Geometric Flows and Geometric Operators
timetable:
Fri 12 Jun, 10:15 - 11:15, Aula Bianchi Scienze
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seminar: Growth of spectral radius and index estimates for Schrodinger operators on complete Riemannian manifolds
speaker: Luciano Mari (Università di Torino)abstract: I would like to discuss a recent paper written in collaboration with B. Bianchini and M. Rigoli, in which we derive sharp estimates both for the growth of the bottom of the spectrum of the Laplacian, and for the index growth of (stationary) Schrodinger operators. Both these results are achieved through a new technique which allows a careful control of the oscillation of an ordinary differential equations naturally appearing when using radicalization techniques. Time permitting, I would like to discuss some applications of pure geometric flavour.
timetable:
Fri 12 Jun, 10:15 - 11:15, Aula Bianchi Scienze
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