Events

In their seminal paper, Candelas, de la Ossa, Green, and Parkes discovered the appearance of the number (\chi(X)\zeta(3)) in their study of mirror symmetry for the quintic threefold. This quantity was later understood as a manifestation of the Gamma class. More recently, Candelas, de la Ossa, and van Straten, in their study of local zeta functions in the context of mirror symmetry, found an analogous quantity, (\chi(X)\zeta_p(3)), involving the (p)-adic zeta value (\zeta_p(3)). In this talk, I will discuss the motivic origin of the appearance of both (\zeta(3)) and (\zeta_p(3)) in this setting. This is joint work in progress with Michael Harris, Minhyong Kim, and Wenzhe Yang.