[Dottorcomp] Insalate di matematica - F. Mantovani 04/02/2026

[Insalate Di Matematica]

Dear all,

We remind you *today*'s appointment of the series of seminars "Insalate di
Matematica".
Here are the details:

*Speaker*: *Francesco Mantovani* (Politecnico di Milano)

*Date and time*: *4th of February 2026, 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 *U9-11.*


*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=m3c536ba5a33f71bb9d6a3bc9b00992ad>

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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