Actions of the braid group in triangulated categories

• Grant number: 19/08284-4
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 20, 2019
• End date: August 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Eduardo do Nascimento Marcos
• Grantee: Eduardo do Nascimento Marcos
• Visiting researcher: Hagen Meltzer
• Visiting researcher institution: Szczecin University, Poland
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We plan to study the action of the braid group in the tilting objects of vários classes of abelian categories and triangulated categories. The conjecture is that this action is transitive. This will have strong consequences. We want to work in particular cases for instance in some classes of modules over artin algebras and in the category of coherent sheaves over the projective space P^n. (AU)