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Algebraic loops and Drinfeld modules

Grant number: 13/10596-8
Support Opportunities:Research Grants - Visiting Researcher Grant - International
Duration: August 10, 2013 - August 13, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal Investigator:Alexandre Grichkov
Grantee:Alexandre Grichkov
Visiting researcher: Dmitrii Logachev
Visiting researcher institution: Universidad Simón Bolívar (USB), Venezuela
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:10/50347-9 - Algebras, representations e applications, AP.TEM

Abstract

We will study the Drinfeld modules and their generalizations. For this we interpretate an action of Hecke operators in term of action some algebraic group on affine Grassman variety. We begin the systematic study of algebraic Moufang and diassociative loops. In particulary, we will study of structure of diassociative local loop on cubic superface (Yu.Manins Problem). (AU)

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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)
GRISHKOV, A.; LOGACHEV, D.. Lattice map for Anderson t-motives: First approach. JOURNAL OF NUMBER THEORY, v. 180, p. 373-402, . (13/10596-8)
GRISHKOV, A.; LOGACHEV, D.. Resultantal varieties related to zeroes of L-functions of Carlitz modules. FINITE FIELDS AND THEIR APPLICATIONS, v. 38, p. 116-176, . (13/10596-8)

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