Measuring holes of hypersurfaces

26.04.2023 14:00 – 15:00

In 2000, Mikhalkin introduced a class of real algebraic planar curves now known as simple Harnack curves. Among their many nice properties, these curves appear as spectral curves of planar dimers. In this context, Kenyon and Okounkov showed that any simple Harnack curve is determined by the logarithmic area of some well chosen membranes bounded on the curve (plus some boundary conditions). This is a very special situation since, in general, the areas of these membranes only provide local coordinates on the space of curves under consideration.

Lieu

Bâtiment: Conseil Général 7-9

Room 6-13, Wednesday 26.04.2023, Séminaire "Geneva-Neuchatel Symplecitc Geometry seminar"

entrée libre