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L^2-invariants, homology growth and embedding theory

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Grigory Avramidi
Tue, 30/11/2021 - 10:15 - 11:45
Parent event: 
IMPRS Minicourse
For zoom details contact Christian Kaiser (
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 minicourse I will introduce L^2-Betti numbers and discuss the history of Singer's 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.



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