The mathematical colloquium of the HHU Düsseldorf takes place every
Friday
16:45 - 17:45 in room 25.22 HS 5H.
Before the colloquium from 16:15 everybody is invited for tea, coffee and cookies in 25.22.00.53.
| 11.04.2014 |
Jon González Sánchez
(University of the Basque Country, Spain). |
| |
On Tate's p-nilpotency criterion. |
| 25.04.2014 |
Daniel Huybrechts (Bonn). |
| |
K3 surfaces: Geometry, lattices and homological algebra. |
| 09.05.2014 |
Markus Perling
(Düsseldorf). |
| |
The Markov equation and derived categories. |
| 16.05.2014 |
Laure Saint-Raymond
(ENS Paris).
Abstract. |
| |
From Newton's dynamics to the heat equation.
The goal of this lecture is to show how the brownian motion can be derived rigorously from a deterministic system of hard spheres in the limit where the number of particles N tends to infinity, and their diameter simultaneously converges to 0. As suggested by Hilbert in his sixth problem, we will use the linear Boltzmann equation as an intermediate level of description for the dynamics of one tagged particle. We will discuss especially the origine of irreversibility, which is a fundamental feature of both the brownian motion and the Boltzmann equation having no counterpart at the microscopic level.
|
| 23.05.2014 |
Thorsten Wedhorn
(Paderborn). |
| |
Hasse-Invarianten. |
| 06.06.2014 |
Nalini Anantharaman
(Paris 11, Orsay). |
| |
Quantum ergodicity. |
| 27.06.2014 |
Michael Hinz
(Bielefeld).
Abstract. |
| |
Calculus and differential geometry without smoothness.
The talk deals with analysis on fully singular spaces (i.e.
singular at every or almost every point). In the first part we give a
brief and gentle introduction to a subject which was started in the
late eighties and early nineties by Goldstein, Kusuoka, Barlow, Bass,
Kigami and others and is now referred to as 'Analysis on fractals'.
Energy functionals (Dirichlet forms) play a key role. In the second part
we explain some new results concerning vector analysis and differential
geometry on fractals. We will point out natural connections to PDE,
stochastic processes, cohomology and Riemannian geometry.
|
| 04.07.2014 |
Maria Westdickenberg (Aachen).
Abstract. |
| |
Some recent results related to energy landscapes: distances, convergence rates, and rare events.
Many analytical results aim at global energy minimizers or convergence under a smallness assumption on the initial data, however many important applied problems and interesting mathematical phenomena probe regimes far from global minimizers or for more general initial data. We survey a few examples in which we have been able to find analytical estimates for less traditional problems such as estimating the size of energy barriers, deriving sharp rates for coarsening or convergence under fairly general conditions, and bounding the probability of rare events.
|
| 11.07.2014 |
Matthias Kreck
(Bonn). |
| |
Von Mannigfaltigkeiten über Codes zum Leech-Gitter. |
