Variations of a conjecture of Singer

  • Venue:

    20.30 SR 1.067

  • Date:


  • Speaker:

    Grigori Avramidi

  • Time:


  • Abstract:

    For a closed manifold M with contractible universal cover, the Singer conjecture predicts that the L^2-Betti numbers of M are concentrated in the middle dimension. In this talk I will discuss the history of this conjecture, its reinterpretation as a question about rational homology growth in finite covers, and how variations involving torsion and F_p homology growth can be addressed with the help of some very classical embedding theory.