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Geometric Analysis and Partial Differential Equations Seminar

March 12, 2019 @ 11:30 am - 12:30 pm

Geometric Analysis and Partial Differential Equations Seminar Series at UOW
Speaker

Lachlan MacDonald (UOW)

Title

Dynamical invariants of foliated manifolds

Abstract

A foliation of a manifold M specifies the set of integral submanifolds (referred to in foliation theory as “leaves”) to some nonsingular system of differential equations on M.  The “holonomy” of integral curves in a foliated manifold gives rise to an intrinsic dynamical system, whose topology has implications for the global behaviour of solutions to the corresponding system of DEs.  In this talk, I will give a primer on foliations and their associated dynamical invariants, as well as discuss how this information can be accessed in the spirit of the Atiyah-Singer index theorem.

Details

Date:
March 12, 2019
Time:
11:30 am - 12:30 pm
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Venue

Building 35 Room G20
University of Wollongong
Wollongong, NSW Australia
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