Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Classification of Transitive Anosov Flows
Speaker: Sekh Kiraj Ajij, TIFR, Mumbai
Date: November 25, 2024
Time: 15:15:00 Hours
Venue: A-369
Abstract: Anosov flows are generalization of geodesic flow in hyperbolic manifolds. It has been a long standing problem to classify Anosov flows in $3$-dimensions up to orbit equivalence. In this talk we will try to give a sketch of orbit equivalence of $\mathbb{R}$-covered Anosov flows based on a recent work of Thomas Barthelmé and Kathryn Mann. We will also introduce hyperbolic-like actions on $\mathbb{R}$ and show how it can be used for some classifications. Additionally we will discuss some topological restrictions on manifold in admitting an Anosov flow. If time permits we will discuss some applications.
Title of Talk: Classification of Transitive Anosov Flows
Speaker: Sekh Kiraj Ajij, TIFR, Mumbai
Date: November 25, 2024
Time: 15:15:00 Hours
Venue: A-369
Abstract: Anosov flows are generalization of geodesic flow in hyperbolic manifolds. It has been a long standing problem to classify Anosov flows in $3$-dimensions up to orbit equivalence. In this talk we will try to give a sketch of orbit equivalence of $\mathbb{R}$-covered Anosov flows based on a recent work of Thomas Barthelmé and Kathryn Mann. We will also introduce hyperbolic-like actions on $\mathbb{R}$ and show how it can be used for some classifications. Additionally we will discuss some topological restrictions on manifold in admitting an Anosov flow. If time permits we will discuss some applications.