Uniformization of complex projective klt varieties by bounded symmetric domains
Friday, 3.2.23, 10:30-11:30, Hörsaal II, Albertstr. 23b
Using classical results from Hodge theory and more contemporary ones valid for complex projective varieties with Kawamata log terminal (klt) singularities, we deduce necessary and sufficient conditions for such varieties to be uniformized by each of the four irreducible Hermitian symmetric spaces of non compact type. We also deduce necessary and sufficient conditions for uniformization by a polydisk, which generalizes a classical result of Simpson.
TBA
Monday, 6.2.23, 16:15-17:15, Hörsaal II, Albertstr. 23b
Special submanifolds in Joyce’s generalised Kummer constructions
Monday, 6.2.23, 16:15-17:15, Hörsaal II, Albertstr. 23b
Associative and coassociative submanifolds are the natural subobjects of 7-dimensional G2-manifolds. Besides having minimal volume among all submanifolds realising a fixed homology class, they play a prominent role in higher-dimensional gauge theory. In this talk we will focus on G2-manifolds arising as desingularisations of flat orbifolds\nand explain a method of constructing coassociatives inside them. The novelty of this construction is that the volume of these submanifolds tends to zero as the ambient manifold\napproaches its orbifold-limit.
Tuesday, 7.2.23, 14:15-15:15, Raum 226, Hermann-Herder-Str. 10
TBA
An averaged space-time discretization of the stochastic p-Laplace system
Tuesday, 7.2.23, 14:15-15:15, Raum 226, Hermann-Herder-Str. 10
\nAbstract: In this talk we discuss the stochastic p-Laplace system. In\ngeneral non-linear as well as stochastic equations have limited\nregularization properties. Thus, the solution does not enjoy arbitrary\nhigh regularity. This leads to difficulties in the numerical\napproximation. We propose a new numerical scheme based on the\napproximation of time averaged values of the (unknown) solution.\nAdditionally, we provide a sampling algorithm to approximate the\nstochastic input. We verify optimal convergence of rate 1/2 in time and\n1 in space. This is a joint work with Lars Diening (Bielefeld) and\nMartina Hofmanová (Bielefeld).
Disjoint Stationary Sequences
Tuesday, 7.2.23, 14:30-15:30, Raum 404, Ernst-Zermelo-Str. 1
Disjoint stationary sequences were introduced by Krueger to study\nforcings that add clubs through stationary sets. We answer a question\nof his by obtaining disjoint stationary sequences on successive\ncardinals. This talk will survey the area developed by Krueger and\npresent the general idea of our new result.
TBA
Tuesday, 7.2.23, 15:00-16:00, Raum 226, Hermann-Herder-Str. 10
TBA