## CIME School on PDE and GMT

Title of the CIME School: Partial Differential Equations and Geometric Measure Theory’
When: June 2 – 7, 2014
Where:  Cetraro, Italy
Courses:

• Henry Berestycki (Centre d’analyse et de math. sociales, France):  Reaction-diffusion and propagation in non-homogeneous media
• Camillo De Lellis (Univ. Zurich, Switzerland):  The h-principle, the Nash-Kuiper theorem and the Euler equations
• Alessio Figalli (Univ. Texas Austin, USA):  Monge-Ampere type equation and applications
• Frank Morgan (Williams College, USA):  Geometric Measure Theory, Isoperimetric Problems and Manifolds with Density
• Ireneo Peral (Univ. Madrid, Spain):  Elliptic and parabolic equations equations related to growth models.

Master/PhD students and young researchers of all ages are welcome to
visit the CIME webpage
http://web.math.unifi.it/users/cime/

## Seminario Grupo de Teoría de Aproximación y Polinomios Ortogonales

El Grupo de Teoría de Aproximación y Polinomios Ortogonales organiza el Seminario cuyos datos se detallan a continuación:
Fecha: Viernes, 29 de noviembre de 2013
Programa:

Sesión 11:30. Yuan Xu (University of Oregon)
Título: Approximation and Sobolev Orthogonal Polynomials on Unit Ball
Abstract: For the spectral Galerkin method in numerical solution of partial differential equations, we need to understand the approximation by polynomials in the Sobolev spaces. For this purpose, it is necessary to study orthogonal structure of the Sobolev space $W_2^r$ that consists of functions whose derivatives up to $r$-th order are all in $L^2$. In this talk, we discuss new result on Sobolev orthogonal polynomials in $W_2^r$ for all positive integer $r$ and approximation in the Sobolev space on the unit ball in $\mathbb{R}^d$, and describe sharp estimate for the error of best approximation in the Sobolev space and its application in the spectral Galerkin methods.

Sesión 12:45. Andrei Martínez Finkelshtein (Universidad de Almería)
Title: Equilibrium problems related to asymptotics of Hermite-Padé polynomials.
Abstract: Polynomials of multiple orthogonality (or Hermite-Padé polynomials) arise in many problems related to number theory, random matrix theory and stochastic processes, to mention a few. It became clear recently that understanding their asymptotic is crucial for solving many open problems in these areas. It is well-known that the logarithmic potential and in particular, equilibrium measures, provide the description of the leading term of asymptotics for standard orthogonal polynomials. However, the situation is much more difficult and less clear for the Hermite-Padé polynomials, where the general theory is still to be created. I will explain some ideas about the vector equilibrium for these polynomials, based on the work of Gonchar, Rakhmanov, Aptekarev and others.

## Geometry Day 2013

As in previous years, the Research Group Problemas variacionales en Geometría (FQM 325, Junta de Andalucía) organizes the Geometry Day. The 2013 event will be held in the morning of next December 13 at the IEMath-GR (main conference room).

Invited speakers:

• Esther Cabezas-Rivas (Goethe Universität Frankfurt)
• Tom Ilmanen (ETH Zürich)
• Camillo de Lellis (Universität Zürich)
• Melanie Rupflin (Max Planck Institute, Potsdam)

## Postdoc position at Imperial College

24 month postdoctoral position in geometric analysis at Imperial College, starting October 2014.

The position is funded by ERC but it will be part of a larger research consortium including also Peter Topping (Warwick) and Mihalis Dafermos (Cambridge), funded by a major Programme grant from EPSRC.

For instructions, see

## Postdoc positions at University College London

Three postdoctoral research positions are advertised at University College London:

• Research associate to work with Felix Schulze in geometric analysis. The post is partially funded by the project “Regularity and stability of curvature flows and their applicatons to geometric variational problems” of the German Research Foundation.
• Research Associate to work with Jason Lotay on the EPSRC-funded project “Special holonomy: geometric flows and boundary value problems”.
• Research Associate in Geometry of Moduli Spaces to work with Michael Singer on the EPSRC-funded project “Monopole moduli spaces and manifolds with corners”.

