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Linear Recurrent Relations, Linear ODEs and Generalized Pieri's Formulas

Grant number: 15/04513-8
Support type:Scholarships abroad - Research
Effective date (Start): September 01, 2015
Effective date (End): February 29, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Algebra
Principal researcher:Parham Salehyan
Grantee:Parham Salehyan
Host: Letterio Gatto
Home 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
Research place: Politecnico di Torino, Italy  

Abstract

Within the last twenty years, Wronskians have been revealed to be mathematical objects of very much great interest, in spite of their seemingly innocent and natural definition. The main reason is 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 enumerative geometry of curves, to the study of the 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 toestablishes the several bridges existing among these different disciplines within an interdisciplinary framework, in order to obtain new mathematical results.

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