Seminar: Two Tales on M_{0,5} and M_{0,6}
Speaker: John Alexander Cruz Morales, Universidad National de Colombia
Abstract: I will tell two stories where (the compactification of) moduli spaces M_{0,5} and M_{0,6} appear in a significant way. One is related to the volume preserving birational maps of P^2 and P^3 . The other one is related to the irrationality proofs for \zeta(2) and \zeta(3). Both stories are related to each other via mirror symmetry for the del Pezzo surface of degree 5 and the Fano 3-fold V_{12}. However, I will speculate that the relations between these two stories might be subtler using the group structure for \zeta(2) and \zeta(3) studied by Rhin and Viola. This is based on (old) work with Sergey Galkin and work in progress with Eduardo Alves and Motohico Mulase.
Host: Matt Kerr