Hasse-Schmidt derivations tools for algebra and algebraic geometry
Finite geometry, Algebraic curves and Applications to Coding Theory
Origins of generic point in algebraic geometry and mathematical practice
| Grant number: | 12/02869-1 |
| Support type: | Research Grants - Visiting Researcher Grant - International |
| Duration: | July 23, 2012 - January 22, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Algebra |
| Principal researcher: | Parham Salehyan |
| Grantee: | Parham Salehyan |
| Visiting researcher: | Letterio Gatto |
| Visiting researcher institution: | Politecnico di Torino, Italy |
| 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 |
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)
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