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Geometric methods in representation theory

Grant number: 16/14648-0
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Start date: March 01, 2017
End date: November 30, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Vyacheslav Futorny
Grantee:João Fernando Schwarz
Supervisor: Igor Burban
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Institution abroad: University of Cologne (UoC), Germany  
Associated to the scholarship:14/25612-1 - Extensions of Noether's problem and Gelfand-Kirillov's conjecture to certain classes of noncommutative algebras, BP.DR

Abstract

We are going to study aspects of algebraic geometry and invariant theory, in particular algebraic groups and Geometric Invariant Theory, in order to the student to learn more techniques to study representation theory and Lie theory, which is the main focus of his PhD thesis, along with some structural question of algebras, where the above subject is also relevant. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FUTORNY, VYACHESLAV; SCHWARZ, JOAO. Algebras of invariant differential operators. Journal of Algebra, v. 542, p. 215-229, . (18/18146-5, 16/14648-0, 14/25612-1, 18/23690-6)