# 104.627 AKALG Selected topics in Ramsey theory This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023S

2023S, SE, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: SE Seminar
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to observe various Ramsey-type phenomena in different branches of mathematics, and apply connections between combinatorial and dynamical notions in this context.

## Subject of course

Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of mathematics that focuses on the appearance of order in a substructure given a structure of a known size.

More precisely, it is the study of quesions of the following type: given a combinatorial structure (e.g. a graph or a subset of the integers), how large does the structure have to be to guarantee the existence of some substructure (e.g. subgraph, subset) with a given property?

We investigate connections of such questions with various branches of mathematics such as topological dynamics, and applications e.g. to arithmetics, universal algebra, or theoretical computer science.

## Teaching methods

Each student gives about 2 lectures on selected topics.

## Mode of examination

Immanent

Please consider the plagiarism guidelines of TU Wien when writing your seminar paper: Directive concerning the handling of plagiarism (PDF)

## Course dates

DayTimeDateLocationDescription
Thu10:00 - 12:0002.03.2023 - 29.06.2023Zeichensaal 3 Selected Topics in Ramsey theory
AKALG Selected topics in Ramsey theory - Single appointments
DayDateTimeLocationDescription
Thu02.03.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu09.03.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu16.03.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu23.03.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu30.03.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu20.04.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu27.04.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu04.05.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu11.05.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu25.05.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu01.06.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu15.06.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu22.06.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory
Thu29.06.202310:00 - 12:00Zeichensaal 3 Selected Topics in Ramsey theory

## Examination modalities

Continuous assessment.

Not necessary

## Curricula

Study CodeObligationSemesterPrecon.Info
860 GW Optional Courses - Technical Mathematics Not specified

## Literature

No lecture notes are available.

## Previous knowledge

Logic or algebra.

English