[Dottorcomp] Insalate di Matematica - J. Feuerpfeil 25/03/2026

[Insalate Di Matematica]

Dear all,

For the *next appointment* of the series of seminars "Insalate di
Matematica", *Julian **Feuerpfeil*  (University of Milano-Bico) 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*: *25th of March 2026, 4:45 pm (CET)*

*Title*: "Why Class Groups Matter: From Fermat’s Last Theorem to Modern
Arithmetic"

*Abstract*: One of the most famous equations in mathematical history is:
Xⁿ+Yⁿ=Zⁿ
Does it have nontrivial integer solutions for n>2? In 1637, Pierre de Fermat
famously claimed—without proof—that it does not. About 200 years later
Kummer
approached this problem by introducing class groups, which are finite
abelian groups
attached to number fields measuring their arithmetic complexity.
In this talk, we begin with this classical story and then turn to more
modern
developments, focusing on Iwasawa theory, where one studies how class groups
behave in infinite towers of number fields.
If time permits, we will also discuss recent results on a Hilbert 90–type
property for
generalized class groups and its connection to an open conjecture in
Iwasawa theory.
There is a marvelous Fermat joke,
but this abstract is too small to contain it — join the talk to find out
more.

*Keywords:* Class groups, Fermat's last theorem, Iwasawa theory, Hilbert 90

*Information to attend in person*
The seminar will take place at the building U9-Koinè, Università degli
Studi di Milano Bicocca; room U9-13.


*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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