The Faculty of Mathematics and Natural Sciences: Search
Now showing items 301-310 of 386
Moduli spaces of K3 surfaces and cubic fourfolds
(2019-11-14)
This thesis is concerned with the Hodge-theoretic relation between polarized K3 surfaces of degree d and special cubic fourfolds of discriminant d, as introduced by Hassett.
For half of the d, K3 surfaces associated ......
For half of the d, K3 surfaces associated ......
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 ...
External Spanier-Whitehead duality for C-spectra and applications to C-homology theories
(2021-07-19)
The thesis constructs a Spanier-Whitehead type duality functor relating finite C-spectra to finite Cop-spectra, where C is a topological index category. We prove that every C-homology theory is given by taking the homotopy ...
The Mukai system of rank two and genus two
(2020-11-19)
We study the Mukai system $M rightarrow mathbb{P}^5$ of rank two and genus two from three different points of view. We compute the degrees and multiplicities of the irreducible components of the fibers over non-reduced ...
Lagrangian field theories: ind/pro-approach and L∞-algebra of local observables
(2018-05-11)
Field Theories in Physics can be formulated giving a local Lagrangian density. Locality is imposed using the infinite jet bundle. That bundle is viewed as a pro-finite dimensional smooth manifold and that point of view has ...
Heat Flows on Time-dependent Metric Measure Spaces
(2018-04-26)
We consider time-dependent metric measure spaces evolving as a super Ricci flow in the sense of Sturm. We haracterize these by means of the (time-dependent) heat flow. We establish equivalence of super Ricci flows, gradient ...