Gæsteforelæsning - David Krejcirik, Czech Technical University, Prague og Ira Herbst, University of Virginia
30.01.2019 kl. 15.00 - 17.00
Kl. 15:00-15:50 David Krejcirik, Czech Technical University in Prague (http://nsa.fjfi.cvut.cz/david/)
Title: Absence of eigenvalues of Schrödinger operators with complex potentials
Abstract: We prove that the spectrum of Schrödinger operators in three dimensions is purely continuous and coincides with the non-negative semiaxis for all potentials satisfying a form-subordinate smallness condition. By developing the method of multipliers, we also establish the absence of point spectrum for electromagnetic Schrödinger operators in all dimensions under various alternative hypotheses, still allowing complex-valued potentials with critical singularities. This is joint work with Luca Fanelli and Luis Vega.
Kl. 16:10-17:00 Ira Herbst, University of Virginia (http://pi.math.virginia.edu/Faculty/Herbst/)
Title: The Howland - Kato Commutator Problem
Abstract: I will discuss the following question: Suppose f and g are real bounded measurable functions with the property that i[f(P), g(Q)] is a non-negative operator. Here P = −id/dx and Q is multiplication by x in L2(R). What can be said about f and g? This is joint work with Tom Kriete.
Institut for Matematiske Fag
Skjernvej 4A, rum 5.034