Past events
Spring School and Workshop: Spectral Theory, Fourier Analysis and PDEs
From May 27th to May 31st, 2024
Place: Baroja Auditorium, Bizkaia Aretoa, Bilbao.
Event webpage: https://sites.google.com/view/spring-school-stfapde-2024
Workshop: Fractional Calculus, Probability and Non-local Operators
From May 20th to May 22nd, 2024
Place: BCAM - Basque Center for Applied Mathematics, Bilbao.
Event webpage: https://sites.google.com/bcamath.org/fcpnlo2024/home
BCAM SO Course
Introduction to the mathematical theory of incompressible fluids
First part (Francesco Fanelli): from February 26 to March 20, 2024, each Monday and Wednesday from 10.00 to 12.00;
Second part (Renato Lucà): from March 8 to April 29, 2024, each Monday and Wednesday from 11.00 to 13.00
Lecturer: Francesco Fanelli (BCAM & Ikerbasque) and Renato Lucà (BCAM & Ikerbasque)
Place: Maryam Mirzakhani room, BCAM, Bilbao
Course webpage: https://www.bcamath.org/en/news-events/events/bcam-so-course-introduction-the-mathematical-theory-incompressible-fluids
BCAM Course
Tomography Bounds in Fourier Analysis
From March 11th to March 15th, 2024
Lecturer: Itamar Oliveira (University of Birmingham)
Place: Maryam Mirzakhani room, BCAM, Bilbao
Course webpage: https://www.bcamath.org/events/bcamcourse-20240311-tbfa/en/
IV Mathematical Analysis Days BCAM-UR
February 22nd and February 23rd, 2024
Event webpage: https://www.unirioja.es/dptos/dmc/IV-BCAM-UR-2024/
BCAM Course
Non-self-adjoint operators and their spectra
From Jan 29th to February 2nd, 2024
Lecturer: Nico Michele Schiavone (BCAM)
Place: Maryam Mirzakhani room, BCAM, Bilbao
Course webpage: https://www.bcamath.org/events/bcamcourse-20240129-nsaots/en/
Harmonic Analysis and Differential Equations: New Questions and Challenges
September 5th to 8th, 2023
Summer school website: https://sites.google.com/bcamath.org/hadeconference/home
Place: Ensanche Building at Bilbao
Summer school on Unique Continuation and Applications
July 3rd to 7th, 2023
Summer school website: https://sites.google.com/view/summer-school-2023-castro/home
Place: CIEM (International Centre for Mathematical meetings) at Castro Urdiales
5th BCAM-UPV/EHU summer school on harmonic analysis and PDEs: Sphere packing
June 19th to 23rd, 2023
Summer school website: https://sites.google.com/view/hapde2023/home
Place: BCAM and UPV/EHU
Harmonic Analysis, Partial Differential Equations, and Geometric Measure Theory in Bilbao 2023
June 12th to 16th, 2023
Conference website: https://sites.google.com/view/hapdegmt-bilbao-2023/home
Place: Bizkaia Aretoa, Bilbao
Severo Ochoa Course
Inverse Problems
From January 17th to March 9th 2023, on Tuesdays and Thursdays
Inaugural lecture: Friday, December 16th
Lecturer: Alberto Ruiz (UAM)
Regular lectures
Time: 15:00 - 17:00 (total of 32 hours)
Lecturer: Pedro Caro (Ikerbasque and BCAM)
Course description: http://www.bcamath.org/en/seminars/bcam-severo-ochoa-lecture-2022-12-16
BCAM Course
Bellman functions: the dynamic programming point of view.
From November 7th to November 11th 2022, 9:30 - 11:30.
Lecturer: Guillermo Rey (UAM)
Course description and registration: http://www.bcamath.org/en/courses/2022-11-07-bcam-couse
Registration is free, but mandatory before November 2nd 2022. To sign-up go to the website of the course and fill out the registration form.
Place: BCAM seminar room
BCAM Course
Non-uniqueness of weak solutions and existence of dissipative solutions for the Euler equations
Lecturer: Giorgio Cialdea (BCAM).
DATES: 2nd to 6th May 2022 (5 sessions)
TIME: 9:30-11:30, on Friday it will be from 9:00 to 11:00 (a total of 10 hours)
LOCATION: BCAM Seminar Room and Online
ABSTRACT:
In this course we will present the results of De Lellis and Székelyhidi concerning the existence of ‘wild’ solutions for the incompressible Euler equations.
