Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

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DMV Tagung 2011 - Köln, 19. - 22. September Donnerstag, 22. September Physik, Seminarraum der theoretischen Physik 14:00 Rainer Verch (Leipzig) Quantum fields on non-commutative space: non-commutative potential scattering and Wick rotation 15:00 Sefan Weinzierl (Mainz) Hidden mathematical beauty in scattering amplitudes 16:00h – 16:30h Pause 16:30 Hanno Gottschalk (Wuppertal) On the Anti-de-Sitter / conformal field theory conjecture from a Euclidean quantum field standpoint 17:30 Klaus Fredenhagen (Hamburg) Epstein-Glaser renormalization and Batalin-Vilkovisky formalism 72
DMV Tagung 2011 - Köln, 19. - 22. September Michael Baake Universität Bielefeld Kinematic diffraction from a mathematical viewpoint Mathematical diffraction theory is concerned with the analysis of the diffraction image of a given structure and the corresponding inverse problem of structure determination. In recent years, the understanding of systems with continuous and mixed spectra has improved considerably, while their relevance has grown in practice as well. Here, the phenomenon of homometry shows various unexpected new facets, particularly so in the presence of disorder. After an introduction to the mathematical tools, we review pure point spectra, based on the Poisson summation formula for lattice Dirac combs, aiming at the diffraction formulas of perfect crystals and quasicrystals. We continue by considering classic deterministic examples with singular or absolutely continuous diffraction spectra, and we recall an isospectral family of structures with continuously varying entropy. We close with a summary of more recent results on the diffraction of dynamical systems of algebraic or stochastic origin. Literatur Baake, M. and Grimm, U. (2011). Kinematic diffraction from a mathematical viewpoint, Z. Krist. 226, in press; arXiv:1105.0095. Baake, M., Birkner, M. and Moody, R.V. (2010). Diffraction of stochastic point sets: Explicitly computable examples, Commun. Math. Phys. 293, 611–660; arXiv:0803.1266. Volker Bach Institut für Analysis und Algebra, Technische Universität Braunschweig Existence and construction of resonances in minimally coupled nonrelativistic QED An excited eigenvalue of an atom is believed to be unstable and turn into a resonance under a perturbation. In this talk the precise definition of such resonances is given and their existence and construction is outlined in case the atom is minimally coupled to the quantized radiation field. This model is infrared singular and notoriously difficult to treat. We review Sigal’s recent construction of resonances based on the “Feshbach map" and present a novel, alternative construction based on “Pizzo’s method". Dorothea Bahns Universität Göttingen String theory outside the critical dimension I will review some recent developments in string theory in a setting initiated by Klaus Pohlmeyer in the 1980s. Here, a Poisson algebra is assigned to surfaces of extremal area immersed in Minkowski space, e.g. to the world sheet of a string. Two deformations of this Poisson algebra (quantization schemes) have been proposed. One is based on the quantization of an auxiliary Lie algebra in terms of its universal enveloping algebra, the other is based on the deformation theory of quasi-Lie-bialgebras. Contrary to the ordinary setting of string theory, which is based on conformal field theory, these two quantization schemes do not require a critical dimension for consistency. 73
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Ken Ono Emroy University, Atlanta A
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Jonathan Spreer Universität Stuttg
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Christian Gerhards TU Kaiserslauter
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Autorenverzeichnis Abels, Helmut, 1
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Martino, Maurizio, 15 Maruhn, Jan H
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Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

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