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Monoidal categorifications of cluster algebras

Grant number: 19/23347-2
Support type:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): March 31, 2020
Effective date (End): March 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Artem Lopatin
Grantee:Yury Popov
Supervisor abroad: David Hernandez
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
Research place: Université Paris Diderot - Paris 7, France  
Associated to the scholarship:16/16445-0 - Representations of (super)algebras of Jordan type, BP.DR

Abstract

We will study certain monoidal categories of finite-dimensional representations of quantum affine algebras. In particular, we aim to show that their Grothendieck rings have a structure of a cluster algebra.