Georg Frenck

About me

I am a Postdoc in the differential geometry group at the Institute for Algebra and Geometry of the KIT. I obtained my PhD in Münster under the supervision of Johannes Ebert.

Research

My research interest lies in algebraic topology and differential geometry. In particular I am interested in the interplay of curvature conditions (mostly positive scalar curvature) and cobordism theory.

Publications and Preprints

  • Georg Frenck: “Diffeomorphisms and positive curvature”, 2021; arXiv:2104.10595.
    Video abstract: Diffeomorphisms and positive curvature
  • Georg Frenck, Jan-Bernhard Kordaß: “Spaces of positive intermediate curvature metrics”, 2020; arXiv:2011.11388, accepted for publication in Geometriae Dedicata
    DOI: 10.1007/s10711-021-00635-w
  • Georg Frenck, Jens Reinhold: “Spaces of metrics of positive Ricci curvature and bundles with non-multiplicative A-hat-genus”, 2020; arXiv:2010.04588, Int. Math. Res. Not., 2020.
    DOI: 10.1093/imrn/rnaa361
  • Georg Frenck, Fernando Galaz-Garcia, Philipp Reiser: “Cohomogeneity One Manifolds and Homogeneous Spaces of Positive Scalar Curvature”, 2020; arXiv:2009.13142.
  • Georg Frenck: “H-Space structures on spaces of metrics of positive scalar curvature”, 2020; arXiv:2004.01033.
  • Georg Frenck: “The action of the mapping class group on metrics of positive scalar curvature”, 2019; arXiv:1912.08613.
  • Johannes Ebert, Georg Frenck: “The Gromov-Lawson-Chernysh surgery theorem”, 2018; arXiv:1807.06311, Bol. Soc. Mat. Mex. (3), 2020.
    DOI: 10.1007/s40590-021-00310-w

Theses

Talks

Slides

  • The action of the Diff(M) on metrics of positive scalar curvature, from my colloquium talk in Maynooth (2019).
  • H-Space structures on metrics of positive scalar curvature, from my OberZOOMinar talk in Göttingen (2020).