Fakultäten der Universität Bonn: Suche
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Representations of the Kottwitz gerbes
(2022-03-15)
Let F be a local or global field and let G be a linear algebraic group over F. We study Tannakian categories of representations of the Kottwitz gerbes Rep(Kt_F) and the functor G → B(F,G) defined by Kottwitz in [28]. In ...
A variational approach to Gibbs measures on function spaces
(2022-03-18)
We study develop a variational technique to study models from constructive quantum field theory. Our starting point is the interpretation of the Polchinski equation as the Hamilton-Jacobi-Bellman equation of a stochastic ...
Perturbative quantization of the two-dimensional supersymmetric sigma model
(2022-03-15)
The two-dimensional nonlinear sigma model is a classical field theory whose fields are maps from a Riemann surface Σ to a Riemannian manifold X, and whose classical solutions are minimal surfaces. In this thesis, we study ...
Heat flow aspects of synthetic Ricci bounds in the extended Kato class
(2022-01-21)
This thesis studies heat flows acting on different objects on possibly singular spaces that admit synthetic lower Ricci curvature bounds by constants, functions, or signed measures. Geometric properties of such spaces and ......
Casson-Whitney unknotting, Deep slice knots and Group trisections of knotted surface type
(2022-08-26)
In this thesis, we study knotted surfaces in 4-dimensional manifolds from three different but interconnected perspectives.
In the first part, we introduce a measure of 'distance', or rather 'length', between ...
In the first part, we introduce a measure of 'distance', or rather 'length', between ...
Torsion classes, wide subcategories and maximal green sequences
(2022-08-26)
In this thesis, the relationship between torsion classes and wide subcategories in module categories of finite dimensional algebras is studied. Of particular interest are wide intervals, which are interval subsets of the ...
A p-Adic 6-Functor Formalism in Rigid-Analytic Geometry
(2022-08-01)
We develop a full 6-functor formalism for $p$-torsion étale sheaves in rigid-analytic geometry. More concretely, we use the recently developed condensed mathematics by Clausen--Scholze to associate to every small v-stack ...
Convergence of McKean-Vlasov processes and Markov Chain Monte Carlo methods for mean-field models
(2022-10-11)
In recent years, analysing the long-time behaviour of stochastic processes has received increasing interest. Firstly, efficient sampling of a given probability measure is an important task that arises in various fields ...
Continuous Routing
(2022-11-07)
Global routing is an essential stage of a chip design flow: as a simplification of the routing problem, it optimizes global objectives such as wire length, power and timing, while relaxing some constraints, such as wire ...
Entwicklung einer Spurkammer für das Studium von Driftfeld-Kalibrationsmethoden
(2022-06-07)
Bei der Erforschung von Materie hat man sich in der Geschichte schrittweise, durch Beobachtungen und Modelle, an ihre untergeordneten Strukturen herangetastet. Aus heutiger Sicht sind Quarks und Gluonen, neben den Elektronen, ...