress of Mathematicians in Paris in 1900), the Borsuk conjecture, and many more.

Previous knowledge

Linear Algebra~I and II, Analysis~I and II

Usability

Undergraduate Seminar

3b. Seminars

Please note the registration modalities for the individual seminars published in the comments to the course catalog: As a rule, places are allocated after pre-registration by e-mail at the preliminary meeting at the end of the lecture period of the summer semester. You must then register online for the exam; the registration period runs from August 1, 2024 to October 9, 2024.