Noncommutative Geometry Seminar

Using the coherent state transform I willI 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. This is joint work with A. Laptev and L. A. Takhtajan.