## Second Japanese-Spanish workshop on Differential Geometry

Dates: February 5-10, 2014

Place: Tokyo Institute of Technology

## Cursos de Doctorado: Doctoral Intensive Week in PDEs and Applications

Curso de Doctorado: Doctoral Intensive Week in PDEs and Applications
Fechas: 21-25 de Octubre de 2013
Primera sesión: 21 de Octubre a las 9:00 horas
Lugar: Seminario Alberto Dou (Aula 209), Facultad de Ciencias Matemáticas, UCM
Organiza: Instituto de Matemática Interdisciplinar en colaboración con el Proyecto Europeo FIRST
http://www.mat.ucm.es/imi

Curso de Doctorado: The partial differential equations of image processing (and their surprising applications to today’s life)
Profesor: Jean-Michel Morel (Ecole Normale Sperieur de Cachan, Francia)
Fechas: 21-25 de Octubre de 2013
Primera sesión: 21 de Octubre a las 9:00 horas
Lugar: Seminario Alberto Dou (Aula 209), Facultad de Ciencias Matemáticas, UCM
Organiza: Instituto de Matemática Interdisciplinar en colaboración con el Proyecto Europeo FIRST
http://www.mat.ucm.es/imi

Curso de Doctorado: Numerical Simulation and Optimization of Industrial Problems
Profesor: Alfredo Bermúdez de Castro (Universidad de Santiago de Compostela)
Fechas: 21-25 de Octubre de 2013
Primera sesión: 21 de Octubre a las 9:00 horas
Lugar: Seminario Alberto Dou (Aula 209), Facultad de Ciencias Matemáticas, UCM
Organiza: Instituto de Matemática Interdisciplinar en colaboración con el Proyecto Europeo FIRST
http://www.mat.ucm.es/imi

Curso de Doctorado: Some Methods of Nonlinear Functional Analysis in Nonlinear Partial Differential Equations
Fechas: 21-25 de Octubre de 2013
Primera sesión: 21 de Octubre a las 9:00 horas
Lugar: Seminario Alberto Dou (Aula 209), Facultad de Ciencias Matemáticas, UCM
Organiza: Instituto de Matemática Interdisciplinar en colaboración con el Proyecto Europeo FIRST
http://www.mat.ucm.es/imi

Curso de Doctorado: Introduction to semigroup theory applied to evolutionary equations
Profesores: José M. Arrieta and Anibal Rodríguez Bernal (Universidad Complutense de Madrid)
Fechas: 21-25 de Octubre de 2013
Primera sesión: 21 de Octubre a las 9:00 horas
Lugar: Seminario Alberto Dou (Aula 209), Facultad de Ciencias Matemáticas, UCM
Organiza: Instituto de Matemática Interdisciplinar en colaboración con el Proyecto Europeo FIRST
http://www.mat.ucm.es/imi

Imparte: Prof. Jesús H. Lucio García (Universidad de Burgos)
Fecha: 10 de Octubre de 2013, de 10 a 14h
Lugar: Seminario 306, Facultad de Ciencias Matemáticas, UCM
Organiza: Instituto de Matemática Interdisciplinar en colaboración con el Grupo Momat y Addlink
http://www.mat.ucm.es/imi

## Position at University of California at Santa Cruz

We have received information about an open position in Analysis/Geometric Analysis at UCSC. See details here.

## Encuentro de Investigadores de la REAG 2013

Dates: October 10-11, 2013

Place: IEMath-GR

## PhD studentship in Geometry at Universitat Autònoma de Barcelona

The topic of the thesis should fit the objectives of the research project: Geometry of Symmetric Spaces (MTM2012-34834), funded by the Ministerio de Economía y Competitividad, Spain (see a description below).

Principal investigator: Joan Porti, Universitat Autònoma de Barcelona
Contact e-mail: porti@mat.uab.cat

How to apply and further information on

Deadline for applications: September 10, 2013, 15:00 (Barcelona time).
Tentative starting date: January 2014.
Applicants must hold a Bachelor degree in Mathematics and preferably also a Master’s degree in Mathematics.
Salary: work contract of 16,422 € each year (gross) for four years. Full time dedication.

