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Karl-Theodor Sturm

Wintersemester 2025/26

  • Graduate Seminar on Probability Theory:
    Gaussian Free Field and Liouville Quantum Gravity         
    Di., 14-16 Uhr, Seminarraum 0.007
    Vorbesprechung am Mo., 28.07., 12:30 Uhr, Raum 0.006
    Abstract: PDF 
     
  • V5D3 Advanced Topics in Geometry:
    Geometric Analysis on Metric Measure Spaces
    Di., 10-12 Uhr, und Fr., 12-14 Uhr, Seminarraum 0.006
    Beginn: 14. Oktober 2025

    The lecture will provide an introduction to the field of geometric analysis on metric 
    measure spaces which has undergone a vast development and attracted much attention 
    in recent years. The topics will include:

    1) Metric spaces: speed of curves, gradient flows, Alexandrov curvature,…

    2) Optimal transport: Kantorovich duality, c-convexity, Kantorovich-Wasserstein distances, OT on manifolds,…

    3) Metric measure spaces: isomorphism, transport and distortion distances, curvature bounds and geodesics in the space of spaces,…

    4) Energy: gradient and Cheeger energy on mm-spaces, Dirichlet spaces, examples,…

    5) Dirichlet mm-spaces: geometric estimates, transformations, constructions,…

    6) Dirichlet mm-spaces of Harnack type: doubling and Poincaré, Gaussian heat kernel estimates, parabolic Harnack inequality,…