The Doc-Course in Geometric Analysis is an activity of the Andalusian Institute of Mathematics (IAMAT), and developed at its two venues: the Institute of Mathematics of the University of Granada (IEMath-GR) and the Institute of Mathematics of the University of Seville (IMUS), plus the University of Cádiz (UCA). This activity is framed within the Research Unit in Mathematics, iMAT.
This 10-week post-graduate intensive school aims at developing research skills and subject expertise. Its main objective is doing research under the supervision and guidance of an assigned academic tutor. Additionally, the program consists of four specific courses and a conference.
At the end of the Doc-Course, students with a favorable evaluation will receive a diploma including the equivalence of 400 hours of dedication as a training activity.
20 students have been selected to participate in the doc-course among all applicants.
The deadline for the application was May 10, 2019.
The selection of participants has been communicated on May 27, 2019.
The courses will take place during the first four weeks of the program. Each course will be 12 hours long and taught in English.
IMUS October 1-11, 2019.
The isoperimetric problem seeks minimizers of the perimeter among sets enclosing a given volume. While this problem is solved in Euclidean space, where the unique solutions are the round balls, the situation is very different in other spaces, where even the existence of minimizers is not guaranteed. The aim of this course is to analyze the following topics in relation to the problem:
IMUS October 1-11, 2019.
The study of surfaces attending to their mean curvature H goes back to the origin of the Calculus of Variations in times of Euler and Lagrange. Minimal surfaces (H=0) are critical points of the area functional, while surfaces with constant nonzero H (CMC) have critical area for variations that preserve volume. We will cover:
IEMath-GR October 14-25, 2019.
In this course we will explain different aspects of minimal surface theory, with special emphasis on the following topics:
IEMath-GR October 14-25, 2019.
In this last course of the series, we will discover how the above techniques and ideas can be applied to understand several PDEs with geometric content. We will cover:
This conference will gather together experts in geometric analysis from distinguished research institutions, and will take place at University of Cádiz (October 28-31).
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PhD students attending the Doc Course will also participate in short research projects supervised by experts, in which they will learn some of the most up-to-date techniques in Geometric Analysis. This will take place at Universities of Cádiz, Granada and Seville from November 4 to December 3.
On December 4 and 5, there will be an informal workshop in which the participants will present their projects.