STFAPDE 2025: Bilbao Hosts the Spring School on Spectral Theory, Fourier Analysis, and PDEs

From 12 to 14 May, the Baroja Auditorium at Bizkaia Aretoa in Bilbao became the epicentre of mathematical discourse during the second edition of the Spring School and Workshop on Spectral Theory, Fourier Analysis, and Partial Differential Equations (STFAPDE 2025). This event brought together a diverse community of researchers, including master's students, doctoral candidates, early-career postdocs, and established experts, fostering a vibrant exchange of ideas across different career stages.

Organised by Lucrezia Cossetti (Ikerbasque and UPV/EHU) and Luca Fanelli (Ikerbasque & BCAM) alongside Fabio Pizzichillo (Universidad Politécnica de Madrid), the workshop aimed to bridge gaps between closely related fields that often evolve independently. The programme featured two in-depth mini-courses: one on Spectral Theory by Benjamin Schlein (University of Zurich) and another on Partial Differential Equations by Xavier Ros-Oton (University of Barcelona). These sessions provided participants with comprehensive insights into foundational and contemporary topics.

A series of invited talks enriched the programme, with contributions from Davide Barbieri (Universidad Autónoma de Madrid), Begoña Barrios (University of La Laguna), Chiara Boccato (University of Pisa), Cristiana De Filippis (University of Parma), Francesco Fanelli and Luz Roncal (BCAM), Hynek Kovařík (University of Brescia), Diego Noja (University of Milano-Bicocca), and Xiaoyan Su (Loughborough University). These presentations highlighted the intricate interplay between spectral theory, harmonic analysis, and PDEs, showcasing both theoretical advancements and practical applications.

While the anticipated Fourier Analysis course by Prof. Christoph Thiele was cancelled due to unforeseen circumstances, the organisers ensured the programme remained robust and engaging.

The workshop was supported by the Basque Government (Project IT1615-22), the Spanish State Research Agency (Project PID2021-123034NB-100), and Ikerbasque, reflecting strong institutional backing for interdisciplinary mathematical research.