Arithmetic Geometry and High Energy Physics

Organizers: Gunther Cornelissen (Utrecht), Matilde Marcolli (MPIM, Bonn), Andrew Waldron (UC Davis)

Aim: Besides the traditional fields of mathematics that interact with (theoretical) physics (such as analysis, group theory and, in the past decade, algebraic geometry), recent years have seen an increasing and surprising role of arithmetic and number theory in high energy physics. Conversely, ideas from quantum field theory and string theory are beginning to have an influence on these mathematical subjects. In this workshop we intend to bring together a moderately sized group (30-50 participants) of mathematicians and physicists to present and discuss some of these recent developments.

Topics: Holography and uniformization (Kleinian groups, non-archimedean uniformization, Arakelov geometry, AdS/CFT, Liouville action, gerbes); Quantum field theory and motives (renormalization, motivic galois theory, multiple zeta values, dilogarithms); String theory and modularity (arithmetic Calabi-Yau manifolds, complex multiplication); M-theory and automorphic forms (M-theory duality and Howe duality)