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Universität Augsburg
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Universität Augsburg
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Dr. Miruna-Stefana Sorea
„Lucian Blaga" University of Sibiu, Romania
spricht am
Dienstag, 16. April 2024
um
17:30 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| By a singularity we mean a germ of real or complex analytic function with an isolated critical point. By a Morse function on a compact manifold with boundary we mean a smooth function having only non-degenerate critical points, all of them interior to the manifold, and pairwise distinct critical values. A powerful method for analyzing a singularity is to deform it in a suitable way and relate it to the various resulting simpler singularities. This method has been extensively used for complex singularities. However, similar morsifications of real singularities have been much less studied, even in the case of one variable. In this talk, we examine the combinatorial types of morsifications of univariate real singularities, via planar contact trees constructed from Newton-Puiseux roots of the polar curves of the morsifications. This is based on joint work with Arnaud Bodin, Evelia Rosa García Barroso, and Patrick Popescu-Pampu (see arXiv:2306.04601). |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. André Uschmajew |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).