PDE group seminar
PDE group seminar
This is the website for the internal group seminar of the UPC PDE group at FME. All members of the PDE group and long-term visitors are welcome to give a talk!
Each session consists of a 1-hour talk (preferably in English). These talks do not need to be about ongoing work; they can simply be an introduction to your topic or a discussion of a paper you read recently.
Once every two weeks, on Tuesdays from 11:00 to 12:00.
Room: FME, 102
TBD
TBD
We will describe the main 20th century developments in the theory of elliptic PDEs. Starting from the Laplace and Poisson equations, we will move towards the most relevant nonlinear equations, which arise in Geometry, Stochastic control theory, and Optimal transport. This will justify the need to distinguish between variational and nonvariational equations. We will describe the main techniques and results within each of the two theories, while making an overview on existence, uniqueness, regularity, and symmetry issues for solutions.
24/03 (FME, Room 102) - Calderón-Zygmund theory (Olli Saari)
03/03 (FME, Room 102) - An introduction to Operator Algebras (Eduard Vilalta)
The working seminar this semester will be on Noncommutative Calderón-Zygmund theory and its applications to PDEs over operator algebras.
Once every two weeks, on Tuesdays from 11:00 to 12:00. Starts on April 14.
Room: FME, 102
Sessions:
14 April: Tracial states, functional calculus and Lp spaces. Eduard Vilalta
28 April: TBD
12 May: TBD
26 May: TBD
Preliminary bibliography:
J. Parcet. Análisis Armónico No Conmutativo, Probabilidad Cuántica y Espacios de Operadores. Quadern del Centre de Recerca Matemàtica, 2006. [Link]
A.M. González-Pérez, M. Junge and J. Parcet. Singular integrals in quantum Euclidean spaces. Mem. Amer. Math. Soc 272, 2021. [Link]
J. Parcet. The impact of Schur multipliers in harmonic analysis and operator algebras. Proceedings ICM 2026. [Link]