Next Spiedini Seminar
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Federico Thiella
Apr 29, 2026, 3:30:51 AMApr 29
to Dimai Dottorandi, spiedini-se...@unifi.it, Andrea Colesanti, Matteo Calosci
English version below
Buongiorno a tutti,
Il prossimo seminario di S.P.I.E.Dini sarà tenuto da Francesco Iacca (Università di Firenze)
📅 Data e ora: Mercoledì 6 Maggio 2026 - Aula Tricerri
Titolo: Representation Theory behind integrable systems
Abstract: A dynamical system is called integrable if the equations describing it admit enough conserved quantities. By Noether's theorem, conserved quantities correspond to symmetries, and this fact suggests that a fruitful way to analyze an integrable system is to use methods from geometry and representation theory, rather than analytical or numerical ones.
We will focus on KdV equation (and some generalisations of it), which is an infinite-dimensional integrable systems, hence requiring infinite-dimensional lie algebras. We will see that the lie algebra describing KdV has two important irreducible representations, and a surprising isomorphism between them (boson-fermion correspondence) allows us to simplify the KdV equation.
If time permits, we can briefly discuss connections with related topics such as geometry, algebraic curves, (pseudo) differential operators, and others.
Per tenervi aggiornati sui prossimi seminari consultate il nostro sito e iscrivetevi alla nostra mailing list spiedini-seminar...@unifi.it
Chiunque sia interessato a esporre il proprio lavoro o abbia suggerimenti non esiti ad inviarci un’email a federico...@unifi.it matteo....@unifi.it
Vi aspettiamo,
A presto,
Federico e Matteo
————————————————————————————————————
Good morning everyone,
The next S.P.I.E.Dini seminar will be held by Francesco Iacca (University of Florence)
📅 Date and time: Wednesday, May 6th, 2026 - Tricerri Room
Title: Representation Theory behind integrable systems
Abstract: A dynamical system is called integrable if the equations describing it admit enough conserved quantities. By Noether's theorem, conserved quantities correspond to symmetries, and this fact suggests that a fruitful way to analyze an integrable system is to use methods from geometry and representation theory, rather than analytical or numerical ones.
We will focus on KdV equation (and some generalisations of it), which is an infinite-dimensional integrable systems, hence requiring infinite-dimensional lie algebras. We will see that the lie algebra describing KdV has two important irreducible representations, and a surprising isomorphism between them (boson-fermion correspondence) allows us to simplify the KdV equation.
If time permits, we can briefly discuss connections with related topics such as geometry, algebraic curves, (pseudo) differential operators, and others.
To stay updated on upcoming seminars, please visit our website and subscribe our mailing list spiedini-seminar...@unifi.it
Anyone interested in presenting their work or having suggestions is welcome to email us at federico...@unifi.it matteo....@unifi.it
We look forward to seeing you,
See you soon,
Federico and Matteo
Buongiorno a tutti,
Il prossimo seminario di S.P.I.E.Dini sarà tenuto da Francesco Iacca (Università di Firenze)
📅 Data e ora: Mercoledì 6 Maggio 2026 - Aula Tricerri
Titolo: Representation Theory behind integrable systems
Abstract: A dynamical system is called integrable if the equations describing it admit enough conserved quantities. By Noether's theorem, conserved quantities correspond to symmetries, and this fact suggests that a fruitful way to analyze an integrable system is to use methods from geometry and representation theory, rather than analytical or numerical ones.
We will focus on KdV equation (and some generalisations of it), which is an infinite-dimensional integrable systems, hence requiring infinite-dimensional lie algebras. We will see that the lie algebra describing KdV has two important irreducible representations, and a surprising isomorphism between them (boson-fermion correspondence) allows us to simplify the KdV equation.
If time permits, we can briefly discuss connections with related topics such as geometry, algebraic curves, (pseudo) differential operators, and others.
Chiunque sia interessato a esporre il proprio lavoro o abbia suggerimenti non esiti ad inviarci un’email a federico...@unifi.it matteo....@unifi.it
Vi aspettiamo,
A presto,
Federico e Matteo
————————————————————————————————————
Good morning everyone,
The next S.P.I.E.Dini seminar will be held by Francesco Iacca (University of Florence)
📅 Date and time: Wednesday, May 6th, 2026 - Tricerri Room
Title: Representation Theory behind integrable systems
Abstract: A dynamical system is called integrable if the equations describing it admit enough conserved quantities. By Noether's theorem, conserved quantities correspond to symmetries, and this fact suggests that a fruitful way to analyze an integrable system is to use methods from geometry and representation theory, rather than analytical or numerical ones.
If time permits, we can briefly discuss connections with related topics such as geometry, algebraic curves, (pseudo) differential operators, and others.
To stay updated on upcoming seminars, please visit our website and subscribe our mailing list spiedini-seminar...@unifi.it
Anyone interested in presenting their work or having suggestions is welcome to email us at federico...@unifi.it matteo....@unifi.it
We look forward to seeing you,
See you soon,
Federico and Matteo
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