Einstein Workshop Geometric and Topological Combinatorics

Location: Freie Universität Berlin, Königin Luise Straße 24/26, 14195 Berlin

Defense Lauri Loiskekoski

Location: Seminar Room Arnimallee 2 14195 Berlin

Open-Acess-World-Café

Location: Freie Universität Berlin, Seminarzentrum, Raum: L 113 und L 116 (Erdgeschoss), Otto-von-Simson-Str. 26 (Silberlaube), 14195 Berlin

Reading Group on Real Algebraic Geometry

Location: Max Planck Institute for Mathematics in the Sciences Inselstraße 22 04103 Leipzig Germany

Defense Albert Haase

The square peg problem is at least 106 years old and still unsolved in full generality. It asks whether any simple closed curve in the plane inscribes a square. By “inscribes a square” we mean that the curve contains the four vertices of a square. The square itself may intersect both the bounded and unbounded components. Substantial progress on the problem has been made using methods from equivariant topology: Piecewise linear, analytic, convex, and locally monotone curves are all known to inscribe squares. We present a recent positive result by T. Tao that takes an entirely different, “analytical” approach involving areas defined by line integrals and Stokes’ theorem.

Location: Seminar Room

Defense Tobias Friedl

Location: Seminar Room