In 2009, the authors, by reformulating the equations as a differential inclusion and using the method of convex integration, were able to obtain an alternative proof of the results of V. Scheffer and A. Shnirelman, about the non-uniqueness of weak solutions and existence of energy-decreasing solutions. By using similar techniques, the authors were also able to extend the results of non-uniqueness to solutions satisfying additional energy inequalities.
We will then present another result by the same authors, concerning the existence of continuous weak solutions on the 3-dimensional torus which dissipate the kinetic energy.
Course description: http://www.bcamath.org/en/courses/2022-05-02-bcam-course
BCAM Severo Ochoa Course
Harmonic Analysis
From January 10th to February 23rd, 2022 (30 hours).
Mondays and Wednesdays from 16:00 to 18:00 .
Also Friday February 11th from 16:00 to 18:00.
Inaugural Lecture by María Jesús Carro (Universidad Complutense de Madrid) on December 15th, 12:00 to 13:30
Lectures: Mateus Sousa (BCAM), Ioannis Parissis (UPV/EHU) and Luz Roncal (BCAM)
Course description: http://www.bcamath.org/en/courses/bcamseveroochoacourse20220110
Place:
The inaugural Lecture will be at Sala Adela Moyua at the Facultad de Ciencia y Tecnología of the UPV/EHU.
Regular lectures will be held BCAM seminar room and online.
BCAM Course
Discrete harmonic analysis and its Applications to ergodic theory.
From November 22nd to November 26th 2021, 9:30 - 11:30.
Lecturer: Tomasz Z. Szarek (BCAM).
Course description: http://www.bcamath.org/en/courses/2021-11-22-26-bcam-course.
Place: BCAM seminar room and online.
Joint meeting APDE - Machine Learning
Thursday January 21st, 2021, 10:00 - 13:00
Program and Further details
Schedule:
Talk 1 - 10:00-10:25
Jónathan Heras (UR)
Title: Machine learning for biomedical imaging
Abstract: In this talk, we will present how machine learning methods, and namely deep learning techniques, are applied to analyse biomedical images. To this aim, we will first introduce the main techniques that are currently used to tackle bioimaging problems; and, subsequently, we will show how those techniques have been applied to deal with several projects conducted by members of our team in collaboration with biomedical researchers. Some of those projects are the segmentation of tumours, the detection of stoma, or the detection of neurons. Finally, we will present some common problems and limitations that are faced in this context.
Talk 2 - 10:30-10:55
Sergei Iakunin (BCAM)
Title: Vortex filament approximation for the reconnection process of two straight antiparallel vortices
Abstract: Reconnection of vortex tubes is a phenomena widely spread in different turbulent flows: from evolution of aircraft condensation trails to interaction of bubble-rings in water. In most experiments vortices after reconnection turn into a hairpin shape with waves running from the reconnection point. This shape looks quite similar to a solution of the vortex filament equation which describes a deformation under self induction of a single vortex filament initially shaped as a corner. In this case all the information about further evolution of vortex filament is contained in the corner tip singularity which corresponds to the reconnection point, however in the real flow it is quite challenging extract some information form this point and even to find it. We propose a modified vortex filament model which includes an interaction between vortices and as a consequence vortex stretching. This new model allows to find the reconnection moment and estimate velocity of the reconnection point before and after the reconnection and more other quantities which are useful for further comparison with the Navier-Stokes simulation of the flow and better understanding of the phenomena.
Talk 3 - 11:00-11:25
Renato Lucà (BCAM)
Title: Machine learning and the Korteweg–de Vries equation.
Abstract: We discuss a recent result of Di Qi and Andrew J. Majda in which the authors propose a neural network model to capture some extreme events appearing in a (truncated) Korteweg–de Vries statistical framework. This models shallow water waves across an abrupt depth change.
Break - 11:25-11:45
Talk 4 - 11:45-12:10
Santiago Mazuelas (BCAM)
Title: Machine learning: what, why, and how.
Abstract: Techniques developed in the field of “machine learning” are enabling numerous practical applications including recommendation systems, fraud detection, and automated translation, among many others. Such practical relevance is causing a wide coverage in the media that is often overloaded with enigmatic jargon and allusions to science fiction. In this talk I will briefly describe the basic ideas behind the techniques referred to as machine learning; from their main differences with other approaches to their mathematical foundations developed in the last decades of the 20th century.
