[Dottorcomp] Insalate di Matematica - G. Petracci 19/11/2025

[Insalate Di Matematica]

Dear all,

For the *next appointment* of the series of seminars "Insalate di
Matematica", *Giorgia Petracci* (Università degli Studi dell'Insubria) will
give a talk.
The speaker will deliver the talk *in presence* and the meeting will also
be broadcasted *online* (see below for more information).

Here the details:

*Date and time*: *19th of November 2025, 4:45 pm (CET)*

*Title*: "Purely coclosed G₂-structures on nilmanifolds"

*Abstract*: A G₂-structure on a 7-dimensional manifold M is equivalent to
the existence of a globally defined positive 3-form. This form determines
an orientation and a Riemannian metric on M. Given an orientation and a
Riemannian metric, one can define an isomorphism between the spaces of
3-forms and 4-forms on M, called the Hodge operator. Thanks to the Hodge
operator, one can define purely coclosed G₂-structures. We study
left-invariant G₂-structures on nilmanifolds, which are compact quotients
of connected, simply connected nilpotent Lie groups by a lattice.

*Keywords:* G₂-structures, Principal bundles, Nilmanifolds, Lie groups,
Differential forms.

*Information to attend in person*
The seminar will take place at the building U9-Koinè, Università degli
Studi di Milano Bicocca; room U9-09.


*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=m101728a0c0258813b6aa97783fb11fad>

You can find the poster of the event in the attachment.
We are looking forward to seeing you!

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.matematica/
<https://www.instagram.com/insalate_di_matematica24/>

The organizers: Jessica Anzanello, Anna Donadini, Julian Feuerpfeil,
Kirubell Haile, Salvatore Lincastri, Paolo Malanchini, Marialetizia
Mosconi, Claudia Nocita, Eleonora Sforza, Filippo Valnegri.
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