### 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]
Germs, Jets, Determinacy, Codimension (A summary of the first part of the Seminar)

Classification of Germs with Codimension ≤ 4
Unfoldings of Germs and Catastrophes (An overview of the last part of the Seminar)

#### 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