[Dottorcomp] Insalate di Matematica - F. Mantovani 03/12/2025

[Insalate Di Matematica]

Dear all,

For the *next appointment* of the series of seminars "Insalate di
Matematica", *Francesco Mantovani* (Politecnico di Milano) 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*: *3rd of December 2025, 4:45 pm (CET)*

*Title*: "Introduction to hypercomplex analysis and spectral theory in
noncommutative settings"

*Abstract*: Spectral theory is a fundamental topic in analysis for its
applications to quantum mechanics and in the construction of different
functional calculi for linear operators. A quaternionic generalization of
this theory could be crucial for the quaternionic formulation of quantum
mechanics and for studying vector operators, however, the classic spectral
theory is not suitable for this noncommutative setting and finding a new
definition of spectrum is not a straightforward problem. In this talk, we
will explore the main points of classic spectral theory and, using some
tools from hypercomplex analysis, we will provide a novel notion of
spectrum applicable not only to the quaternionic case, but also to more
general noncommutative environments. Then we will discuss associated
functional calculi and illustrate the theory's utility through concrete
examples of vector operators.

*Keywords:* Spectral theory, functional calculus, hypercomplex analysis

*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.
-------------- parte successiva --------------
Un allegato non testuale è stato rimosso....
Nome:        Insalate_03_12_2025_Mantovani.pdf
Tipo:        application/pdf
Dimensione:  293703 bytes
Descrizione: non disponibile
Url:         http://ipv01.unipv.it/pipermail/dottorcomp/attachments/20251127/c1225613/attachment-0001.pdf 
-------------- parte successiva --------------
Un allegato non testuale è stato rimosso....
Nome:        Insalate di Matematica .ics
Tipo:        text/calendar
Dimensione:  2321 bytes
Descrizione: non disponibile
Url:         http://ipv01.unipv.it/pipermail/dottorcomp/attachments/20251127/c1225613/attachment-0001.ics