Termine

A spanning tree of a finite connected graph G is a connected subgraph of G that contains every vertex and no cycles. A well-known way to generate a uniform spanning tree (UST) is the Aldous-Broder algorithm. This is a stochastic process with values in rooted trees that is driven by a random walk on G and converges as time goes to infinity towards the Brownian Continuum Tree (CRT). On the complete graph it is known that this process has a GH-scaling limit which is referred to as Root Growth with Regrafting dynamics (RGRG). We will show that this is again a universal phenomenon, i.e., it holds for the Aldous-Broder chain on any appropriate sequence of regular graphs in the transient regime. In particular, this holds for the torus in dimensions five and higher. This is joint work with Osvaldo Angtuncio Hernandez and Gabriel Berzunza Ojeda.

Wie in jedem Semester gibt es eine Kurzvorstellung der Projektseminare und Seminare des Folgesemesters, um sich aus dem Angebot das Interessanteste und Passendste heraussuchen zu können. Bis zum Vorstellungstermin 8.7.2026 sollten auch alle Kurzvorstellungen in Form von Foliensätzen etc. in Learnwebkurs hinterlegt sein, dann startet auch die Bewerbungszeit um Projektseminarplätze, über die Buchungstools im Learnweb-Kurs.
S.a. Kurs PSemInfo im Learnweb

For a smooth projective complex algebraic variety X, a theorem of Simpson classifies algebraic subvarieties of the moduli space of rank one flat connections on X, that remain algebraic as a subspace of the moduli of local systems via the Riemann-Hilbert correspondence. In this talk, I shall describe a new proof of Simpson's result using algebraization techniques originating in o-minimality. We shall also describe how the o-minimal approach adapts to prove a p-adic analog for Mumford curves.

Extremal black holes are special solutions to the Einstein field equations characterized by maximal spin or charge relative to their mass. In the celebrated thermodynamic analogy of black hole mechanics, they are distinguished by having exactly zero temperature. In this talk, I will present a proof showing that extremal black holes can form dynamically from gravitational collapse rather than appearing only as inaccessible limiting objects in parameter space. I will then introduce a series of recently formulated conjectures, together with partial results, that aim to clarify the role of extremal black holes in gravitational collapse, their connection to threshold phenomena, and critical behavior in black hole formation. This talk is based on joint work with Y. Angelopoulos (BIMSA) and R. Unger (UC Berkeley).

The theory of six functor formalisms is of high importance in geometric representation theory. Classically, one focuses in six functors on known cohomology theories such as coherent sheaves, étale sheaves or D-modules. However, thanks to the foundational work of Heyer--Mann on abstract six functor formalisms, and all the further advancements that have occurred since then, it is now possible to apply some of these techniques in rather general and abstract situations. Having such level of abstraction and generality could seem pretentious, but it turns out to be extremely useful in classical, but also complicate, frameworks of representation theory such as the theory of locally analytic p-adic representations. In this talk I will discuss the formalism behind scenes, namely the presentable category of kernels, and mention some applications to Cartier duality and the theory of locally analytic representations.

We would like to invite you to the next MM Connect event, which will take place this Friday, July 10, at 14:00 sharp in the SRZ Cluster Lounge (Orléans-Ring 12, 2nd floor).

During the event, we will have:
* Arrival Talks by Malthe Mejlsted, Dawid Kotowski, and Miguel Gentili
* Departure Talk by Katharina Harengel
Afterwards we will meet as usual in the Common Room for coffee and cake!