Topics include the
Ricci flow, the spectrum of
Laplacian, isoperimetric
inequalities and Sobolev constants,
the heat kernel and Riesz transform,
minimal submanifolds, the Yamabe
problem, cohomology of square
integrable forms on non-compact
manifolds, geometric evolution
equations and analysis on symmetric
and locally symmetric spaces.
Goal:
The goal of the school is to give an introduction to
current topics of research in Geometric Analysis as
well as presentations of latest results and of open
problems in this field. It is directed towards the
interests of students of mathematics and physics
specializing in geometric analysis as well as
post-doctoral fellows and researchers from Iran and
other countries in the region. Participants are
expected to be reasonably familiar with differential
geometry and basic theory of elliptic partial
differential equations.