Talk 5 - 12:15-12:40
Jamie Taylor (BCAM)
Title: A design problem for surface treatments in liquid crystals.
Abstract: Liquid crystals are soft, structured materials that are encountered in a wide variety of technological and biological applications. Their softness makes their structures far more susceptible to outside effects, in contrast to (e.g.) classical crystals. Generally, control of liquid crystals can be achieved using external fields, or from surface affects at interfaces with other materials. In this talk we will discuss a multi-pronged approach to understanding how rugosity (fine scale fluctuations on a solid surface) can give "effective" surface treatments which can lead to control of behaviour in the "bulk" of the material. Furthermore, the results can be phrased as a design problem, which is solvable using techniques from machine learning.
Talk 6 - 12:45-13:10
José Antonio Lozano (BCAM)
Title: Combinatorial Optimization and the Fourier Transform
Abstract: This talk deals with the solution of Combinatorial Optimization Problems. We show that while they are defined attending different ideas and criteria they can be put in a common framework by means of the Fourier transform. This is the first step on the path to taxonomize problems and algorithms. We illustrate this approach by means of permutation-based combinatorial optimization problems.
III Mathematical Analysis Days BCAM-UR in Logroño
Thursday February 20th and Friday February 21st, 2020
C/Madre de Dios 53, 26006 Logroño, La Rioja
workshop website: https://www.unirioja.es/dptos/dmc/III-BCAM-UR-2020/
Program and Further details
Horario / Schedule:
(Los títulos estarán disponibles más adelante / Titles yet unavailable)
Jueves 20 de febrero / February 20th, Thursday
Charla 1 / Talk 1 - 15:30-16:10
Luciano Abadías (Unizar)
Charla 2 / Talk 2 - 16:15-16:55
José Luis Ansorena (UR)
Pausa / Pause
Charla 3 / Talk 3 - 17:20-18:00
Ioannis Parissis (UPV/EHU)
Charla 4 / Talk 4 - 18:05-18:45
Javier Martínez Perales (BCAM)
Charla 5 / Talk 5 - 18:50-19:30
Rafael Granero-Belinchón (UCantabria)
Viernes 21 de febrero / February 21th, Friday
Charla 6 / Talk 6 - 9:45-10:25
Judit Mínguez (UR)
Charla 7 / Talk 7 - 10:30-11:10
Diana Stan (UCantabria)
Pausa / Pause
Charla 8 / Talk 8 - 11:35-12:15
Daniel Eceizabarrena (BCAM)
Charla 9 / Talk 9 - 12:20-13:00
Javier Duoandikoetxea (UPV/EHU)
Social agenda: We are planning to arrange a lunch on Friday 21st (starting around 14:30) in a restaurant in Logroño's downtown. The menu would be around 25–30 euro (at own cost). If you are interested, please let us know at the moment of the registration.
APDE Course
UPV/EHU Course: Non-linear Schrödinger Equation: Scattering for large data
Lecturer: Luis Vega (UPV/EHU & BCAM)
Date and time:
— Week 1: Tuesday, November 19th, Thursday, November 21st, 9:00-10:30
— Week 2: Tuesday, December 3rd, Thursday, December 5th, 9:00-10:30
— Week 3: Tuesday, December 10th, Thursday, December 12th, 9:00-10:30
Place: UPV/EHU seminar room
The idea of the course is to continue with the course given by Luis during the first week of November.
BCAM-UPV/EHU Course
Monday 25 - Friday 29 November 2019, 9:00-11:00 (5 sessions)
Poincaré inequalities on domains and elliptic PDE
course website: http://www.bcamath.org/en/courses/2019-11-25-bcam-course
Antti Vähäkangas (University of Jyväskylä)
BCAM, Seminar Room
Abstract
Poincaré inequalities transfer infinitesimal information encoded in the derivative to larger scales. They are among the most important tools in the theory of partial differential equations. The aim of the 10 hour minicourse is to illustrate this general idea with concrete applications to the p-Laplace equation, for finite p > 1, which is a nonlinear generalisation of the classical Laplace equation. The p-Laplace equation arises naturally when we consider minimisers of a p-energy functional with prescribed Sobolev boundary values in a given open set. Solutions of p-Laplace equation have various stability properties: we will show higher integrability for gradients of solutions. Poincaré inequalities and harmonic analytical techniques play a key role in the proof. Lectures are aimed at advanced undergraduate and graduate students, and they are based on a forthcoming joint book of the lecturer with J. Kinnunen and J. Lehrbäck.
