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Interactions between operad theory and ring theory

Grant number: 22/10933-3
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: January 26, 2023 - March 25, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Ivan Chestakov
Grantee:Ivan Chestakov
Visiting researcher: Vladimir Dotsenko
Visiting researcher institution: Université de Strasbourg, France
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM

Abstract

The main purpose of this project is to facilitate new collaborations and knowledge transfer betweenexperts in operad theory and experts in ring theory. Vladimir Dotsenko introduziu, em trabalho conjunto com Khoroshkin, a técnica de bases de Gröbner para operados. Embora originalmente motivado por aplicações na teoria da homotopia, este novo método acabou sendo uma nova ferramenta poderosa para estudar variedades de álgebras definidas por identidades multilineares. Espera-se que tornar essa ferramenta acessível aos pesquisadores brasileiros da teoria de anéis leve a novas colaborações frutíferas. (AU)

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