The ubiquity of Wronskians in mathematics, with emphasis in algebraic geometry

• Grant number: 12/02869-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: July 23, 2012
• End date: January 22, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Parham Salehyan
• Grantee: Parham Salehyan
• Visiting researcher: Letterio Gatto
• Visiting researcher institution: Politecnico di Torino, Italy
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

Within the last twenty years, Wronskians have been revealed to be mathematical objects of very much great interest, in spite of their seeminglyinnocent and natural definition. The main reasonis that they are a common tool to solve and/or to interpret classes of problems in many different areas of mathematics, going from the elementary theory of (systems of) ordinary differential equations (ODEs in the following) to the numerative geometry of curves, to the study ofthe intersection theory on the moduli space of curves, from the real and complex Schubert calculus to the theory of symmetric functions.The main purpose of the present project is to establishes the several bridges existing among these different disciplines within an interdisciplinary framework, in order to obtain new mathematical results. (AU)

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)

GATTO, LETTERIO; SALEHYAN, PARHAM. The boson-fermion correspondence from linear ODEs. Journal of Algebra, v. 415, p. 162-183, OCT 1 2014. (12/02869-1)