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Geometric Group Theory Seminar - Shi Wang

Geometric Group Theory Seminar
November 20, 2018
1:50PM - 2:50PM
Math Tower 154

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Add to Calendar 2018-11-20 13:50:00 2018-11-20 14:50:00 Geometric Group Theory Seminar - Shi Wang Title: Homological norms on nonpositively curved manifolds Speaker: Shi Wang (Indiana University Bloomington) Abstract: Gromov norm is a topological invariant that measures how efficiently a homology class can be represented by the linear combinations of singular simplices. In this talk, we relate the Gromov norm on homology classes to the harmonic norm on the dual cohomology and obtain double sided bounds in terms of the volume and other geometric quantities of the underlying manifolds. This extends the previous result of Brock and Dunfield. Seminar URL: https://research.math.osu.edu/ggt/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Homological norms on nonpositively curved manifolds

SpeakerShi Wang (Indiana University Bloomington)

Abstract: Gromov norm is a topological invariant that measures how efficiently a homology class can be represented by the linear combinations of singular simplices. In this talk, we relate the Gromov norm on homology classes to the harmonic norm on the dual cohomology and obtain double sided bounds in terms of the volume and other geometric quantities of the underlying manifolds. This extends the previous result of Brock and Dunfield.

Seminar URLhttps://research.math.osu.edu/ggt/

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