Integrability in Mechanics and Geometry: Theory and Computations
(June 1-5, 2015)

Description

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.

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APPLY NOW TO PARTICIPATE
Application review will begin on March 9, 2015

Organizing Committee

MondayJune 1, 2015
TimeDescriptionSpeakerLocationAbstractsSlides
8:30 - 8:55Registration - Integrability in Mechanics and Geometry: Theory and Computations 11th Floor Collaborative Space
8:55 - 9:00WelcomeICERM Director11th Floor Lecture Hall
9:00 - 9:45Realizing Collinear Sequences with the Three-Body ProblemRichard Montgomery, University of California, Santa Cruz11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Iterating evolutes and involutes- theory and experimentsSergei Tabachnikov, ICERM11th Floor Lecture Hall
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11:30 - 12:15TBATadashi Tokieda, University of Cambridge 11th Floor Lecture Hall
12:30 - 2:30Break for Lunch
2:30 - 3:15Stability of some dissipative systems and efficient estimates on the existence of quasi-periodic attractorsAlessandra Celletti, University of Rome11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45TBAMark Levi, Pennsylvania State University11th Floor Lecture Hall
5:00 - 6:30Welcome Reception11th Floor Collaborative Space

TuesdayJune 2, 2015
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:45TBAMaxim Arnold, University of Texas at Dallas11th Floor Lecture Hall
10:00 - 10:30Coffee/Tea Break11th Floor Collaborative
10:30 - 11:15TBAYuliy Baryshnikov, University of Illinois 11th Floor Lecture Hall
11:30 - 12:15The evolution of spatial critical points under abrasionGabor Domokos, Budapest University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch
2:30 - 3:15Stability for the multidimensional rigid body and algebraic curvesAnton Izosimov, University of Toronto11th Floor Lecture Hall
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3:30 - 4:00Coffee/Tea Break11th Floor Collabortive Space
4:00 - 4:45Geometric (Statistical and Continuum) Mechanics of RibbonsL. Mahadevan, Harvard University11th Floor Lecture Hall

WednesdayJune 3, 2015
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:45Von Karman vortex streets and solitons Alexander Veselov, Loughborough University11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Hirota-Kimura discretizations of integrable systems with quadratic vector fields- theory and mathematical experimentsYuri Suris, Technical University of Berlin11th Floor Lecture Hall
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11:30 - 12:15Non-integrability of natural Hamiltonian systems- tricks and methodsVladimir Matveev, Friedrich-Schiller-Universität, Jena11th Floor Lecture Hall
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12:30 - 12:40Group Photo11th Floor Lecture Hall
12:40 - 2:15Break for Lunch
2:15 - 3:00Ray optics for thin filmsRon Perline, Drexel University11th Floor Lecture Hall
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3:00 - 4:15Poster Session and Coffee/Tea Break11th Floor Lecture Hall and Collaborative Space
4:15 - 5:00TBATBA11th Floor Lecture Hall

ThursdayJune 4, 2015
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:45Rational degenerations of $m$-curves and totally positive GrassmanniansSimonetta Abenda, University of Bologna11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Rolling of projective planes with G2-symmetryGil Bor, Center of Investigations in Mathematics 11th Floor Lecture Hall
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11:30 - 12:15The flat trefoil and other odditiesJoel Langer, Case Western Reserve University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch
2:30 - 3:15Intersection of quadrics and 2-dimensional Abelian varieties, an experimental study.Yuri Fedorov, Polytechnic University of Catalonia11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45Integrable Geometric Flows in Diverse GeometriesThomas Ivey, College of Charleston11th Floor Lecture Hall
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FridayJune 5, 2015
TimeDescriptionSpeakerLocationAbstractsSlides
9:00 - 9:45Space-Time Finite-Element Exterior Calculus and Variational Discretizations of Gauge Field TheoriesMelvin Leok, University of California, San Diego11th Floor Lecture Hall
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10:00 - 10:30Coffee/Tea Break11th Floor Collaborative Space
10:30 - 11:15Discrete nonholonomic mechanics on Lie groupsLuis García-Naranjo, National Autonomous University of Mexico11th Floor Lecture Hall
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11:30 - 12:15 Skew Mean Curvature FlowChong Song, Xiamen University11th Floor Lecture Hall
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12:30 - 2:30Break for Lunch
2:30 - 3:15TBADmitry Zenkov, North Carolina State University11th Floor Lecture Hall
3:30 - 4:00Coffee/Tea Break11th Floor Collaborative Space
4:00 - 4:45The Poincare-Hopf Theorem in Nonholonomic MechanicsOscar Fernandez, Wellesley College11th Floor Lecture Hall
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