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Organizing Committee

Annalisa Calini
College of Charleston

Boris Khesin
University of Toronto

Gloria Mari-Beffa
University of Wisconsin

Vadim Zharnitsky
University of Illinois

Abstract

This workshop focuses on topics at the interface of classical mechanics, differential geometry, and computer experiments. The directions of current research to be explored at the workshop include the study of invariants and complete integrability of geometrically motivated differential equations (in particular, vehicle motion, tire track geometry, and smoke ring equations), sub-Riemannian geometry, geometric control, nonholonomic systems (such as e.g. bicycle stability and nonholonomic methods in billiard problems), computational methods in mechanics and dynamics (including geometric integrators, biological applications, etc.).

The goal of the workshop is to explore broad applications of the mechanical approach to geometry and geometric one to classical mechanics, to foster interaction between researchers in the above areas, with a view of finding new domains for applications of these fertile ideas.

Special Issue on Integrability in Mechanics and Geometry: Theory and Computations in honour of Mark Levi

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Lecture Videos

Realizing Collinear Sequences with the Three-Body Problem

Richard Montgomery

University of California - Santa Cruz

June 1, 2015 • 12:00 AM

Integrability in Mechanics and Geometry: Theory and Computations

Integrability in Mechanics and Geometry: Theory and Computations

Jun 1 - 5, 2015

Organizing Committee

Abstract

Lecture Videos

Realizing Collinear Sequences with the Three-Body Problem

Iterating evolutes and involutes- theory and experiments

Stability of some dissipative systems and efficient estimates on the existe...

The evolution of spatial critical points under abrasion

Stability for the multidimensional rigid body and algebraic curves

Hirota-Kimura discretizations of integrable systems with quadratic vector f...

Non-integrability of natural Hamiltonian systems- tricks and methods

Rational degenerations of $m$-curves and totally positive Grassmannians

Rolling of projective planes with G2-symmetry

Integrable Geometric Flows in Diverse Geometries

Space-Time Finite-Element Exterior Calculus and Variational Discretizations...

Skew Mean Curvature Flow

Hamel's Formalism and Constrained Mechanics

The Poincare-Hopf Theorem in Nonholonomic Mechanics

Discrete nonholonomic mechanics on Lie groups

Integrability in Mechanics and Geometry: Theory and Computations

Jun 1 - 5, 2015

Organizing Committee

Abstract

Confirmed Speakers & Participants

Lecture Videos

Realizing Collinear Sequences with the Three-Body Problem

Iterating evolutes and involutes- theory and experiments

Stability of some dissipative systems and efficient estimates on the existe...

The evolution of spatial critical points under abrasion

Stability for the multidimensional rigid body and algebraic curves

Hirota-Kimura discretizations of integrable systems with quadratic vector f...

Non-integrability of natural Hamiltonian systems- tricks and methods

Rational degenerations of $m$-curves and totally positive Grassmannians

Rolling of projective planes with G2-symmetry

Integrable Geometric Flows in Diverse Geometries

Space-Time Finite-Element Exterior Calculus and Variational Discretizations...

Skew Mean Curvature Flow

Hamel's Formalism and Constrained Mechanics

The Poincare-Hopf Theorem in Nonholonomic Mechanics

Discrete nonholonomic mechanics on Lie groups

Confirmed Speakers & Participants