Memorial José Luis Rubio de Francia
José Luis Rubio de Francia (1949-1988) nació en Miedes, Zaragoza. Se licenció y doctoró en Matemáticas por la Universidad de Zaragoza. Su tesis doctoral, "Integración en grupos clásicos y abstractos con aplicaciones al Análisis de Fourier", fue dirigida por el profesor Luis Vigil. Desde 1989 el Departamento de Matemáticas viene celebrando anualmente un coloquio especial para honrar la memoria de José Luis (véase la lista de conferenciantes más abajo).
Por su parte la Real Sociedad Matemática Española, con el patrocinio de la Universidad Autónoma de Madrid y la Universidad de Zaragoza, convoca anualmente el premio "José Luis Rubio de Francia" para jóvenes investigadores e investigadoras en Matemáticas.
2024 - Eugenia Malinnikova (Standford University)
Lunes, 20 de mayo de 2024, 11:30h, Aula 520, Departamento de Matemáticas
We consider the eigenfunctions of the Schrödinger operator with growing potential on the Euclidean space. To localize the eigenfunctions on the phase space, we construct a decomposition of the phase space into rectangles and show that each eigenfunction has some non-trivial mass concentrated near the corresponding energy shell. This is an ongoing joint project with Stefano Decio, Jaume De Dios Pont, and Svetlana Mayboroda.
2023 - Stefanie Petermichl (Universität Würzburg)
On the Hilbert transform
Viernes, 22 de septiembre de 2023, 12:00h, Aula 520, Departamento de Matemáticas
2022 - Emanuel Carneiro (International Centre for Theoretical Physics - Trieste, Italy)
Sharp inequalities: restriction and uuncertainty
Viernes, 3 de junio de 2022, 12:00h, Aula 520, Departamento de Matemáticas
ONLINE: https://us06web.zoom.us/j/82650507551
The quest to find the sharp forms of functional inequalities has always been a beautiful and challenging theme in analysis. Among the most celebrated achievements of the last century one could certainly include the sharp forms of the Hausdorff-Young inequality for the Fourier transform, Young’s inequality for convolutions, the Hardy-Littlewood-Sobolev inequality and the classical Sobolev embeddings.
In this talk we will discuss a few sharp inequalities related to the Fourier transform, within two themes: Fourier restriction theory and Fourier uncertainty principles. In the first theme, we will be mainly concerned with the classical restriction setup for quadratic surfaces (spheres, paraboloids, cones and hyperboloids) arising from the seminal work of Strichartz of 1977. Related questions involving mixed norms and stability issues will also be addressed. In the second theme, we will address the problem of prescribing the sign of a function and its Fourier transform at infinity, and doing this in an optimal way (in an appropriate sense). This phenomenon was introduced by Bourgain, Kahane and Clozel in 2010 under the name of "sign Fourier uncertainty", and brings interesting connections to the sphere packing problem.
In this talk we will discuss a few sharp inequalities related to the Fourier transform, within two themes: Fourier restriction theory and Fourier uncertainty principles. In the first theme, we will be mainly concerned with the classical restriction setup for quadratic surfaces (spheres, paraboloids, cones and hyperboloids) arising from the seminal work of Strichartz of 1977. Related questions involving mixed norms and stability issues will also be addressed. In the second theme, we will address the problem of prescribing the sign of a function and its Fourier transform at infinity, and doing this in an optimal way (in an appropriate sense). This phenomenon was introduced by Bourgain, Kahane and Clozel in 2010 under the name of "sign Fourier uncertainty", and brings interesting connections to the sphere packing problem.
2021 - María Jesús Carro (Universidad Complutense de Madrid)
Restricted weak type (1,1) estimates via extrapolation
Viernes, 12 de noviembre de 2021, 12:00h
ONLINE: https://us06web.zoom.us/j/87962914049
2020 - Carlos Pérez Moreno (Universidad del País Vasco - BCAM)
Fractional Poincaré inequalities through Harmonic Analysis
Viernes, 6 de noviembre de 2020, 12:00h
ONLINE: https://conecta.csic.es/b/jos-ajp-qp4
2019 - Jesús Bastero (Universidad de Zaragoza)
An overview on the KLS-spectral gap conjecture
Miércoles, 29 de mayo de 2019, 12:00h
Aula 520, Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2018 - Tatiana Toro (University of Washington, Seattle, USA)
Geometry of Measures
Viernes, 25 de mayo de 2018, Sala 520, 11:30 h.
