Hausdorff Kolloquium 2019

Date: April 10, 2019 - July 03, 2019

Venue: Mathematikzentrum, Lipschitz Lecture Hall, Endenicher Allee 60, Bonn

Wednesday, June 19

15:15 Francis Filbet (Université Paul Sabatier Toulouse III)
16:45 Victor Nistor (Université de Lorraine)

Wednesday, July 03

15:15 Jesper Grodal (University of Copenhagen)
16:45 Bénédicte Haas (Université Paris XIII)

Abstracts

Federico Rrodriguez Hertz (Pennsylvania State University): Rigidity in hyperbolic systems.

In the 80's two type of related rigidity results emerged, one of geometric flavor and the other dynamical, but both have a dynamical background. Otal and Croke showed that for negatively curved surface the marked length spectrum determines the isometry type of the surface. And de la Llave, Marco and Moriyon showed that for two dimensional Anosov diffeomorphisms, the marked Lyapunov spectrum determines the smooth isomorphism type of the system. In this talk I will discuss new developments along this line of problems, discussing a more general framework where these theory can be developed. This project is joint with A. Gogolev.

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Stefan Luckhaus (Universität Leipzig): Geometric aspects of the plastic deformation of metals

There is an intimate connection between Riemannian Geometry and nonlinear Elasticity. Elastic strain can be viewed as a flat connection in an affine bundle.As applied mathematicians we are interested in the homogenisation of geometric defects and ultimately the space time structure on many scales atomistic ,sub grain,grain and macroscopic . The results I can present so far link geometric rigidity as developed by Friesecke, James, Mueller to grain boundary theories by Reid and Schockley

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