Department Mathematik
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Oberseminar Geometrie und Topologie

(run by Sebastian Hensel, Christian Lange, Bernhard Leeb, and Leopold Zoller)

The seminar takes place on Thursdays, 16:15, in room B004. The list of talks will be updated throughout the semester.

  • November 18th, 2021: Christian Lange (LMU): How highly connected can an orbifold be?
  • November 25th, 2021: Andres Rodriguez Migueles (LMU): Geodesics on hyperbolic surfaces and knot complements
    Due to the Hyperbolization Theorem, we know precisely when a given compact three dimensional manifold admits a hyperbolic metric. Moreover, by the Mostow's Rigidity Theorem this geometric structure is unique. However, finding effective and computable connections between the geometry and topology is a challenging problem. Most of the results on this thesis fit into the theme of making the connections more concrete. To every oriented closed geodesic on a hyperbolic surface has a canonical lift on the unit tangent bundle of the surface, and we can see it as a knot in a three dimensional manifold. The knot complement given in this way has a hyperbolic structure. The objective of this thesis is to estimate the volume of the canonical lift complement in terms of properties of the closed geodesics.
  • December 2nd, 2021: Leopold Zoller (LMU): A slice through torus actions and combinatorics
  • January 20th, 2022: Anna Ribelles Perez (LMU):
  • January 27th, 2022: Sebastian Hensel (LMU): The Strong Haken Theorem