Karin Ursula Baur: Catalogue data in Spring Semester 2021

Name Prof. Dr. Karin Ursula Baur
(Professor Ruhr-Universität Bochum)
Address
Professur für Mathematik
ETH Zürich, HG G 48.2
Rämistrasse 101
8092 Zürich
SWITZERLAND
E-mailkarbaur@ethz.ch
DepartmentMathematics
RelationshipVisiting Professor

NumberTitleECTSHoursLecturers
401-5002-21LCluster Algebras and Cluster Categories via Surfaces0 credits2VK. U. Baur
AbstractNachdiplom lecture
Objective
ContentTwenty years of research in cluster theory have established deep links between cluster algebras, surface geometry and representation theory. Cluster structures can be defined using surface geometry, with curves corresponding to cluster variables and to rigid objects in associated categories. The classical Ptolemy relations give rise to exchange phenomena or mutation in the associated cluster structures.

In these lectures I will focus on the geometric approach to cluster algebras and cluster categories. Topics discussed will include cluster structures on the Grassmannian, friezes, laminations, Postnikov diagrams, dimer models, root combinatorics.