Jaime Pedregal Pastor (Utrecht): A Gentle Introduction to Generalized Riemannian Geometry
Abstract
Generalized geometry has proven to be a powerful unifying framework for different geometries such as complex, symplectic, Poisson and the like. The theory of generalized metrics has led to further links to other geometries, e.g. bihermitian geometry, which are also of interest in supersymmetric sigma models in string theory. In this talk we will give a gentle introduction to generalized geometry, focusing on the Riemannian aspect of the theory.
Jesse Reimann (TU Delft): Towards a sharp solution to Koplienko's conjecture on higher order spectral shift
Abstract
We give a new proof of the boundedness of multilinear Schur multipliers of higher order divided difference functions, as obtained earlier by Potapov, Skripka and Sukochev in their proof of Koplienko’s conjecture on the existence of higher order spectral shift functions. Our proof is based on recent methods involving transference and the Hörmander-Mikhlin-Schur multiplier theorem. Our approach provides a significant sharpening of the known asymptotic bounds of multilinear Schur multipliers of higher order divided difference functions.
Giuliano Ziraldo (Sapienza University of Rome): Algebraic QFT methods for the Toric Codes
Abstract
Recent studies have shown how C∗-algebras can be used to obtain rigorous
results for lattice spin models. Once introduced the framework of Algebraic
Quantum Field Theory and Kitaev’s Toric Code model, I will present a review
of the work done by P. Naaijkens, B. Nachtergaele et al. Main topic will be
the construction of the field theory associated to the model and its use to describe
some topological properties of the Toric Code, like its anyonic excitations.
