<div dir="ltr">Dear all,<div dir="auto"><br></div><div dir="auto">We remind you <b>today</b>'s<b> </b>appointment of the series of seminars "Insalate di Matematica".</div><div dir="auto">Here are the details:</div><div dir="auto"><br></div><div dir="auto"><u>Speaker</u>: <i>Simone Billi</i> (Università degli Studi di Genova)<br></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><span style="color:rgb(0,0,0)"><u>Date and time</u>: <b>28th of February 2024, 4:30 pm (CET)</b></span></div></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)">Integral lattices and cubic fourfolds with prime-order non-symplectic automorphisms</span><font color="#000000"><span style="background-color:rgb(255,229,153)">"</span></font></div><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Abstract</u>:</font> Much information about the geometry of a cubic fourfold Y is encoded in
the Hodge decomposition of cohomology group H^4(Y, C). The integral
cohomology H^4(Y, Z) endowed with the Poincaré pairing forms an integral
lattice, the Torelli theorem asserts that the sublattice of algebraic
classes uniquely determines the cubic. In a work in progress with A.
Grossi, we compute the algebraic lattice of a general cubic fourfold
with a non-symplectic automorphism of order 3. This allows us to
formulate geometrical considerations and deduce the rationality of the
cubic in some cases</div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000"><u>Keywords:</u></font> Integral lattices, cubic fourfold, automorphisms <br></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"><div dir="auto"><a href="https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad">https://unimib.webex.com/unimib/j.php?MTID=m101728a0c0258813b6aa97783fb11fad</a> (password: insalate, 46725283 from phones)</div><a href="https://unimib.webex.com/unimib/j.php?MTID=m3c536ba5a33f71bb9d6a3bc9b00992ad" target="_blank"></a></div><div dir="auto"><div id="m_-2869867176138101953m_-4439392858642327092m_5555831848437307896gmail-:183" style="direction:ltr;margin:8px 0px 0px;padding:0px;font-size:0.875rem;font-family:"Google Sans",Roboto,RobotoDraft,Helvetica,Arial,sans-serif"><div id="m_-2869867176138101953m_-4439392858642327092m_5555831848437307896gmail-:17t" style="font-variant-numeric:normal;font-variant-east-asian:normal;font-variant-alternates:normal;font-kerning:auto;font-feature-settings:normal;font-stretch:normal;font-size:small;line-height:1.5;font-family:Arial,Helvetica,sans-serif;overflow:hidden"><div dir="ltr"><div dir="auto"><div dir="auto"><div dir="auto"><div dir="auto"><br></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_matematica22/" rel="noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer noreferrer" target="_blank">https://www.instagram.com/insalate_di_matematica23/</a></div><div dir="auto"><br></div><div dir="auto"><div dir="auto"><font color="#000000">The organizers: Ettore Marmo, Simone Gallivanone, Fabio Mastrogiacomo, Marco Fusari, Tommaso Toti and Matteo Tarocchi.</font></div></div></div></div></div></div><div></div><div></div><div><br><br></div></div></div></div></div></div></div></div>