description

BCAM holds a series of training courses on advanced aspects of applied, computational and pure mathematics. They are mainly aimed at training master and doctoral students:

1. BCAM & UPV/EHU Courses are recognized by the University of the Basque Country within the Master on Mathematical Modelling, Statistics and Computing Research, but anyone else is welcome to participate.
See below

2. BCAM Courses (others) for postgraduate students and researchers.
See below

3. BCAM Severo Ochoa Course program in Pure Mathematics
The 2022-2023 program comprises courses in 3 areas: Geometry and topology, Analysis and Algebra, with several complementary lectures. Courses will be preceded by a general audience motivating lecture by a renowned expert in which the main aspects of the theory will be presented.


GEOMETRY & TOPOLOGY

Inaugural lecture: Symplectic wars, part II: Flexibility strikes back, Francisco Presas (ICMAT)

Complementary lectures:
Morse Homology by María Pe Pereira (UCM)
Characteristics classes by Jose Seade (UNAM)

Pre-course: for those who need to develop a background, upon request there will be a pre-course Guided reading in algebraic topology given by Eki Gonzalez (BCAM).

Course 1: CLASSICAL TOOLS IN DIFFERENTIAL TOPOLOGY
by Pablo Portilla (Université de Lille)
10 - 21 October 2022. Monday to Friday from 10:00 to 12:00
Location: UPV/EHU and Online
Course description

Course 2: INTRODUCCIÓN A LA GEOMETRÍA SIMPLÉCTICA
by Marisa Fernádez (UPV/EHU)
15 to 24 November 2022. Monday to Thursday from 15:00 to 16:00.
Location: UPV/EHU
Course description


ANALYSIS

Inaugural lecture: Inverse problems: A new approach to PDE by Alberto Ruiz (UAM)

Course 3. INVERSE PROBLEMS
by Pedro Caro (BCAM-Ikerbasque)
17 January to 9 March 2023. Tuesdays and Thursdays from 15:00 to 17:00.
Location: BCAM and Online
Course description


ALGEBRA

Pre-course: for those who need to develop a background, upon request there will be a pre-course Commutative algebra given by Marta Aldasoro (BCAM).

Course 4. INTRODUCTION TO MULTIPLICITY THEORY
by Ilya Smirnov (BCAM-Ikerbasque)
April 4 and 5, from 15:00 to 17:15
April 18, 19, 20, 21, 25, 26, 27 and 28, from 15:15 to 17:15
May 11 and 12 from 15:15 to 17:15
Location: UPV/EHU and Online
Course description


ORGANIZATION
The following people are in charge of the courses program. Please contact them for any course suggestion.
• The Scientific Program of BCAM Courses in Applied Mathematics is coordinated by J. Fernández de Bobadilla.
• The Scientific Program of BCAM Severo Ochoa Course Program in Pure Mathematics is coordinated by the following Committee:
- J. Ignacio Cogolludo (Zaragoza, head of the inter-university Ph.D. program).
- C. Gorría (UPV/EHU, head of the inter-university Ph.D. program).
- L. Roncal (BCAM).
- L. Vega (UPV/EHU-BCAM).
- I. Kazachkov (UPV/EHU).
- J. Fernáńdez de Bobadilla (BCAM).

duration

• BCAM & UPV/EHU Courses are 10-hours courses, organized in five sessions from Monday to Friday between 9:00 and 11:00.
• BCAM Courses have a more flexible structure, according to the lecturer and audience.
• BCAM Severo Ochoa Course Program in Pure Mathematics comprises several courses per year, aiming to cover a balanced thematically spectrum within pure mathematics and helping our students to build a solid theoretical core. The format and schedule of the courses is not necessarily fixed: they can range from a semester weekly meeting courses to intensive courses or even clusters of courses forming a mini-school.

language

Please, note that English is the official language at BCAM and all the courses will be taught in English.

location

The courses take place at BCAM headquarters: Alameda de Mazarredo 14, 48009 Bilbao - Basque Country - Spain. Some courses may be given at the UPV/EHU.
Efforts are currently be taken in transmitting courses in streaming to reach wider audiences. Some course may take a purely on-line format.

registration

Attendance at the courses is free, but the inscription is mandatory. Please, check the requirements of each specific course in the available offer.