[Dottorcomp] Insalate di Matematica - F. Mastrogiacomo 13/05/2025

[Insalate Di Matematica]

Dear all,

For the *next appointment* of the series of seminars "Insalate di
Matematica", *Fabio Mastrogiacomo* (Università degli Studi di
Milano-Bicocca) 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*: *Tuesday* *13th of May 2025, 4:30 pm (CET) (notice the
unusual day)*

*Title*: "Bases of permutation groups"

*Abstract*: Let G be a permutation group acting on a set Ω. A base for G is
a sequence of points in Ω whose pointwise stabilizer is trivial—that is, no
non-identity element of G fixes all the points
in the sequence. In general, a permutation group may have bases of varying
sizes. This talk
will explore how these base sizes behave: do they always form an interval
of natural numbers?
Can the set of possible base sizes be arbitrarily large or sparse? We will
see that the answers
to these questions depend on two different notions of bases: minimal bases
and irredundant
bases.

*Keywords:* Permutation groups, Irredundant bases, Minimal bases.

*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-it/j.php?MTID=mdfd947ac6b242e4cb878c2f6492a3e34
(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_matematica24/

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