<div dir="ltr"><div dir="ltr"><span style="color:rgb(0,0,0)">Dear all,</span><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)">For the <i>next appointment</i> of the series of seminars "Insalate di Matematica", <b>Lorenzo Fassina</b> (Università degli Studi di Pavia) will give a talk. </span></div><div dir="auto"><span style="color:rgb(0,0,0)">The speaker will deliver the talk <u>in presence</u> and the meeting will also be broadcasted <u>online</u> (see below for more information).</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)">Here the details:</span></div><div dir="auto"><span style="color:rgb(0,0,0)"><br></span></div><div dir="auto"><span style="color:rgb(0,0,0)"><u>Date and time</u>: <b>29th of January 2025, 4:30 pm (CET)</b></span></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Title</u>: <span style="background-color:rgb(255,229,153)">"</span></font><span style="background-color:rgb(255,229,153)">First order deformations and the Griffiths infinitesimal invariant<font color="#000000">"</font></span></div><div dir="auto"><font color="#000000"><span style="background-color:rgb(255,229,153)"><br></span></font></div><div dir="auto"><font color="#000000"><u>Abstract</u>: </font>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.</div><div dir="auto"><br></div><div dir="auto"><font color="#000000"><u>Keywords: </u></font>First order deformations, Algebraic curves, Abel-Jacobi map, Infinitesimal invariant</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><u><b>Information to attend in room 3014</b></u></div><div dir="auto">The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.</div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto"><u><b>Information to attend online<br></b></u></div><div dir="auto"><a href="https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad" target="_blank">https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad</a> (password: insalate, 46725283 from phones)<a href="https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad" target="_blank"></a></div><div dir="auto"><br></div><div dir="auto"><div dir="auto">You can find the poster of the event in the attachment. </div><div dir="auto">We are looking forward to seeing you! </div><div dir="auto"><br></div><div dir="auto"></div><div dir="auto">For further information, please visit our website: <a href="https://sites.google.com/view/insalate-di-matematica" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://sites.google.com/view/insalate-di-matematica</a> or contact us at <a href="mailto:insalate.matematica@unimib.it" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">insalate.matematica@unimib.it</a>. Find us also on our Instagram page: <a href="https://www.instagram.com/insalate_di_matematica24/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica24/</a></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><div dir="ltr"><div dir="auto"><div dir="auto"><div dir="auto"><div dir="auto"><div dir="auto"><font color="#000000">The organizers: Anna Donadini, Julian Feuerpfeil, Marco Fusari, Kirubell Haile, Paolo Malanchini, Ettore Marmo, Fabio Mastrogiacomo, Claudia Nocita, Eleonora Sforza, and Tommaso Toti.</font></div></div></div></div></div></div></div></div></div></div></div></div>
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