An invitation to cluster algebraic geometry - Greg Muller скачать в хорошем качестве

An invitation to cluster algebraic geometry - Greg Muller

Title: An invitation to cluster algebraic geometry Abstract: Cluster algebras were introduced by Fomin and Zelevinsky to axiomatize patterns found in the canonical basis of functions on certain Lie groups. In this talk, I will give a whirlwind survey of the basic definitions, big theorems, and unexpected applications, all through the lens of the geometry of the associated variety/scheme. From the unexpectedly good (like the totally positive part and the friezes), to the unexpectedly bad (like non-Noetherian singularities), the geometry of cluster algebras is still producing surprises 25 years later.