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The Singer conjecture in dimension three revisited and its extensions

Geometry/Topology seminar image
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Monday, January 25, 2021
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3:15 pm - 4:15 pm
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Luca Di Cerbo
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Geometry/topology Seminar

In this talk, I will show how Price inequalities for harmonic forms combined with some standard topology and geometry of 3-manifolds imply the Singer conjecture in dimension three. This provides an alternative proof of a result of Lott and Lueck (Invent. Math., 1995). Finally, I will outline some possible generalizations of this new approach in higher dimensions.
For zoom link, please contact Demetre Kazaras: demetre.kazaras@duke.edu.

Contact: Demetre Kazaras