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 |
karbaur@ethz.ch | |
Department | Mathematics |
Relationship | Visiting Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-5002-21L | Cluster Algebras and Cluster Categories via Surfaces | 0 credits | 2V | K. U. Baur | |
Abstract | Nachdiplom lecture | ||||
Objective | |||||
Content | Twenty 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. |