Seminars

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 March 31st, 2026, the count of talks reached 289.

Upcoming Seminars

Seminar

EHU, Thursday, May 7th, 2026. 12:00 - 13:00

Spectral stability of electromagnetic Dirac operators

Matias B. Morales - EHU

Abstract

In this talk we study Dirac operators perturbed with Coulomb-type electromagnetic potentials. We establish the total absence of eigenvalues under some smallness assumptions on the potentials and discuss in which cases the whole spectrum remains unchanged. This is done mainly by the method of multipliers, which has been extensively used to study the point spectrum of self-adjoint operators in quantum mechanics.

This talk is based on a joint work with Naiara Arrizabalaga and Lucrezia Cossetti.

Seminar

BCAM, Thursday, May 14th, 2026, 17:00 - 18:00

Power weight inequalities for spherical maximal functions

Marco Fraccaroli - UMass Lowell

Abstract

The average of a Schwartz function f over the sphere of radius t and centre x in R^d is

A_t f(x) := ∫_{S^{d-1}} f(x + tω) dσ(ω),

where σ is the normalized surface measure on the sphere S^{d-1}. For any set of dilations E contained in (0,∞), the spherical maximal function M_E is defined by taking pointwise the supremum of the averages over t in E.

When E = (0,∞), Stein and Bourgain proved that M_E is bounded on L^p(R^d) if and only if p > d/(d-1) in dimensions d > 2 and d = 2, respectively. In fact, for any E, the lower bound on p depends on the Minkowski dimension of E, as shown by Seeger, Wainger, and Wright. Moreover, when E = (0,∞), Duoandikoetxea and Vega established the weighted L^p estimates for M_E with power weights |x|^α.

TBA

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