Abstract: Scaling problems have a rich and diverse history, and
thereby have found numerous applications in several fields of
science and engineering. For instance, the matrix scaling problem
has had applications ranging from theoretical computer...
Abstract: In this second lecture, we will continue our gentle
introduction. We will discuss some of the underlying geometry and
introduce the associated moment polytopes. These are a rich class
of convex polytopes that arise naturally in a variety...
Abstract: We will give a gentle introduction to geometric
invariant theory, which provides geometric and analytic tools to
study problems in invariant theory. We will explain the basic tools
and concepts and give many motivating examples. In the...
Abstract: An invariant is a function that remains unchanged
under certain transformations. If an invariant has different values
on two objects, then we have an easy proof that one object cannot
be transformed into the other. In Invariant Theory one...
Abstract: Symmetries are a main source of unifying principles in
mathematics and physics and groups are the appropriate mathematical
concept for describing symmetries. Representation theory studies
linear transformations in the presence of...
Abstract: The first two lectures will expand the panorama of
research areas, motivations, problems and results in the scope of
this workshop, highlighting many of the topics and lectures during
this week. We will focus on one problem: the...
Abstract: The first two lectures will expand the panorama of
research areas, motivations, problems and results in the scope of
this workshop, highlighting many of the topics and lectures during
this week. We will focus on one problem: the...