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Boris Shapiro: Deterministic and random crossing points in mathematical physics

Time: Tue 2024-02-13 13.15 - 14.15

Location: KTH, 3721, Lindstedsvägen 25

Participating: Boris Shapiro (Stockholm University)

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Pencils of linear operators are indispensable in perturbation theory and mathematical physics in general. Crossing points are the value of the perturbation parameter for which the corresponding linear operator has a non-simple spectrum. In my talk I give some physically motivated examples of both deterministic and random pencils of operators as well as some information about the location and distribution of their crossing points.