Institut for Matematik og Datalogi

På dette forskningsseminar præsenterer forskere og studerende fra FNUG nyt fra deres aktuelle forskning. Inden da er der frokost på sammenskudsbasis

Speaker: Elise Lepage (​Columbia University).Abstract: Quantum groups and their representations admit categorifications, in which vector spaces and linear maps are replaced by categories and functors. I will describe a construction of these categorifications using Fukaya-Seidel categories of Coulomb branches. This construction realizes categorifications of irreducible representations, Verma modules, and arbitrary tensor products of these representations. A key feature of this construction is a differential relating categorified Verma modules to categorified irreducible representations. I will show how this differential arises geometrically.

Speaker: ​Guglielmo Lockhart (University of Bonn).​Abstract: General principles suggest that the spectrum of excitations of quantum gravity theories includes not just pointlike particles, but also higher-dimensional membranes. In this talk I will focus on a specific class of one-dimensional membranes, the faithful strings, whose properties can be described using the language of vertex operator algebras. I will discuss how this mathematical structure encodes symmetries of quantum gravity theories, and makes it possible to determine refined information like gauge group topology. Moreover, I will show that modular invariance of the faithful string torus partition function is a powerful tool to detect inconsistencies in a candidate quantum gravity theory, or conversely to identify apparently consistent quantum gravities and study their properties. This provides an exciting opportunity to study exotic quantum gravity models that do not admit any known weakly coupled realization within string theory, in supersymmetric as well as non-supersymmetric settings.

Mød den anmelderroste britiske forfatter Zadie Smith på SDU mandag den 5. oktober til en samtale om hendes forfatterskab og oplæsning fra udvalgte værker.

Den Vildere Have har snart været en del af SDU i et år, og det vil vi gerne markere sammen med dig.

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