### Project Summary

We will study different aspects of the geometry of symmetric spaces: geometric structures, actions of thin groups and integral geometry. More precisely the questions are:

1. We rise the study of the space of representations of groups in the isometries of a symmetric spaces, either locally (deformations) and globally (moduli spaces). We want to study geometric structures associated to those representations, with special interest in projective structures.
2. We aim to understand the action of thin groups in the ideal boundary of a symmetric space of higher rank. The goal is to describe the dynamics in terms of the Tits building structure, in particular we seek for discontinuity domains at infinity, if possible cocompact.
3. We want to develop integral geometry in symmetric spaces, starting with rank one, taking the approach of valuations. We aim to deepen the results for complex projective and hyperbolic spaces and to extend them to quaternionic spaces (projective, hyperbolic and affine).

## Pre-doctoral grant in Mathematical Modeling

The research group M2S2M (Mathematical Modeling and Simulation of Environmental Systems) offers two 4-year term pre-doctoral contract to prepare a Ph D Thesis. The group M2S2M performs a research activity since 1982 in Computational Fluid Dynamics, dealing with numerical modeling of environmental flows (shallow water and oceanic flows), turbulence modeling, numerical analysis, scientific computing and domain decomposition techniques. It has developed over 30 research projects with private and national and international public funding, published over 200 research papers and advised 10 Ph D Thesis.

The group M2S2M is seeking young, highly motivated researchers with good formation in applied mathematics (mathematicians, physicists, engineers, architects), who meet the following requirements:

1. Very good ability for team work and learning.
2. A master degree in mathematics (engineering, architecture or physics might also be considered).
3. High level of proficiency in English or Spanish.
4. Special interest in the fields of numerical analysis and scientific computing.

The two pre-doctoral contracts are funded by the Spanish Government, within two research projects:

• “Development of reduced models of aero-thermal flows in buildings”.  The objective of the project is to build numerical models for the computation of the energetic efficiency of buildings, based upon the  accurate parameterization of the thermal exchange between the air and the building.  It is developed by a research team composed by applied mathematicians and thermal engineers. It is a highly challenging subject, as usual procedures for the computation of the heat exchange are un-useful due to the huge amount of degrees of freedom required.The long-term application of this research is the elaboration of computed-aided programs for the eco-efficient design of buildings, much as today structural computer-aided program allow to compute the structural charges in the process of design of building by architects.
• “Development, analysis, and efficient implementation of high order numerical methods for simplified fluid models with data uncertainty”.   The ultimate aim of this project is the development of efficient geophysical flow simulators that are expected to become useful tools to model river and channel flows, marine currents, sedimentation/erosion processes, turbidity currents, etc. These tools play a fundamental role in operational forecasting and risk management in natural hazards, as floods, avalanches, tsunami waves, etc. To achieve this goal, simplified depth-integrated flow models will be considered whose mathematical form are nonlinear hyperbolic PDE systems that may include source terms and/or nonconservative products.

Interested candidates are requested to send their CV to Prof. Tomás Chacón, chacon@us.esand to Prof. Enrique Fernández-Nieto, edofer@us.es, specifying their interest for contract 1 or 2.

The deadline for the call is next September 10, 2013.

Detailed information (in Spanish) including the formal submission procedure is available at:http://www.idi.mineco.gob.es/portal/site/MICINN/menuitem.dbc68b34d11ccbd5d52ffeb801432ea0/?vgnextoid=68eb71d255dcf310VgnVCM1000001d04140aRCRD

## Geometric Analysis Seminar in Valencia

Dates: September 4-7, 2013
Place: School of Mathematical Sciences (University of Valencia, Spain)
Website: http://www.uv.es/~gruv/GAS-UV13/GAS-UV13.html

## XXII International Fall Workshop on Geometry and Physics

Dates: September 2-5, 2013
Place: Evora, Portugal
Website: http://www.ifwgp2013.uevora.pt/