BCAM-UPV/EHU Course
Monday 4 - Friday 8 November 2019, 9:40-11:40 (5 sessions)
The vortex filament equation, the Talbot effect and non-circular jets
course website: http://www.bcamath.org/en/courses/2019-11-04-bcam-course
Luis Vega (BCAM&UPV/EHU)
Campus UPV/EHU Leioa, Faculty of Science and Technology
CLASSROOM:
- Monday: Classroom 0.22 9:40 - 12:00
- Tuesday: Classroom 0.26 9:40 - 12:40
- Wednesday: Classroom 0.22 9:40 - 12:00
- Thursday: Classroom 2.5 9:40 - 12:00
BCAM-UPV/EHU Course
Date and time:
— Week 1: Tuesday, November 19th, Thursday, November 21st, 9:00-10:30
— Week 2: Tuesday, December 3rd, Thursday, December 5th, 9:00-10:30
— Week 3: Tuesday, December 10th, Thursday, December 12th, 9:00-10:30
Non-linear Schrödinger Equation: Scattering for large data
Luis Vega (BCAM&UPV/EHU)
Place: UPV/EHU seminar room
Abstract
We propose the vortex filament equation as a possible toy model for turbulence, in particular because of its striking similarity to the dynamics of non-circular jets. This similarity implies the existence of some type of Talbot effect due to the interaction of non-linear waves that propagate along the filament. Another consequence of this interaction is the existence of a new class of multi-fractal sets that can be seen as a generalization of the graph of Riemann’s non-differentiable function. Theoretical and numerical arguments about the transfer of energy will be also given. This a joint work with V. Banica and F. de la Hoz.
Dirac Eguna: Mathematical Physics
Speakers: María Jesús Esteban (University of Paris-Dauphine & C.N.R.S.) and Michael Loss (Georgia Institute of Technology)
Place: BCAM Seminar room (Alameda Mazarredo 14, Bilbao)
Date and time: 8 July 2019, 10:30
More information on the event website:
http://www.bcamath.org/en/workshops/bcamdiraceguna2019
July 1 - 5, 2019
BCAM
BCAM Workshop
June 26, 2019, 10:00 - 17:30
Sinergy of Inverse Problems at Bilbao
BCAM, Seminar Room
The meeting Synergy of Inverse Problems at Bilbao aims at gathering researchers working on inverse problems to reinforce connections between European institutions and BCAM. We want to make this event a forum to share knowledge on inverse problems. For that reason, 4 experts from different European institutions have been invited to deliver specific courses on relevant topics, beside a local expert to disseminate the research carried out at BCAM.
Speakers
Daniel Faraco (Universidad Autónoma de Madrid)
Andoni García (BCAM - Basque Center for Applied mathematics)
Fabricio Macià (Universidad Politécnica de Madrid)
Ivan Pombo (Univerisidade de Aveiro / CIDMA)
Lauri Ylinen (University of Helsinki)
More information at the workshop website:
BCAM Course
Monday 17 - Friday 21 June 2019, 10:00-12:00 (5 sessions)
POINTWISE CONVERGENCE OF SOLUTIONS OF THE SCHRÖDINGER EQUATION TO THE INITIAL DATUM
course website: http://www.bcamath.org/es/courses/2019-06-17-bcam-course
Renato Lucà (Universität Basel)
BCAM, Seminar Room
BCAM Course
Monday 18 - Friday 22 March 2019, 10:00-12:30 (4 sessions) (except Tuesday)
VARIATIONAL THEORIES OF LIQUID CRYSTALS: MATERIALS SCIENCE AT MANY LENGTH SCALES
Giacomo Canevari (Verona) and Jamie M. Taylor (BCAM)
BCAM, Seminar Room
BCAM Course
Monday 18 - Friday 22 March 2019, 10:00-12:30 (4 sessions) (except Tuesday)
VARIATIONAL THEORIES OF LIQUID CRYSTALS: MATERIALS SCIENCE AT MANY LENGTH SCALES
Giacomo Canevari (Verona) and Jamie M. Taylor (BCAM)
BCAM, Seminar Room
en memoria del profesor Bernardo Cascales
March 4 - 8, 2019
BCAM
jointly with the event
en memoria del profesor Bernardo Cascales
March 7 - 8, 2019