Vorträge in der Woche 30.01.2023 bis 05.02.2023

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Dienstag, 31.01.2023: Condensed sets II

Claudius Kamp

Uhrzeit: 14:15
Ort: C9A03
Gruppe: Seminar zur Kondensierten Mathematik
Einladender: A.Deitmar, H.Markwig

Mittwoch, 01.02.2023: Kp solitons from tropical limits

Claudia Fevola (MPI Leipzig)

The interplay between algebraic curves and the Kadomtsev-Petviashvili hierarchy establishes a fascinating connection between algebraic geometry and integrable systems. In this talk, we study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations. The Riemann theta function becomes a finite exponential sum that is supported on a Delaunay polytope. We introduce the Hirota variety which parametrizes all tau functions arising from such a sum. The combinatorial structure of the Delaunay polytope is central to describe the defining ideal of the Hirota variety. This is joint work with Daniele Agostini, Yelena Mandelshtam and Bernd Sturmfels.

Uhrzeit: 10:30 - 11:30
Ort: C4H33
Gruppe: Oberseminar kombinatorische algebraische Geometrie
Einladender: Daniele Agostini, Hannah Markwig

Donnerstag, 02.02.2023: Topology of toric varieties and a brief introduction to intersection spaces

Shahryar Ghaed Sharaf (Universität Heidelberg)

In this talk, I investigate the topological aspects of toric varieties. I start with the construction of the links of toric varieties. Using the homology groups of links, we show that singular points have similar characterizations from the topological and algebraic geometrical points of view. In the second part of the talk, I introduce the theory of intersection spaces. Finally, I construct the associated intersection spaces to 6-dimensional toric varieties and discuss the obtained results.

Uhrzeit: 14:00
Ort: Hörsaalzentrum N2
Gruppe: Oberseminar Algebraische Geometrie
Einladender: V. Batyrev, J. Hausen, Th. Markwig

Freitag, 03.02.2023: Konstruktion von CW-Komplexen aus Sullivan-Algebren mit quadratischem Differential, Teil III

Pascal Zeller (Uni Tübingen)

Uhrzeit: 13:00 - 13:30
Ort: C4 H 33
Gruppe: Oberseminar Differentialgeometrie und Topologie
Einladender: Bohle, Loose