Tilting theory over weighted projective lines

• Grant number: 18/08104-3
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: November 03, 2018
• End date: November 29, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Eduardo do Nascimento Marcos
• Grantee: Eduardo do Nascimento Marcos
• Visiting researcher: Edson Ribeiro Alvares
• Visiting researcher institution: Universidade Federal do Paraná (UFPR). Setor de Ciências Exatas (SCE), Brazil
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 14/09310-5 - Algebraic structures and their representations, AP.TEM

Abstract

The aim of this project is to continue the study of the tilting theory on weighted projective line and the connection with the representation theory of finite dimension algebras. This colaboration is based on a former work done between the candidate, the coordenator and Prof. Patrick Le Meur, of Université Paris Diderot, who will participate as co-coordenator. Edson Ribeiro Alvares and Patrick Le Meur visited the IME-USP from October 29 till November 12 of 2017 and in this visit we got some results related with the behavior of tilting objects in the category of coherent sheaves over the weighted projective line. At that time we iniciated a discussion about this joint project between Edson Ribeiro Alvares.This visit will follow the following calendar:Alvares visited IME-USP from 01 to 31 August 2018.He is now working at Université Paris Diderot under with Patrick Le Meur and will be there till October 31, 2018. Next Alvares will return to IME-USP to work with Prof. Marcos from November 3st till November 30, 2018. During the month of November Prof. Patrick Le Meur visitará o IME-USP in order to continue this project.Alvares got finantial help from France in the Months of September and October, for this reason we are asking finantial support of Fapesp, only in the period that Alvares will be at IME-USP (AU)