Speaker: Ivan Horozov (Brandeis)
Title: Multiple zeta functions, modular forms, and iteration over the adeles
Abstract: Multiple zeta functions with values at the positive integers have an interpretation as iterated integrals due to Kontsevich. We give an interpretation of multiple zeta functions for all values greater than 1 as iterated integrals over the adeles. Iteration (in the complex plane) of modular forms was recently defined by Manin. We give an interpretation of iterated modular forms as iteration over the adeles.