Browsing by Author "Hertling, Claus"

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    Geometry behind one of the Painlevé III differential equations
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH, 2018) Hertling, Claus
    The Painlevé equations are second order differential equations, which were first studied more than 100 years ago. Nowadays they arise in many areas in mathematics and mathematical physics. This snapshot discusses the solutions of one of the Painlevé equations and presents old results on the asymptotics at two singular points and new results on the global behavior.
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    Singularity Theory and Integrable Systems
    (Zürich : EMS Publ. House, 2012) Hertling, Claus; Strachan, Ian B.; Wendland, Katrin
    The workshop brought together three very different areas of mathematics, namely singularity theory, integrable systems and quantum cohomology. They are linked by their applications in topological quantum field theory and by constructions of (often isomorphic) Frobenius manifolds. The first and second are related by a version of mirror symmetry, the link of the second and third has attracted much attention. The connection of the first and third is the least developed and was at the focus of the workshop.