Speaker
Mara Pompili
(University of Graz)
Description
Cluster algebras are built by repeated “mutation,” but their basic arithmetic is still mysterious: do elements factor uniquely? I’ll describe algorithms that, for a large class of cluster algebras (including many from surfaces and Grassmannians), compute the divisor class group, decide when unique factorization holds, and even list all factorizations of a given element. This is a joint work with D. Smertnig.
Affiliation
University of Graz
Author
Mara Pompili
(University of Graz)
Co-author
Prof.
Daniel Smertnig