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Universität Augsburg
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Universität Augsburg
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Alexander Mai
Universität Augsburg
spricht am
Montag, 31. Oktober 2022
um
16 Uhr s.t.
im
2004/L1 und Zoom (hybride Veranstaltung)
über das Thema:
| Abstract: |
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After a quick introduction to the geometry basics, we recall the
invariants $J^+$ and $J^-$ from Vladimir Arnold and their properties, as
well as Viro's formula to compute their value of any immersion easily,
which we will then use to prove results about the behavior of $J^+$
under bifurcations. The proofs need little preparations and can then be
done with a neat visual argument around the features of bifurcations of
immersions. With the main work done, we then apply the results to the
invariants $\mathcal{J}_1$ and $\mathcal{J}_2$, which are closely
related to $J^+$ and were introduced by Cieliebak, Frauenfelder and van
Koert, which leads to some similar results and some special cases with
interesting properties.
If you want to take part via Zoom please ask Prof. Frauenfelder for login details: Urs.Frauenfelder@math.uni-augsburg.de |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Urs Frauenfelder |
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).