[Turkmath:7634] Bogazici Universitesi Carsamba Seminerleri - ilan ekte

[ferit.ozturk at boun.edu.tr]

http://www.math.boun.edu.tr/index.php?option=com_content&task=section&id=49&Itemid=405

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Bogazici University Research Seminar

Examples of finitely determined map-germs

Ayse Altıntas
Yıldız Teknik Universitesi

Date : Wednesday, April 20, 2011
Time: 14:00
Place: TB 250, Bogazici Universitesi

Abstract: A holomorphic map-germ is said to be finitely determined with respect
to an equiva-
lence relation if it is determined by its Taylor series expansion up to a
finite
degree. The equivalence
relation that interests us the most is Right-Left equivalence which is induced
by an action of the
groups of local diffeomorphisms of the source and the target on the space of
holomorphic map-
germs from n-space to p-space. Classification of finitely determined map-germs,
or even finding
examples, becomes harder as the dimensions and corank get higher. In this talk,
I will present a
theorem for generating new examples from old and list three
”series”
of finitely determined map-
germs of corank 2 from 4-space to 5-space. I will finish by a discussion on the
geometry of the
examples.
References for background:
J. Martinet, Singularities of smooth functions and maps, Cambridge University
Press, 1982.
C.T.C. Wall, Finite determinacy of smooth map-germs, Bull. Lond. Math. Soc. 13
(1981), 481-539.

Tea and coffee will be served at 15:00
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