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MAFIA Seminar: Lucrezia Cosetti - Multipliers method for Spectral Theory

18.12.2018   13:15-14:15

Srdečně Vás zveme seminář MAFIA. V úterý 18. 12. 2018 v místnosti T112 (budova FJFI ČVUT v Trojanově ul. č. 13) od 13:15 hod vystoupí na tomto semináři Lucrezia Cosetti (Università di Roma Sapienza & ČVUT v Praze) s příspěvkem Multipliers method for Spectral Theory.

Abstract:
Originally arisen to understand characterizing properties connected with dispersive phenomena, in the last decades the multipliers method has been recognized as a useful tool in Spectral Theory, in particular in connections with proof of absence of point spectrum for both self-adjoint and non self-adjoint operators. Starting from recovering very well known facts about the spectrum of the boundary-free Laplacian H0 = - Δ in L2(Rd), we will see the developments of the method reviewing some recent results concerning self-adjoint and non self-adjoint perturbations of this Hamiltonian in different settings. More precisely we will show how this technique allows to detect physically natural repulsive and smallness conditions on the potentials which guarantee the absence of eigenvalues. In order to point out its versatility, we will show a further interesting application of this method when our configuration space is restricted to domains with boundary.
The seminar is based on a joint work with D. Krejcirik.

Místo konání
Budova FJFI ČVUT, Trojanova 13, Praha 2
Pořadatel
Fakulta jaderná a fyzikálně inženýrská ČVUT v Praze
Kontaktní osoba
Ing. Matěj Tušek, Ph.D., matej.tusek@fjfi.cvut.cz