Vorträge des SFB 1442

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Claudia Rüdiger

Oscar Harr (University of Copenhagen): The tautological ring of the moduli space of handlebodies

Monday, 12.05.2025 14:15 im Raum SR 1C

Mathematik und Informatik

Abstract: We briefly review the tautological ring of the moduli space of surfaces, before discussing how to define the analogous ring for the moduli space of 3-dimensional handlebodies (and more generally, odd-dimensional manifolds with boundary). We then discuss some sheaf-theoretic methods of probing the structure of this ring. The talk is based on ongoing work that will (hopefully) appear in my PhD thesis this summer.



Angelegt am 08.05.2025 von Claudia Rüdiger
Geändert am 08.05.2025 von Claudia Rüdiger
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Claudia Rüdiger

Catrin Mair (TU Darmstadt): The Role of Condensed Mathematics in Homotopy Theory

Monday, 19.05.2025 14:15 im Raum SR 1C

Mathematik und Informatik

Abstract: The ?-category Cond(Ani) of condensed anima combines the homotopy-theoretic direction of anima with the topological space direction of condensed sets. For example, we can recover the shape of a sufficiently nice topological space from the corresponding condensed anima. My talk will focus on a joint refinement of the etale homotopy type and the pro-etale fundamental group of a scheme, realised as an object in Cond(Ani). This is closely related to work of Barwick, Glasman and Haine on exodromy. I will give an overview of results from my dissertation and an ongoing project jointly with Haine, Holzschuh, Lara and Wolf.



Angelegt am 07.05.2025 von Claudia Rüdiger
Geändert am 07.05.2025 von Claudia Rüdiger
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Elke Enning

Astrid an Huef (Wellington): Nuclear dimension of C*-algebras of groupoids, with applications to C*-algebras of directed graphs. Oberseminar C*-Algebren.

Tuesday, 20.05.2025 16:15 im Raum SRZ 216/217

Mathematik und Informatik

Guentner, Willet and Yu defined a notion of dynamic asymptotic dimension for an etale groupoid that can be used to bound the nuclear dimension of its groupoid C*-algebra. To have finite dynamic asymptotic dimension, the isotropy subgroups of the groupoid must be locally finite. I will discuss 1) how to use similar ideas to bound the nuclear dimension of the C*-algebra of a groupoid with `large' isotropy subgroups and 2) the limitations of that approach. In an application to the C*-algebra of a directed graph, if the C*-algebra is stably finite, then its nuclear dimension is at most 1. This is joint work with Dana Williams.



Angelegt am 07.05.2025 von Elke Enning
Geändert am 07.05.2025 von Elke Enning
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Claudia Rüdiger

Hyungseop Kim (Université Paris-Saclay CNRS): Formal gluings in K-theory via dualisable categories

Monday, 26.05.2025 14:15 im Raum SR 1C

Mathematik und Informatik

Abstract: The study of descent properties of K-theory plays an important role in understanding its values and behaviour in many geometric contexts. In this talk, I will explain a construction of certain diagrams arising from formal gluing situations for which continuous K-theory, and more generally all localising invariants, satisfy descent, from the perspective of dualisable categories. I will also discuss how this encompasses both Clausen?Scholze?s gluing result for analytic adic spaces and an adelic descent result for dualisable categories.



Angelegt am 12.05.2025 von Claudia Rüdiger
Geändert am 12.05.2025 von Claudia Rüdiger
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Claudia Lückert

Wilhelm Killing Kolloquium: Prof. Dr. Christian Bär (Universität Potsdam): From curvature to eigenvalues and back

Wednesday, 28.05.2025 14:15 im Raum SRZ 216/217

Mathematik und Informatik

tba



Angelegt am 09.04.2025 von Claudia Lückert
Geändert am 12.05.2025 von Claudia Lückert
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Kolloquium Wilhelm Killing
Vorträge des SFB 1442