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Semiclassical inequalities for Dirichlet and Neumann Laplacians

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GSTW05 - Emerging Horizons in Geometric Spectral Theory: an ECRs workshop

In this talk, we consider inequalities for the Riesz means of order γ for eigenvalues of Dirichlet and Neumann Laplacians. Classical results due to Berezin, Li–Yau, and Kröger state that for γ ≥ 1, the Riesz means are bounded by their semiclassical approximation. In recent joint work with R. Frank, we show that such inequalities extend to a range of γ

This talk is part of the Isaac Newton Institute Seminar Series series.

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