George Raptis



Katastrophentheorie/Catastrophe Theory

(Singularitäten differenzierbarer Abbildungen)

SS20, Mi 16-18, M101


Seminar Description


The Seminar is concerned with the classification of certain singularities of differentiable functions of several variables.
We will develop methods for the classification of these singularities and for the study of their genericity and stability
properties.

The topic of the Seminar forms a natural continuation of the lecture courses in Analysis. The Seminar talks will be held
in German or English. The written reports can be submitted in German or English. Link to GRIPS

Seminar Schedule [pdf]
An Introduction [pdf]

Slides from Talks


Germs, Jets, Determinacy, Codimension
Classification of Germs with Codimension ≤ 4

Recommended Reading


Th. Bröcker, ''Differentiable Germs and Catastrophes''
D.P.L. Castrigiano, S.A. Hayes, ''Catastrophe Theory''
Y.-C. Lu, ''Singularity theory and an Introduction to Catastrophe Theory''
T. Poston, I. Stewart, "Catastrophe Theory and Its Applications".

Prerequisites

Analysis I-II/Lineare Algebra I-II/Algebra