Seminars usually take place either at
UPV/EHU, Seminar Room of the Mathematics Department, Facultad de Ciencias, on Thursdays at 12:00, or
BCAM, Seminar Room, on Thursdays at 17:00.
Some seminars were recorded, and the videos can be found together with the description of the seminar on the subpage related to the year the talk happened. You can also find them here.
To subscribe to the seminar mailing list, contact one of the organizers.
As of October 23rd, 2025, the count of talks reached 267.
BCAM, Thursday, November 6th, 2025, 17:00 - 18:00
Title: Boundary value problems for 2-D Dirac operator on corner domains
Fabio Pizzichillo - Universidad Politécnica de Madrid
We present recent results on self-adjoint extensions of Dirac operators on planar domains with corners under infinite-mass boundary conditions. Corners are shown to hinder the elliptic regularity valid for smooth boundaries.
We then extend the analysis to unbounded domains with infinitely many corners: the operator is self-adjoint when no concave corners are present, while in the concave case self-adjoint extensions arise. Among these, we single out a distinguished extension whose domain lies in a Sobolev space H^s, with s ≥ 1/2 depending on the corner opening.
Finally, we briefly present another related model involving delta-shell interactions and mention a forthcoming result in this direction.
The results presented come from different works in collaboration with Hanne Van Den Bosch and Miguel Camarasa.
UPV/EHU, Thursday, November 13th, 2025, 12:00 - 13:00
Title: Fourier analytic methods in the spectral theory of Schrödinger operators
Dr. Konstantin Merz - Institute of Analysis and Algebra and Institute for Partial Differential Equations
Estimating the location and accumulation of eigenvalues for Schrödinger operators is a classical problem at the intersection of spectral theory and mathematical physics. In this talk, we illustrate how Fourier analysis, in particular Fourier restriction, yields sharp eigenvalue estimates for Schrödinger-type operators with short-range potentials. We highlight the limitations of such methods for long-range potentials and show how they can be overcome by introducing randomness. Our results shed new light on the critical temperature for superconductivity in BCS theory and on the energy and lifetime of resonances in nuclear physics.
BCAM, Thursday, November 20th, 2025, 17:00 - 18:00
Title: TBA
Luz Roncal- BCAM
TBA