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Topology Seminar - Christoforos Neofytidis

Christoforos Neofytidis
January 28, 2020
3:00PM - 4:00PM
Cockins Hall 240

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Add to Calendar 2020-01-28 15:00:00 2020-01-28 16:00:00 Topology Seminar - Christoforos Neofytidis Title: Manifolds with no Ruelle-Sullivan Cohomology Classes   Speaker: Christoforos Neofytidis - The Ohio State University   Abstract: We exploit notions of geometric and algebraic topology as well as of geometric group theory, such as Gromov's simplicial volume, Steenrod-Thom's realisability of (co)homology classes by manifolds and outer automorphism groups, to show that the cohomology rings of certain classes of product manifolds do not contain Ruelle-Sullivan classes. We obtain consequences with respect to a long-standing problem in dynamics, namely classes of manifolds that do not support Anosov diffeomorphisms.   Seminar Link Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Title: Manifolds with no Ruelle-Sullivan Cohomology Classes
 
Speaker: Christoforos Neofytidis - The Ohio State University
 
Abstract: We exploit notions of geometric and algebraic topology as well as of geometric group theory, such as Gromov's simplicial volume, Steenrod-Thom's realisability of (co)homology classes by manifolds and outer automorphism groups, to show that the cohomology rings of certain classes of product manifolds do not contain Ruelle-Sullivan classes. We obtain consequences with respect to a long-standing problem in dynamics, namely classes of manifolds that do not support Anosov diffeomorphisms.
 

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