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A Brief Introduction to Singularity Theory

Speaker: 
Alexey O. Remizov
Institution: 
SISSA - Trieste
Schedule: 
Thursday, October 22, 2009 - 10:00 to 11:00
Location: 
SISSA - Santorio A - room 133
Abstract: 

In this mini-course (about 3 lectures) I am planning to give a brief introduction to Singularity Theory. I will speak about singularities of plane curves, smooth functions and maps and implicit differential equations. In particular, the Division Theorem and Malgrange Preparation Theorem will be given (without proofs), and Whitney Theorem (about generic singularities of mappings of 2-manifolds) will be proved.

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