Tee-Seminar: Linde Lambrecht (Universität Gießen): Exploring spherical buildings of type F4 as point-line geometries
Monday, 27.05.2024 14:15 im Raum SR1C
In this talk we dive into the world of point-line geometries related to spherical buildings of type F4. These turn out to be parapolar spaces of rank 3 with some extra properties. They differ from the other exceptional spherical buildings by the fact that they are not determined by only a field, but one also needs a quadratic alternative division algebra over this field. This makes them a bit harder to tackle and therefore they are omitted by several authors. After a short introduction, we will discuss some analogs of recent results about other exceptional spherical buildings. In particular, we will discuss subgeometries, domestic collineations and kangaroos
Angelegt am Thursday, 25.04.2024 05:59 von Anke Pietsch
Geändert am Monday, 06.05.2024 05:41 von Anke Pietsch
[Edit | Vorlage]
Sharmila Gunasekaran (Radboud University, Netherlands): Rigidity of near horizon geometries / Oberseminar Topics in General Relativity
Tuesday, 28.05.2024 12:00 im Raum 503
Extreme black holes possess event horizons at zero temperature, referred to as degenerate Killing horizons. These horizons are exclusively delineated by a specific limiting procedure, defining a near-horizon geometry or, more broadly, a quasi-Einstein equation which governs their properties. Solutions to this equation manifest as triples (M, g, X), where M represents a closed manifold (the horizon), g denotes a Riemannian metric, and X is a 1-form. The talk will be a overview of these concepts and relevant results which characterize solutions to the quasi-Einstein equation. This is joint work with Eric Bahuaud, Hari Kunduri, and Eric Woolgar.
Angelegt am Tuesday, 09.04.2024 09:47 von Anke Pietsch
Geändert am Tuesday, 23.04.2024 05:28 von Anke Pietsch
[Edit | Vorlage]
Timothée Crin-Barat (FAU Erlangen-Nürnberg): Hyperbolic approximation of the Navier-Stokes-Fourier system: hypocoercivity and hybrid Besov spaces
Tuesday, 28.05.2024 14:15 im Raum SRZ 205
We investigate the global well-posedness of partially dissipative hyperbolic systems and their associated relaxation limits. As we shall see, these systems can be interpreted as hyperbolic approximations of parabolic systems and provide an element of response to the infinite speed of propagation paradox arising in viscous fluid mechanics.
To demonstrate this, we study a hyperbolic approximation of the multi-dimensional compressible Navier-Stokes-Fourier system and establish its hyperbolic-parabolic strong relaxation limit.
For this purpose, we use and present techniques from the hypocoercivity theory and precise frequency decomposition of the solutions via the Littlewood-Paley theory
Angelegt am Thursday, 04.04.2024 10:00 von Anke Pietsch
Geändert am Tuesday, 23.04.2024 08:07 von Anke Pietsch
[Edit | Vorlage]