**SMS scnews item created by Laurentiu Paunescu at Thu 15 Sep 2011 1131**

Type: Seminar

Distribution: World

Expiry: 20 Sep 2011

**Calendar1: 20 Sep 2011 1200-1300**

**CalLoc1: Carslaw 707A**

Auth: laurent@bari.maths.usyd.edu.au

### Geometry

# Equivalence relations for real analytic function germs

### Satoshi Koike

Title : Equivalence relations for real analytic function germs
Abstract : Related to a coordinate change, \(C^r\) equivalences,
\(1 \le r \le \omega\), are natural equivalence relations
for real analytic function germs.
Lipschitz equivalence is natural also in Lipschitz Geometry.
On the other hand, Tzee-Char Kuo has introduced the notion
of blow-analytic equivalence towards the classification of
real singularities from the viewpoint of their analytic structure.
In this talk we discuss the relationship between blow-analytic
equivalence and \(C^r\) equivalence or Lipschitz equivalence.