Vorträge in der Woche 26.11.2018 bis 02.12.2018

Dienstag, 27.11.2018: Das minimale Modellprogramm, Teil III

Prof. Dr. Ivo Radloff (Uni Tübingen)

Das MMP, die birationale Klassifikation algebraischer Varietäten, ist zentrales Thema der komplexen algebraischen Geometrie. Forschung zum MMP wird immer wieder mit höchsten Preisen geschmückt, zuletzt mit der Fields-Medaille an C.Birkar. Im dritten Teil wird der Flächenfall in der modernen Formulierung vorgestellt. Das Beispiel der 27 Geraden wird zu Ende diskutiert und eine Anwendung vorgestellt.

Dienstag, 27.11.2018: The special value Z'(1) of the Selberg zeta function for the modular group

Anna von Pippich

In this talk, we report on an explicit formula for the special value at s=1 of the derivative of the Selberg zeta function for the modular group. The formula is a consequence of a generalization of the arithmetic Riemann--Roch theorem of Deligne and Gillet--Soul\'e to the case of the trivial sheaf on the modular curve, equipped with the hyperbolic metric. This is joint work with Gerard Freixas.

Donnerstag, 29.11.2018: Existence and computation of a dissipative feedback

Nicola Guglielmi (Gran Sasso Science Institute, L'Aquila)

Donnerstag, 29.11.2018: Wigner measures and effective mass theorems

Prof. Clotilde Fermanian Kammerer (Universite Paris Est)

In this talk, we shall present recent results concerning the dynamics of an electron in a crystal in the presence of impurities. It is well-known that for most initial data, the wave function can be approximated in the semi-classical limit by the solution of a simpler equation, the effective mass equation. Using Floquet-Bloch decomposition, we establish effective mass equations for rather general initial data, by introducing a new type of effective mass equations which are operator-valued and of Heisenberg form

Freitag, 30.11.2018: Microlocal interlude

Prof. Clotilde Fermanian Kammerer (Universite Paris Est)

Some questions are at the threshold between harmonic analysis and partial differential equations and can be studied in the Euclidean space or in more complicated non-commutative settings like compact Lie groups such as the Heisenberg group. Our goal will be to use one of these questions in order to get familiar with the microlocal approach and to understand how it can be implemented in various frameworks.