Das Mathematische Kolloquium ist eine gemeinsame wissenschaftliche Veranstaltung des gesamten Mathematischen Instituts. Es steht allen Interessierten offen und richtet sich neben den Mitgliedern und Mitarbeitern des Instituts auch an die Studierenden. Das Kolloquium findet dreimal im Semester am Donnerstag um 17:00 s.t. im Hörsaal II, Albertstr. 23b statt. Danach (gegen 16:15) gibt es Kaffee und Kekse, zu dem der vortragende Gast und alle Besucher eingeladen sind.
Thursday, 27.4.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
Thursday, 4.5.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
Norm resolvent concergence of operators in varying spaces and applications
Thursday, 18.5.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
In many problems one is interested in the convergence of Laplacians on\nspaces, that change not only metrically, but also topologically.\nAn example is given by the (Neumann) Laplacian on a small neighbourhood\nof an embedded graph, or by Laplacians on manifolds with small obstacles\nremoved.\n\nWe will discuss a generalised norm resolvent convergence, that allows\nthe operators to act in varying spaces, and which still has the usual\nconsequences of norm resolvent convergence, such as convergence of the\nspectra.
Gluing constructions by singular perturbation methods in Differential Geometry
Thursday, 1.6.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
Discrete Geodesic Paths in the Space of Images
Thursday, 29.6.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
The space of images will be considered as a Riemannian manifold, where the underlying Riemannian metric simultaneously \nmeasures the cost of image transport and intensity variation, introduced by Trouv{\b’e} and Younes as the metamorphosis model.\nA robust and effective variational time discretization of geodesics paths will proposed and a variational scheme for a time discrete exponential map will investigated.\nThe approach requires the definition of a discrete path energy consisting of a sum of consecutive image matching functionals over a set of image intensity maps and pairwise matching deformations.\nThe talk will present existence and convergence results and discuss applications in image morphing and image animation.\n\n
Modules as exact functors
Thursday, 6.7.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
A module - a linear representation of a ring (or other object) - can\noccur as a representation of many different rings (under Morita, or more\ngenerally tilting, equivalence, for example). This can be seen as\nchoosing a different generator for an abelian category canonically\nassociated to the module. From the point of view of model theory it is\nchoosing a different home sort in the associated category of\nimaginaries. Through this we are led to an alternative view of what a\nmodule is, which I will illustrate with some examples and applications.\n
Singularity Formation in Geometric Flows
Thursday, 20.7.17, 17:00-18:00, Hörsaal II, Albertstr. 23b
Thursday, 27.7.17, 17:00-18:00, Hörsaal II, Albertstr. 23b