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## Seminar Yann Palu

- Details
- Published: 15 February 2014

Dr. Yann Palu from Universite de Picardie, Amiens France will give a talk on our bi-weekly "Algebra Seminar"

title : "An introduction to Caldero-Chapoton maps"

on

Wednesday, March 5, 2014

14.30 - 15.30

place : Ruang Seminar I.2 Gedung Matematika Labtek III ITB

Abstract :

"An Introduction to Caldero-Chapoton maps"

Cluster algebras were introduced by Fomin and Zelevisky. They are defined by giving specific generators, called cluster variables. The Caldero-Chapoton map is an important tool in the theory of categorification of cluster algebras. It gives an "explicit" formula for the cluster variables of a cluster algebra associated with a quiver in terms of the representations of this quiver. The talk will be an introduction, illustrated with examples, to the Caldero-Chapoto map for Jacobi-finite quivers.

And he will also give a talk in our monthly "Mathematics Seminar"

on Monday, March 3, 2014

15.00 -16.00

place : Ruang Rapat Gedung Matematika Labtek III ITB

Abstract :

"Cluster algebras and representation theory"

Cluster algebras were introduced by Fomin and Zelevisky in their study of total positivity and canonical bases. Starting from an oriented graph, one can define the generators of a cluster algebra by means of an inductive operation called "mutation". This unusual definition forces cluster algebras to satisfy several interesting properties, such as the Laurent phenomenon and positivity. The combinatorics underlying this mutation procedure turned out to appear in many different areas of mathematics: Integrable systems, Poisson geometry, Algebraic geometry, Representation theory of algebras... This talk will be an introduction to cluster algebras and an illustration of their basic properties with some small examples.