Seminar: Topology vs. Combinatorics, WS 2018/19

News

The Templates for reports/handouts are online (see below); of course, you can also produce the report/handout by other means.
The schedule is now available.
The organisational meeting for this seminar will be on Friday, July 6, at 13:45 (M 201). Alternatively, you can register for this seminar by sending an email to clara.loeh@mathematik.uni-r.de .
The talks are distributed and all registered participants should have received an email.
This seminar accompanies the Algebraic Topology course; no previous knowledge of algebraic topology is necessary.
This seminar will be held in English. The written report can be in English or German. The handouts should be in English.

Seminar: Topology vs. Combinatorics

Many topological objects admit simple combinatorial descriptions. This simplifies the computation of invariants from algebraic topology.

Conversely, we can enhance combinatorial objects to topological objects and then analyse these with methods from algebraic topology. For example, this leads to an elegant approach to colouring and embedding problems for graphs. does RP2 embed into R3?

In this seminar, we will study both combinatorial aspects of algebraic topology and applications of algebraic topology in discrete mathematics.

Time/Location

Wednesday, 8:30--10:00, M 102

Material

Overview of all talks (and some organisatorial hints).
LaTeX template for handouts: .tex, .pdf
LaTeX template for reports: .tex, .pdf
Hints on writing mathematical texts (in German)
More such hints
Small print on slide talks

Prerequisites

Analysis I/II, Linear Algebra I/II; basic group theory as taught in (Linear) Algebra; no previous knowledge in Algebraic Topology is necessary, but it is certainly helpful to attend the Algebraic Topology course in WS 18/19.
This seminar is suitable for Bachelor/Master students and Lehramtsstudenten with an interest in topology and combinatorics, and could be the starting point for a project under my supervision (e.g., bachelor or master thesis).

Formalities/Credits

See the commented list of courses.

Last Change: July 21, 2018.