Ilya Y. Dodin (Princeton University)
Turbulence has always been a tough subject to study. Interestingly though, typical turbulence equations are similar in form to those that govern nondegenerate quantum plasmas, which are easier to...
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Mohammed Lemou (IRMAR Rennes, France)
I will start by giving a short overview of the history around stability and instability issues in gravitational systems driven by kinetic equations. Conservations properties and families of...
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Herbert Balasin (TU Wien)
Using the framework of Colombeau's generalized functions, I will discuss the motion of both the classical as well as the quantum motion of a particle in an impulsive background.
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Huali Zhang (AEI)
Magnetohydrodynamics (MHD) is the study of the dynamics and magnetic properties of electrically conducting fluids. In this talk, we will give a brief derivation of MHD equations, and also introduce...
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Helmut Friedrich (AEI)
In the last 30 years an enormous amount of work has been done on the existence and global structure of asymptotically flat solutions to Einstein's field equations. Many of these contributions are in...
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Lukas Böke (AEI - ETH)
The Berry phase was introduced by Michael Berry in the 80s, and a little later an elegant description in terms of holonomy was observed by Barry Simon. We introduce the Berry phase and the Berry-Simon...
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Jeff Winicour (University of Pittsburgh)
I will review results about linear and nonlinear radiation memory for electromagnetic and gravitational fields and present some new results for the collision of black holes.
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Jérémie Joudioux (AEI)
The Wigner transform was introduced at the beginning of the 30s to understand quantum corrections to classical statistical mechanics. It has then been used in optics to perform analysis in phase space...
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Sajad Aghapour (Sharif University of Technology, Tehran, and AEI)
The classical definitions of helicity, spin and orbital angular momenta of the electromagnetic field in free space have been improved in recent years in theoretical optics, stimulated by experiments...
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Lukas Böke (AEI)
We present a correspondence, established in papers by R. Rüdiger and J. Audretsch, between quantum mechanical equations of motion and classical equations of spinning massive particles in a...
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Lars Andersson
Noether's theorem states that for a Lagrangian field theory, symmetries of the action gives rise to conserved currents and charges. The most well-known symmetries are those which arise from Killing...
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Sajad Aghapour (IPM, Teheran)
In this talk I will review a paper by Zoupas and Wald which summarizes the proposal for a general definition of "conserved quantities" in General Relativity and other theories of gravity developed by...
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Andreas Hermann
Conformal Killing p-forms are a generalization of conformal Killing vector fields on semi-Riemannian manifolds. In this talk we review some known properties of conformal Killing p-forms. We describe...
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Igor Khavkine
I will discuss the Killing operator (K_{ab}[v] = \nabla_a v_b + \nabla_b v_a) on a (pseudo-)Riemannian manifold as an overdetermined PDE and its (formal) compatibility complex. It has been observed...
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Lars Andersson
I will discuss how Hertz potentials can be used to construct conservation laws for massless fields including Maxwell and linearized gravity.
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Cedric Troessaert
I will review how, in the Hamiltonian formalism, one use a double potential formalism to obtain a manifestly duality invariant description of linearized gravity.
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Lars Andersson
Maxwell's theory of electromagnetism is a relativistic field theory on Minkowski space, and is symmetric under the 10-dimensional Poincare group of isometries of Minkowski space. However, it admits...
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Olof Ahlén
Supersymmetry has been a very active research area in both elementary particle physics as well as models for quantum gravity. In this talk, I will outline the motivation for analyzing supersymmetric...
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Igor Khavkine
A conserved current for a PDE in $n$-variables can be thought of as a field dependent $(n-1)$-form that is closed on solutions. A similar definition can also be made in other form degrees. A field...
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Lars Andersson
I will introduce the notions of Noether current and Noether charge for a Lagrangian field theory.
References:
Lee and Wald, Local symmetries and constraints, JMP 1990
Iyer and Wald, Some properties of...
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Michael Jung
I will start with an infinitesimal symmetry transformation as a diffeomorphism and derive the Noether-current. The setting is a compact domain in the flat space and just with one scalar field and one...
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Lars Andersson
I will introduce, and give examples of, the notions of symplectic potential current, symplectic current, and Noether current for a Lagrangian field theory with local symmetries.
References:
Lee and...
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Florian Hanisch
We will briefly review some basic ideas of the Lagrangian and the Hamiltonian approach to classical field theory, including some examples. We will keep the talk at an elementary level (sometimes with...
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Florian Hanisch
The first session of the seminar will consist of 2 parts:
1) Discussion of the program for the semester.
2) Talk by F. Hanisch: Supersymmetry and the Duistermaat-Heckmann-formula in finite...
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Matthias Ludewig, Florian Hanisch
The seminar will have two parts,
Matthias Ludewig: Finite dimensional approximation of path integrals (continuation).
Florian Hanisch: Supersymmetry and the Duistermaat-Heckman formula.
Witten's...
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Matthias Ludewig
We will describe different ways of discretising path integrals and compare different metrics on the (discrete) path space. Moreover, we will discuss different boundary conditions for path (fixed...
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Florian Hanisch
This talk will focus on supergeodesics.
Witten's heuristic proof of the index theorem using supergeometry is well known but still not fully mathematically understood. We present the approaches to the...
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Lars Andersson
This talk will focus on finite dimensional approximations of path integrals.
Witten's heuristic proof of the index theorem using supergeometry is well known but still not fully mathematically...
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Florian Hanisch, Matthias Ludewig
This is a continuation of the seminar on April 21 and 28.
Witten's heuristic proof of the index theorem using supergeometry is well known but still not fully mathematically understood. We present the...
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Matthias Ludewig, Florian Hanisch
This is a continuation of the seminar on April 21.
Witten's heuristic proof of the index theorem using supergeometry is well known but still not fully mathematically understood. We present the...
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Matthias Ludewig, Florian Hanisch
Witten's heuristic proof of the index theorem using supergeometry is well known but still not fully mathematically understood. We present the approaches to the subject by Witten, Atiyah and Lott (and...
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