Nuno Arala Santos: Singular intersections of quadrics and cusp forms
Time: Fri 2024-03-22 10.00 - 10.50
Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom
Video link: Meeting ID: 921 756 1880
Participating: Nuno Aralo Santos (University of Warwick)
Abstract:
We establish an asymptotic formula for the number of common zeros of a pair of quadratic forms in at least 10 variables that determine a projective variety with exactly two singular points, defined over an imaginary quadratic field. The proof uses a form of the circle method and relies on tools from the theory of cusp forms.