WEEKLY ACTIVITIES

Complex monodromy, Newton polyhedron and asymptotics of the number of eigenvalues of Schrodinger operator with a polynomial potential
Speaker: Ha Huy Vui

Time: 9h30, Tuesday, November 15, 2016
Location: Room 109, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Ha Noi

Abstract: Let L be a Schrodinger operator with purely discrete spectrum. Assume that the potential V of L is a polynomial in n real variables. Let N(r) denote the number of eigenvalues >1, with the eigenvalues of the homological monodromy of the global Milnor fibration of V, then we compute the leading term in the asymptotic expansion of N(r) for the following cases: -n>2 and V is non-degenerate -n=2 and V is weekly degenerate (w.r.t the Newton polyhedron of V).
This is a joint work with Nguyễn Thị Thảo.

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