start_english
This is an old revision of the document!
DMA PhD Colloquium
The colloquium takes place every other Thursday in salle W at 10:30am.
Organizers : Thomas Serafini, Gaspard Gomez
2024-2025
- Wednesday, 29/01 : Paul Wang. Categoric theory of systems.
- Thursday, 13/02 : Thomas Serafini. Monodromy and differential equations.
The monodromy of a family of topological spaces is an object which gives information on how the fibers deform up to homotopy. I will explain how it is, quite surprisingly, closely linked with linear homogeneous differential equations with holomorphic coefficients.
- Thursday, 6/03 : Alexis Metz-Donnadieu. An introduction to brownian geometry.
- Thursday, 27/03 : Aleks Bergfeldt . Harmonic analysis on the Heisenberg group.
The Heisenberg group is one of the most simple non-Abelian Lie groups. The Lie algebra components (vector fields) X, Y, Z satisfy [X,Y] = Z. We recognise this relation from quantum mechanics, where the position and momentum operators satisfy this relation, or from signal processing, where it is satisfied by the operations of translating in frequency and translating in time. I have studied the Schrödinger equation formulated on the Heisenberg group, with the help of non-Abelian harmonic analysis. I will give some insight about how this differs from its Euclidean counterpart, and about some of the key techniques and ideas.
start_english.1742552840.txt.gz · Last modified: 2025/03/21 10:27 by tserafini