Functorial and algebraic methods in the study of systems of linear partial differential equations
A first aim of the research project FUNALGPDE is to let the applicant get in a long contact with the Research Institute for Mathematical Sciences, Kyoto, Japan. At RIMS Dr Morando will learn new interdisciplinary methods in the algebraic study of differential equations and their applications to other fields of mathematics (representation theory, differential geometry, Hodge theory, algebraic geometry and mirror symmetry) from many internationally acknowledged mathematicians. In a second period, the project aims to reintegrate Dr Morando in the European scientific community letting him to develop his research in Europe. Moreover, the Università degli Studi di Padova will benefit of all the knowledge Dr Morando would have acquired in Japan. In particular,
Dr Morando is the perfect candidate for this project. He developed very good abilities in the processes of learning, teaching and cooperating in many different countries. He already established very good cooperations with Japanese or other foreign researchers which led to important scientific achievements. He will be able to pass the acquired knowledge to various research groups inside the Università di Padova even of different scientific nature.
This project allows Dr Morando to highly increase his value inside the Università di Padova and the international scientific world in general as an expert in new interdisciplinary methods and areas at the forefront of the scientific research.
Dr Morando will be able to connect different research groups at the Università di Padova coming from algebra, geometry, analysis and physics. These groups seems to be heterogeneous and slightly related at a first sight but recent advances in mirror symmetry, algebraic geometry and differential equations have deepened the interconnections between them, linking very different problems and methods in mathematics and physics. Such recent techniques and results have been developed mainly in Japan and by mathematicians of the RIMS.
source: University of Padova