Group Theory Seminar

On the Singer conjecture for some virtually special groups

Speaker:  Grigiri Avramidi ()
Date:  Thursday, 20 March 2025 - 11:00
Place:  Aula Naranja, ICMAT

Abstract:

The Singer conjecture predicts concentration of L^2-Betti numbers for closed aspherical manifolds. I'll discuss recent progress on this conjecture for Tomei manifolds and some Gromov-Thurston branched covers, exploiting the fact that these manifolds have virtually special fundamental groups. One consequence is a counterexample to Lueck's homology torsion growth conjecture. Joint work with Boris O

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