Wydział Fizyki UW > Badania > Seminaria i konwersatoria > The Algebra & Geometry of Modern Physics [arch]

The Algebra & Geometry of Modern Physics

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Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 16:30

Petr Vasko (WFUW)

Correspondence between Chern-Simons theory and Wess-Zumino-Witten models

I will discuss various relations between CS and WZW theories at classical level. First, I show how the Wess-Zumino term arises as a gauge variation of Chern-Simons action, in case the three-manifold has a boundary. The main topic, however, will be to derive an equivalence between classical phase spaces of CS and WZW theories, following https://arxiv.org/abs/hep-th/0101170v1. The WZW model will be defined on a strip with "untwisted" boundary conditions while the corresponding CS theory lives on (disc x line) with two Wilson lines (in representations determined by boundary conditions at both ends of the strip) puncturing the disc. Brief comments about quantization might be mentioned if time allows.

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Noémie Combe (Institut de Mathématiques de Marseille)

A new cellulation for the n-th configuration space of R^2 and moduli space M(0,n)

The first point of this seminar is to introduce the configuration space and the moduli space M(0,n) for genus 0 curves with n distinct points. The second point will be to consider relations between the configuration space for R^2 to braid groups. We present as well the idea of a new cell decomposition for M(0,n) which is reminiscent to Shabat-Voevodsky-Penner-Grothendieck cellulation for the Teichmuller space T_{g,n} for g>0.

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Jacek Krajczok (WFUW)

Wess-Zumino-Witten model, part II

During the talk I will introduce the Wess-Zumino-Witten model. I'll describe it's space of solutions and construct a pre-symplectic form on it.

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Jacek Krajczok (WFUW)

Wess-Zumino-Witten model

During the talk I will introduce the Wess-Zumino-Witten model. I'll describe it's space of solutions and construct a pre-symplectic form on it.

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 16:30

Piotr Surówka (Max Planck Institute for the Physics of Complex Systems)

Symmetry, topology and hydrodynamics

I will show how hydrodynamics is modified if the underlying fluid constituents are massless Weyl fermions, which are anomalous at the quantum level. The non-dissipative nature of the modification allows one to construct a partition function which compactly describes the transport properties of the system. I will explain how the anomalous properties can be understood in terms of heat kernels.

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Helder Larraguivel (WFUW)

Chern-Simons theory and Wilson lines, part V

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Helder Larraguivel (WFUW)

Chern-Simons theory and Wilson lines, part IV

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Helder Larraguivel (WFUW)

Chern-Simons theory and Wilson lines, part III

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 15:15

Jacek Krajczok (WFUW)

Chern-Simons theory and Wilson lines, part II

Zapraszamy do sali 2.23, ul. Pasteura 5 o godzinie 14:45

Hiroyuki Fuji (Kagawa University, Japan)

Partial chord diagrams and matrix models

Concepts of fatgraphs and partial chord diagrams occur in many branches ofmathematics, including topology, geometry, and representation theory.During the last decade, some applications of these mathematical objects tothe research of the molecular biology have been reported. Among them, inparticular, a characterization by the genus in the fatgraph presentationof the RNA has been studied remarkably. In this talk, I will explain howthe concepts of fatgraphs and partial chord diagrams are applied to thestudy of the secondary structure of the RNA with.pseudoknots, andintroduce the matrix model that is invented by basic techniques of thequantum field theory.

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