course

Curso "Some classical properties of minimal surfaces"

date
-
modality
In person
speaker
Laurent Mazet
description

Título: Some classical properties of minimal surfaces.
Conferenciante: Laurent Mazet (Université Paris-Est - Créteil)

Abstract: The aim of these lectures is to introduce some basic results concerning minimal surface theory. The lectures will focus to the theory in R^3 even if some of the results can be generalized to Riemannian manifolds and higher dimension. The main points will be : the first variation formula and the definition of minimal surfaces, the monotonicity formula, the second variation formula, the classification of stable minimal surfaces in R^3, the Bernstein theorem.

Fechas: 14 y 15 de Marzo de 2017
Horario: 10:00-12:30
Lugar: Seminario 2ª Planta

activity type
course
institution
Université Paris-Est - Créteil

Minicurso: Discrete Diferential Geometry

date
-
modality
In person
speaker
Pascal Romon
description

Título: Discrete Diferential Geometry.
Conferenciante: Pascal Romon.
Hora: 16:00 - 20:00.
Lugar: Seminario 2ª planta.
Minicurso impartido dentro de los cursos "Actualización Científica", "Formas y Curvatura" y "Matemáticas Aplicadas a la Informática" del máster en Matemáticas.

activity type
course
institution
Université Paris-Est Marne-la-Vallée

Graduate School: Introduction to Geometric Analysis

date
-
modality
In person
description

BCAM-PV/EHU Graduate School: Introduction To Geometric Analysis: The Atiyah-Singer Index Theorem

June 5-23, 2017

Objectives:

Geometric Analysis consists in applying PDE tools in order to prove deep theorems in Geometry. It is one of the areas mathematics with more spectacular results in the last half a century.

The school is primarily aimed for Master and beginning Ph. D. students, and hence prerequisites will be kept to a minimum. The objective is to develop the tools and some working knowledge in Geometric Analysis, that is the interaction of manifold theory with PDE analysis. We hope to bring together students in analysis and geometry and establish a fruitful interaction between them.

We have chosen as a guiding goal of the school, to develop the tools and explain a proof of one of the most classic and striking theorems in geometric analysis, namely the Atiyah-Singer Index Theorem. Besides the importance of the theorem, we feel that developing the tools, assembling a proof and explaining some applications (Hirzebruch-Riemann-Roch and Hirzebruch signature theorems) will help the students in learning useful techniques in geometry and analysis, and learning how they can be combined in order to prove deep results.

The school will last for three weeks. The first two weeks will be devoted to develop basic techniques in geometry and analysis of PDE’s, which are needed for the proof of the theorem, but which are completely central by themselves. In the third one Atiyah-Singer index theorem will be proved, some applications will be derived, and in addition some topics of modern geometric analysis will be surveyed, in order to let the participants taste some topics of current research.

Prerequisites:

In geometry and topology we will assume basic knowledge in differentiable manifolds, basics in algebraic topology, including cohomology, Poincare duality and fundamental classes of submanifolds. In analysis we will assume basic real analysis, the basic theory of Hilbert spaces.

Speakers:
Enrique ARTAL Universidad de Zaragoza
Laurent BESSIERES, Institut de Mathématiques de Bordeaux
Pedro CARO, BCAM
Javier FERNÁNDEZ de BOBADILLA, BCAM
Vicente MUÑOZ, Universidad Complutense de Madrid
Carlos PÉREZ, BCAM-UPV/EHU

(More speakers TBA).

Organizers:

Marisa FERNÁNDEZ, UPV/EHU
Gustavo FERNÁNDEZ ALCOBER, UPV/EHU
Javier FERNÁNDEZ de BOBADILLA, BCAM
Luis VEGA (BCAM-UPV/EHU
Ion ZABALLA,UPV/EHU

More info at http://www.bcamath.org/en/workshops/bcam-upv-ehu-graduate-school-geometry

Poster:

BCAM-UPV_SCHOOL-PosterA4

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course
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