## Seminar in Cluster algebras

•  Greg Muller, University of Oklahoma
•   Scattering diagrams of marked surfaces
•  11/29/2018
•  3:00 PM - 4:00 PM
•  C117 Wells Hall

Every cluster algebra has an associated 'scattering diagram': an affine space endowed with a (possibly very complicated) collection of 'walls'. The structure of this scattering diagram encodes essential information about the cluster algebra's exchange graph, Laurent coefficients, and theta functions. In this talk, I will discuss an ongoing project with Nathan Reading and Shira Viel to construct a scattering diagram associated to a triangulable marked surface. The affine space may be identified with the set of certain measured laminations' on the surface, and the walls may be identified with certain forbidden subgraphs embedded in the surface, which we call barricades'.

## Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science