Asymptotics of the eigenvalues of operators for mirror curves

Asymptotics of the eigenvalues of operators for mirror curves

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Lukas W. Schimmer, Princeton University
Jadwin Hall 343

Using the coherent state transform I will establish the asymptotical behaviour of the Riesz mean for functional-difference operators associated to mirror curves of special del Pezzo Calabi-Yau threefolds. Furthermore, I will prove the Weyl law for the eigenvalue counting function of these operators, therefore implying that their inverses are trace class.  Joint work with A. Laptev and L. A. Takhtajan.