Wednesday 29 January 2025 at 4:30 pm (CET), as part of the Insalate di Matematica seminar cycle, Lorenzo Fassina (University of Pavia) will talk about
Title: First order deformations and the Griffiths infinitesimal invariant
Abstract: The theory of deformations of complex structures plays an important role in algebraic geometry, whose central problem is the local study of families of complex manifolds. This study of families is useful for example in moduli space theory, where it can give information about the local structure of a moduli space at a fixed point. Within this framework, we will give a general picture of what a first order deformation is, explaining the correspondence given by the Kodaira-Spencer map. Then, we will focus on families of algebraic curves and the associated Jacobian fibration. Precisely, we will see the construction of the infinitesimal invariant defined by Griffiths; a powerful tool that allows to measure the infinitesimal variation of the Abel-Jacobi map. Finally, through an explicit result, we will highlight its properties, and we will discuss the Griffiths' formula for its computation.
Keywords: First order deformations, Algebraic curves, Abel-Jacobi map, Infinitesimal invariant
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online from this link (password: insalate, 46725283 from phones)
For more information, visit the website