3:45PM: Elliptic K3 surfaces, ptorsion sections and wild automorphismsChristian Liedtke3 surfaces are a class of surfaces that naturally generalize the class of elliptic curves. Some of them admit maps to the projective line whose fibers are elliptic curvesthese are called elliptic fibrations. Sections of such a fibration can be multiplied using the group law on the fibers. I'll explain what happens in characteristic p when there is a section of order p^n for some n, and how this is related to Igusa curves  the characteristic p analog of modular curves. Using this we get explicit equations for such surfaces. In particular, we can check arithmetic conjectures and find beautiful connections between arithmetic and geometry.

5:00PM: TBADavid Berlekamp
