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401-5002-21L DR D-MATH

Cluster Algebras and Cluster Categories via Surfaces

Lecturers: Prof. Dr. Karin Ursula Baur
VVZ CR n/a

Last Updated: 2026-02-05 15:54:12

Abstract

Nachdiplom lecture

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.

General Information

Language
English
Levels
DR

Examination

Type
no performance assessment

Course Components

Type Title Time & Place Hours
lecture Cluster Algebras and Cluster Categories via Surfaces
Time: 10:15 – 12:00
  • Wed 10:15-12:00 (HG G 43)
2 h weekly

Offered In

  • Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)