Short talk: Block graded multiple zeta values and period polynomials of modular forms

Multiple zeta values are a class of conjecturally transcendental numbers, arising as iterated integrals on the projective plane minus three points. They are known to satisfy many algebraic relations, and describing these relations remains a substantial challenge.

By viewing multiple zeta values as motivic periods of mixed Tate motives, it is possible to encode all motivic relations in terms of Lie algebraic computations. In this talk, we will briefly introduce this formalism and explain how it can be used to describe all (motivic) relations among multiple zeta values of low degree in a certain filtration. Assuming we have time, we will also touch upon a somewhat mysterious connection to period polynomials of modular forms