Time：14:00-15:00, Tuesday, April 23 2024
Venue：E4-233
Speaker：Ma Luo, East China Normal University
Title：Iterated Integrals and Relative Unipotent Completions
Abstract：Iterated integrals are natural generalizations of usual line integrals. One of their defining properties is unipotency, from which a so-called unipotent completion of fundamental group can be constructed. A major application is a motivic Galois theory developed by Francis Brown for multiple zeta values. The algebraic structures and relations between these numbers will be discussed. To explain certain relations attached to modular forms, relative unipotent completions will also be introduced, with suggestive examples to illustrate the general principle.
