Fachbereich Mathematik

Vorträge in der Woche 25.05.2020 bis 31.05.2020

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Donnerstag, 28.05.2020: The Hawking Energy on Small Scales - Expansion and Concentration Points

Dr. Alexander Friedrich (University of Copenhagen)

The Hawking energy is a quasi local energy in General Relativity. The idea is to obtain a measure for the energy contained within a given volume by measuring the bending of light rays across its boundary. We work in a time slice and regard the Hawking energy as a generalized Willmore functional on spherical surfaces subject to an area constraint. The goal is to analyze the behavior of critical surfaces with small area and identify points in the ambient manifold around which they concentrate. Additionally, we obtain an expansion of the Hawking energy on small spheres. These two results allow us to identify a kind of energy density for the Hawking energy. All of the results presented hold for generic generalized Willmore functionals as well.

Uhrzeit: 14:15
Ort: This seminar will meet online. Please sign up by sending an email to Angelika Spörer-Schmidle
Gruppe: Oberseminar
Einladender: Cederbaum, Huisken, Kröncke

Donnerstag, 28.05.2020: Stringy Euler numbers of toric Calabi-Yau hypersurfaces

Prof. Dr. Victor Batyrev (Universität Tübingen)

The talk is devoted to stringy invariants of singular algebraic varieties and their applications in birational geometry and mirror symmetry. Projective Calabi-Yau models of non-degenerate affine hypersurfaces in algebraic torus provide simplest examples of explicit combinatorial formulas for stringy invariants. I explain some recent results and open questions motivated by different mirror symmetry constructions.

Uhrzeit: 17:00
Ort: Die Videoübertragung von Moskau findet online per zoom statt: https://us02web.zoom.us/j/82202260347 Meeting ID: 822 0226 0347
Gruppe: Oberseminar Algebraische Geometrie
Einladender: Batyrev, Hausen, Th. Markwig