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
This talk will provide an accessible introduction to the theory of Operator Algebras, assuming no prior background beyond standard Functional Analysis. After introducing the two main types of operator algebras (C*-algebras and von Neumann algebras) and providing several illustrative examples, the talk will focus on specific aspects of the theory tailored to the upcoming working seminar on Noncommutative Harmonic Analysis. In particular, we will explore group C*-algebras and group von Neumann algebras—which arise naturally in harmonic analysis—as well as the foundational theory of tracial states and tracial comparison.
TBD
TBD
TBD
The working seminar this semester will be on Noncommutative Calderón-Zygmund theory and its applications to PDEs over operator algebras.
Date and room 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]