Teaching

Type:	Time:	Place:	Start:
SE 2 std.	Wed 9:45-11:15	SR11	4.10

The main topic of the seminar will be spectral theory for unbounded/non-self-adjoint operators. These problems arise in the study of nonlinear problems, in particular nonlinear wave equations. More specifically we want to cover Fredholm theory, essential spectra, and stability of essential spectra for these operators.

Date:	Title:	Speaker:	References:
18.10	Closed operators 1	Jakob Möller	[Kato] 3.5
08.11	Closed operators 2	Jakob Möller	[Kato] 3.5
15.11	Resolvents and spectra 1	Noema Nicolussi	[Kato] 3.6
22.11	Resolvents and spectra 2	Noema Nicolussi	[Kato] 3.6
29.11	Resolvents and spectra 3	Ziping Rao	[Kato] 3.6
06.12	Resolvents and spectra 4	Ziping Rao	[Kato] 3.6
13.12	Stability of closedness and bounded invertibility 1	Peter Boder	[Kato] 4.1
24.01	Stability of closedness and bounded invertibility 2	Peter Boder	[Kato] 4.1
31.01	Stability of the essential spectrum	Noema Nicolussi	[Kato] 4.5

References:

1. T. Kato, Perturbation Theory for Linear Operators, Springer, 1995

Preparation and presentation of a chosen topic. Active participation during the seminar.

Majors in Mathematics (master program, code MANS), Physics, ...