BIMSA > Topics in Representation Theory Topics in Representation Theory Tropical cluster varieties and phylogenetic trees
Tropical cluster varieties and phylogenetic trees
Organizers
Semen Artamonov , Yevgen Makedonskyi , Pavel Nikitin , Shamil Shakirov
Speaker
Igor Makhlin
Time
Friday, May 22, 2026 1:00 PM - 2:30 PM
Venue
A3-2a-302
Online
Zoom 242 742 6089 (BIMSA)
Abstract
A famous early work in tropical geometry by Speyer and Sturmfels realizes the tropicalization of Gr(2,n) as the space of phylogenetic trees. I will recall this construction and then consider the problem of extending it to other cluster algebras of finite type (rather than higher Grassmannians, which seems to be hopeless). An explicit answer will be given for type C in terms of trees with axial and/or central symmetry.