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
In the 1920’s Besicovitch studied linearly measurable sets in the plane, that is sets with locally finite ”length”. The basic question he addressed was whether the infinitesimal properties of the ”length” of a set E in the plane yield geometric information about E itself. This simple question marks the beginning of the study of the geometry of measures and the associated field, Geometric Measure Theory.
In this talk I will present several examples of measures that arise naturally in different contexts, for example PDEs and free boundary regularity problems. I will discuss how the infinitesimal properties of a measure yield a great deal of information about the measure and its support. In turn this sheds light on the original problem which gave rise to the measure in question
2017 - Pertti Mattila (University of Helsinki)
Hausdorff dimension, Kakeya problems and projections
Viernes, 9 de junio de 2017, Sala 520, 11:30 h.
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2016 - Jim Wright (University of Edinburgh)
A talk with two tales: From absolutely to uniformly convergent Fourier series
Viernes, 10 de junio de 2016, Sala de Seminarios 520, 11:30 h.
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2015 - Luis Vega (EHU-BCAM)
Remarks on the uncertainty principle from a mathematical point of view
Viernes, 25 de junio de 2015, Sala de Seminarios 520, 12:00 h.
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
(Cartel)
2014 - Andreas Seeger (University of Wisconsin-Madison)
Singular integral related to a problem on mixing flows
Viernes, 27 de junio de 2014, Sala de Seminarios 520, 11:30h
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2013 - Alan McIntosh (Australian National University)
Hardy Spaces Associated with Elliptic Operators and their Connection with Lp Spaces
Lunes, 10 de junio de 2013, Sala de Seminarios 520, 12:00h
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2012 - Kari Astala (University of Helsinki)
Vectorial Calculus of Variations and Interpolation with Complex Exponents
Viernes, 18 de mayo de 2012, Sala de Seminarios 520, 11:30h
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2011 - Alexander Volberg (Michigan State University)
Singular Integrals: Surviving in bad neighborhoods
Viernes, 27 de mayo de 2011, Sala de Seminarios 520, 11:30 h
Departamento de Matemáticas
Módulo 17 de la Facultad de Ciencias (UAM)
2010 - Detlef Müller (Christian-Albrechts-Universität, Kiel, Alemania)
Problems of Harmonic Analysis related to finite type hypersurfaces in \[\mathbb R^3\]
Miércoles 9 de junio de 2010, a las 15:00, en la Sala 520 del Departamento
2009 - Francisco Marcellán (Universidad Carlos III de Madrid)
Polinomios ortogonales y teoría de operadores: Problemas abiertos y algunas aplicaciones
2008 - Steve Hofmann (University of Missouri, Columbia)
Geometric Flatness, Singular Integrals and PDE's
2006 - Aline Bonami (Université d'Orléans)
Products of H1 and BMO, weak factorization and Hankel operators
2005 - Peter Sjögren (Chalmers University, Göteborg)
Weak L1 estimates for Poisson-type integrals
2004 - Luis A. Caffarelli (University of Texas, Austin)
Obstacle like problems: geometry and regularity
2003 - Peter Jones (Yale University)
2002 - Steven Wainger (University of Wisconsin, Madison)
2001 - Elias Stein (Princeton University)
2000 - Michael Cowling (U. of New South Wales, Sydney)
1999 - Anthony Carbery (University of Edinburgh)
1998 - Bruno Franchi (Universita de Bologna)
1997 - Gunther Uhlman (University of Washington, Seattle)
1996 - Carlos Kenig (University of Chicago)
1995 - Robert Fefferman (University of Chicago)
1994 - Gilles Pisier (Paris VI)
1993 - Guido Weiss (Washington University)
1992 - Eugene Fabes (University of Minnesota)
1991 - Jean Bourgain (IHE, France)
1990 - Michael Chirst (UCLA)
1989 - Yves Meyer (Ceremade, Paris IX)