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 15:00 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.
On the Natural Appearance of Continuous Negative Definite Functions in the Analysis of Stochastic Processes
Donnerstag, 23.4.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Continuous negative definite functions in the sense of Schoenberg appear\nin various parts of modern mathematics. One example is\npotential theory on locally compact Abelian groups. In the theory of\nstochastic processes it is well known that with each Lévy process one\nassociates a function of this class and that this relationship is in a\ncertain sense 1:1. In this talk, we analyze other occasions where\ncontinuous negative definite functions show up, namely in the context of\nFeller processes as well as homogeneous diffusions with jumps. We give\nan overview on the applications or theses functions in analyzing path\nand distributional properties of the processes under consideration.\n\nBibliography:\n\n[1] Behme, A. and Schnurr, A. (2014+): A Criterion for Invariant\nMeasures of Itô Processes Based on the Symbol. To appear in Bernoulli.\n\n[2] Schnurr, A. (2013): Generalization of the Blumenthal-Getoor Index to\nthe Class of Homogeneous Diffusions with Jumps and Some Applications.\nBernoulli 19(5A) (2013), 2010-2032.\n
Donnerstag, 30.4.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Donnerstag, 7.5.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Donnerstag, 14.5.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Geometry from Physics: Calabi-Yau manifolds and the Positive Mass Theorem
Donnerstag, 21.5.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
A variety of questions lie at the interface between geometry and physics. One of the\nmain reasons for this is the Einstein Equation, which describes how the spacetime is\ncurved by matter and energy. This talk has two parts. The first one focuses on Calabi-\nYau manifolds, which are Riemannian solutions of the Einstein Equation in vacuum.\nHere I will present a program I have initiated for studying the geometry and topology\nof Calabi-Yau manifolds arising as crepant resolutions using global analysis\ntechniques. In the second part, I will focus on the notion of mass of an isolated\ngravitational system, and present an approach for extending Witten's proof of the\nPositive Mass Theorem to nonspin manifolds.
Donnerstag, 28.5.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Donnerstag, 4.6.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Comme Appelé du Néant - In Memory of Alexander Grothendieck
Donnerstag, 11.6.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Curves on K3 surfaces
Donnerstag, 18.6.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Donnerstag, 25.6.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Festkolloquium zum 50-jährigen Promotionsjubiläum von Prof. Dr. Herbert Amann
Donnerstag, 2.7.15, 15:30-16:30, Hörsaal Virologie, Hermann-Herder-Straße 11
Veranstaltungsort ist der Hörsaal Virologie, Hermann-Herder-Str. 11 \n(Haus C, d.h. rechter Eingang und dann links halten)\n\n15:30 Uhr Vortrag: "On some regularity results for elliptic boundary value problems" \nProf. Dr. Beirão da Veiga (Università di Pisa)\n\n16:45 Uhr Kaffepause\n\n17:30 Uhr Vortrag: "Dynamics of Nematic Liquid Crystal Flows" \nProf. Dr. Jan Prüß (Martin-Luther-Universität Halle-Wittenberg)
Donnerstag, 9.7.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Donnerstag, 16.7.15, 17:00-18:00, Hörsaal II, Albertstr. 23b
Donnerstag, 23.7.15, 17:00-18:00, Hörsaal II, Albertstr. 23b