Math Postdoc Seminar

Overview

The Math Postdoc Seminar provides the NYUAD postdoc community with an opportunity to discuss their work. It is a bi-weekly event held at New York University Abu Dhabi. Occasionally, we also have the pleasure of hosting special sessions by senior researchers.

The sessions are tailored in one of the following two formats:

Standard Sessions. 

Our standard sessions are built based on a standard research seminar of 45 minutes, preceded by a non-standard introductory mini-session of about 20 to 30 minutes. Here is an overview of the expected outline:

    • 20-minute presentation of a preliminary result and the elements of its proof, which is preferably linked to the remaining part of the session and may serve in other contexts.
    • 10-minute break (discussion).
    • 45-minute talk (including questions and a final discussion).

Mini-Courses. 

An intensive one-day session of two+two-hours of lectures given by senior researchers, covering broad areas of research such as Analysis, Probability and Geometry with applications in PDEs and Mathematical Physics.

 

Academic year 2024-2025

  • January 24, 2025. 9h:30 & 14h:30 in A2 Building.
    • Mini-Course (2+2 hours) by Fabrice Baudoin
    • Title: Analysis and geometry of Dirichlet forms: An introduction
    • Abstract: We provide an overview of the fundamentals in the theory of Dirichlet forms. Dirichlet forms theory allow us to define Laplacians, PDEs and boundary conditions in very general frameworks which do not require any kind of smooth structures including metric spaces like fractals. In this mini-course, we will cover the following topics:
        1. Contraction semigroups, quadratic forms and generators in Hilbert spaces;
        2. Dirichlet forms;
        3. Examples of Dirichlet spaces: Divergence forms diffusion operators, Riemannian manifolds, Fractals, Metric spaces;
        4. The Gagliardo-Nirenberg interpolation theory in Dirichlet spaces.
  • January 2025 in A2 Building.