[Dottorcomp] Insalate di Matematica - L. Fassina 29/01/2025

[Insalate Di Matematica]

Dear all,

We remind you *today*'s appointment of the series of seminars "Insalate di
Matematica".
Here are the details:

*Speaker*: *Lorenzo Fassina* (Università degli Studi di Pavia)

*Date and time*: *29th of January 2025, 4:30 pm (CET)*

*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 in room 3014*
The seminar will take place in room 3014, at the building U5-Ratio,
Università degli Studi di Milano Bicocca.


*Information to attend online*
https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad
(password: insalate, 46725283 from phones)
<https://unimib.webex.com/unimib/j.php?MTID=m3c536ba5a33f71bb9d6a3bc9b00992ad>

For further information, please visit our website:
https://sites.google.com/view/insalate-di-matematica or contact us at
insalate.matematica a unimib.it. Find us also on our Instagram page:
https://www.instagram.com/insalate_di_matematica24/

The organizers: Anna Donadini, Julian Feuerpfeil, Marco Fusari,
Kirubell Haile, Paolo Malanchini, Ettore Marmo, Fabio Mastrogiacomo,
Claudia Nocita, Eleonora Sforza and Tommaso Toti.