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Georgios Dimitroglou-Rizell

Rational convex surfaces with only hyperbolic complex tangencies
Vendredi, 3 Mai, 2024 - 10:30
Résumé : 
We combine techniques from symplectic topology and complex analysis to construct examples of rationally convex surfaces of genus g that are totally real outside of a number 2g-2 hyperbolic tangencies. We construct unknotted examples in the standard unit contact sphere in C2 that admit analytic fillings, as well as exact (and hence analytically non-fillable) knotted examples inside C2. This is joint work with Mark Lawrence.


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