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Smooth Models for Fibered Partially Hyperbolic Systems

The Golden Hourglass by Craig Schaffer
February 29, 2024
2:30PM - 3:30PM
Hitchcock Hall 030

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Add to Calendar 2024-02-29 14:30:00 2024-02-29 15:30:00 Smooth Models for Fibered Partially Hyperbolic Systems Title:  Smooth Models for Fibered Partially Hyperbolic SystemsSpeaker:  Meg Doucette (U. Chicago)Speaker's URL:  https://math.uchicago.edu/~doucette/Abstract:  I will discuss the existence and construction of smooth models for certain fibered partially hyperbolic systems. Fibered partially hyperbolic systems are partially hyperbolic diffeomorphisms that have an integrable center bundle, tangent to a continuous invariant fibration by invariant submanifolds. I will explain how under certain restrictions on the fiber, any fibered partially hyperbolic system over a nilmanifold is leaf conjugate to a smooth model that is isometric on the fibers and descends to a hyperbolic nilmanifold automorphism on the base. I will then discuss some preliminary work on removing or weakening the assumptions on the fiber.URL associated with Seminar:  https://u.osu.edu/ergodictheory/#:~:text=Abstract%3A%20A%20collection%20of%20integer,the%20product%20of%20the%20integrals.  Hitchcock Hall 030 Department of Mathematics math@osu.edu America/New_York public

Title:  Smooth Models for Fibered Partially Hyperbolic Systems

Speaker:  Meg Doucette (U. Chicago)

Speaker's URL:  https://math.uchicago.edu/~doucette/

Abstract:  I will discuss the existence and construction of smooth models for certain fibered partially hyperbolic systems. Fibered partially hyperbolic systems are partially hyperbolic diffeomorphisms that have an integrable center bundle, tangent to a continuous invariant fibration by invariant submanifolds. I will explain how under certain restrictions on the fiber, any fibered partially hyperbolic system over a nilmanifold is leaf conjugate to a smooth model that is isometric on the fibers and descends to a hyperbolic nilmanifold automorphism on the base. I will then discuss some preliminary work on removing or weakening the assumptions on the fiber.

URL associated with Seminar:  https://u.osu.edu/ergodictheory/#:~:text=Abstract%3A%20A%20collection%20of%20integer,the%20product%20of%20the%20integrals.
 

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