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Calendar of Physics Talks Vienna
| Introduction to Poisson Lie-groups |
| Speaker: | Prof. Catherine Meusburger (U Erlangen) |
| Abstract: | A Poisson-Lie group is a Lie group that is also a Poisson manifold in
such a way that the multiplication is a Poisson map.
On the Lie algebra level, this implies that the dual vector space of its
Lie algebra also has a Lie algebra structure, and the two Lie algebra
structures satisfy a compatibility condition.
This is called a Lie bialgebra and can be viewed as the infinitesimal
counterpart of a quantum group. Hence, we can interpret Lie-bialgebras
as the infinitesimal counterparts and Poisson-Lie groups as the
classical counterparts of quantum groups.
I explain these relations and then discuss Poisson actions of
Poisson-Lie groups on Poisson manifolds. I explain why these structures
can be expected to appear in gauge theory. If there is time, I also
cover Drinfeld's classification of Poisson homogeneous spaces, i.e.
Poisson manifolds with transitive Poisson actions of Poisson-Lie gr |
| Date: | Mon, 27.03.2017 |
| Time: | 15:15 |
| Duration: | 60 min |
| Location: | Erwin Schrödinger International Institute, Boltzmanngasse 9, 1090 Wien, Boltzmann lecture hall |
| Contact: | secr@esi.ac.at |
| Continuum dynamics on manifolds: Applications to Elasticity of Residually-Stressed Bodies |
| Speaker: | Elik Olami (Jerusalem) |
| Abstract: | In this talk we discuss the dynamics of continua on differentiable manifolds.
We present a covariant derivation of equations of motion, viewing motion as
a curve in the infinite-dimensional Banach manifold of embeddings of a body
manifold in a space manifold. Our main application is the motion of residually-
stressed elastic bodies; residual stress results from a geometric incompatibility
between body and space manifolds. We then study a particular example of elastic vibrations of a two- dimensional curved annulus embedded in a sphere. Based on
a joint work with Raz Kupferman and Reuven Segev.
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| Date: | Wed, 29.03.2017 |
| Time: | 13:00 |
| Duration: | 60 min |
| Location: | Arbeitsgruppe Gravitation, Währinger Strasse 17, common room, 1. Stock |
| Contact: | P.T. Chrusciel |
| The decay of SU(2) Yang-Mills fields on the Schwarzschild black hole with spherically symmetric small energy initial data |
| Speaker: | Sari Ghanem (Potsdam) |
| Abstract: | First, I will present the Yang-Mills equations on arbitrary fixed curved space-times, valued in the Lie algebra associated to any arbitrary Lie group. Thereafter, I will expose recent results with Dietrich Häfner concerning the Yang-Mills fields valued in the Lie algebra su(2) associated to the Lie group SU(2), propagating on the Schwarzschild black hole. We assume that the initial data are spherically symmetric, satisfying a certain Ansatz and have small energy, which excludes the stationary solutions which do not decay. We then prove uniform decay estimates in the entire exterior region of the black hole, including the event horizon, for gauge invariant norms on the Yang-Mills curvature generated from such initial data, including the $ L^\infty $ norm of the so-called middle components. This is done by proving in this setting, a Morawetz type estimate that is stronger than the one .. |
| Date: | Thu, 30.03.2017 |
| Time: | 14:00 |
| Duration: | 60 min |
| Location: | Arbeitsgruppe Gravitation, Währinger Strasse 17, Raum 218, 2. Stock, 1090 Wien |
| Contact: | P.T. Chrusciel |
| Kitaev lattice models as a Hopf algebra gauge theory |
| Speaker: | Prof. Catherine Meusburger (U Erlangen) |
| Abstract: | We generalise the notion of a lattice gauge theory with values in a
group to Hopf algebra valued lattice gauge theories and show that a
Kitaev lattice model for a finite-dimensional semisimple Hopf algebra H
is equivalent to a Hopf algebra gauge theory for the Drinfeld double
D(H). This shows in particular that Kitaev models are a special case of
combinatorial quantisation of Chern-Simons theory introduced by
Alekseev, Grosse, Schomerus und Buffenoir and Roche. This can be viewed
as an analogue of the relation between Turaev-Viro and
Reshetikhin-Turaev TQFTs and explicitly relates Kitaev models to the
quantisation of moduli spaces of flat connections on surfaces. |
| Date: | Thu, 30.03.2017 |
| Time: | 16:00 |
| Duration: | 60 min |
| Location: | Erwin Schrödinger International Institute, Boltzmanngasse 9, 1090 Wien, Boltzmann lecture hall |
| Contact: | secr@esi.ac.at |
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