Simons Collaboration Lecture
Friday, February 02, 2018 at 4:00pm
Speaker: John Voight (Dartmouth College)
Title: Modularity of K3 surfaces: explicit methods and computational questions
Abstract: The Langlands program predicts a deep connection between geometry and automorphic forms, encoded in their associated $L$-functions and Galois representations. For elliptic curves, this connection is summarized by the bijection between isogeny classes of elliptic curves over the rationals and classical newforms of weight 2 with rational Fourier expansion. In this talk, we discuss the predictions of Langlands for K3 surfaces, presenting some examples, open problems, and computational challenges.
This event is associated with the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation.