IMPRS-Ringvorlesung: Winter semester 2021/2022

About this lecture
Due to the rather broad spectrum of topics within the IMPRS, the curriculum consists of a core curriculum to be attended by all students and a variety of more specialized lectures and courses. The heart of our teaching program certainly is the Ringvorlesung. Each semester the Ringvorlesung focuses on one field and is usually delivered by scientific members of the IMPRS who introduce different approaches and visions within this field.

Topics

Part I + II: Spectra of tensors and their applications
Speakers: André Uschmajew, Raffaella Mulas

There exist several possibilities for defining eigen- and singular values for tensors, based on critical points of multilinear forms or homogeneous equations. In this mini course we introduce some of these concepts, discuss their basic properties as well as their relation to low-rank approximation and hypergraph theory. Geometric questions and computational aspects will also be considered.

Part III: Symmetry enriched fractionalization in quantum matter with emergent Z_2 and U(1) gauge fields
Speaker: Inti Sodemann

Date and time info
6-8 lectures, on Wednesdays 2 pm, starting November 3, 2021

Prerequisites
basic knowledge in linear algebra, graph theory and optimization