Mirror symmetry and K3 surface zeta functions.

Ursula Whitcher (University of Wisconsin Eau Claire)

Mirror symmetry predicts surprising geometric correspondences between distinct families of algebraic varieties. In some cases, these correspondences have arithmetic consequences. For example, we can use mirror symmetry to explore the structure of the zeta function, which encapsulates information about the number of points on a variety over a finite field. We use Berglund-Huebsch-Krawitz mirror symmetry to make and test predictions about the zeta functions of certain K3 surfaces described by quartic polynomials.

Tuesday, February 16th, at 4:00pm in HBH 227

Return to talks from Spring 2016