January 28, 2020
3:00PM - 4:00PM
Cockins Hall 240
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2020-01-28 16:00:00
2020-01-28 17:00:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.