Bernd Sturmfels (Max Plank Institute)
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PDL C-38
Title pretalk: Graph Curves
Abstract pretalk: We discuss arrangements of 2g-2 lines in a projective space of dimension g-1, where each line intersects three other lines. How to write the polynomials that cut out such a reducible curve, and how to perturb its coefficients? We aim for audience participation in the cases g = 3,4,5.
Title: Maximal Mumford Curves from Planar Graphs
Abstract: We discuss article with Mario Kummer and Raluca Vlad in real non-archimedean geometry. A curve of genus g is maximal Mumford (MM) if it has g+1 ovals and g tropical cycles. These concepts will be explained by many colorful pictures. The main result is a construction of full-dimensional families of MM curves in the Hilbert scheme of canonical curves.