Seminars

Jun
05
2018

Optimization, Complexity and Invariant Theory

Tensors: rank, entropy and entanglement
Matthias Christandl
3:45pm

Abstract: We wish to understand when a tensor s can be transformed into a tensor t by application of linear maps to its tensor legs (we then say s restricts to t). In the language of restrictions, the rank of a tensor t is given by the minimal size...

Jun
05
2018

Optimization, Complexity and Invariant Theory

Alternate minimization algorithms for scaling problems and their analysis
Rafael Oliveira
2:00pm

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...

Jun
05
2018

Optimization, Complexity and Invariant Theory

Introduction to geometric invariant theory 2: Moment polytopes
Michael Walter
11:15am

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...

Jun
05
2018

Optimization, Complexity and Invariant Theory

Introduction to geometric invariant theory 1: Noncommutative duality
Ankit Garg
9:30am

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...

Jun
04
2018

Optimization, Complexity and Invariant Theory

An introduction to Invariant Theory
Harm Derksen
3:45pm

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...

Jun
04
2018

Optimization, Complexity and Invariant Theory

A gentle introduction to group representation theory
Peter Buergisser
2:00pm

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...

Jun
04
2018

Optimization, Complexity and Invariant Theory

Motivations, connections and scope of the workshop
11:15am

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...

Jun
04
2018

Optimization, Complexity and Invariant Theory

Motivations, connections and scope of the workshop
9:30am

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...