ConférenceInstitut Henri Poincaré
MathématiquesConférence
Michael Hitrik: Tunneling and Weyl laws for the $\overline{\partial}$ operator on Riemann surfaces
mar29sept
29 septembre 2026 à 14:00IHP, 11 rue Pierre et Marie Curie, Paris 5e
- Organisé par
- Institut Henri Poincaré
We study the number of exponentially small singular values for the semiclassical $\overline{\partial}$ operator on exponentially weighted $L^2$ spaces on a compact Riemann surface. Accurate upper and lower bounds on the number of such singular values are established with the help of auxiliary notions of upper and lower bound weights. Assuming that the Laplacian of the exponential weight changes si
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