6 papers
The motivic Lie algebra embeds into the cohomology of the general linear group
Francis Brown, Erik Panzer, Jean-Luc Portner
We show that the motivic Lie algebra of mixed Tate motives over embeds canonically into the unstable compactly-supported cohomology of locally symmetric spaces for $\m…
Single-valued periods of meromorphic modular forms and a motivic interpretation of the Gross-Zagier conjecture
Francis Brown, Tiago J. Fonseca
A well-known conjecture of Gross and Zagier states that the values of the higher automorphic Green's function at pairs of points with complex multiplication in the upper half-plane…
Positive geometries and canonical forms via mixed Hodge theory
Francis Brown, Clément Dupont
''Positive geometries'' are a class of semi-algebraic domains which admit a unique ''canonical form'': a logarithmic form whose residues match the boundary structure of the domain.…
Unstable cohomology of and the odd commutative graph complex
Francis Brown, Simone Hu, Erik Panzer
We study a closed differential form on the symmetric space of positive definite matrices, which is defined using the Pfaffian and is invariant up to…
Hopf algebras in the cohomology of , , and
Francis Brown, Melody Chan, Søren Galatius +1
We describe a bigraded cocommutative Hopf algebra structure on the weight zero compactly supported rational cohomology of the moduli space of principally polarized abelian varietie…
The wheel classes in the locally finite homology of , canonical integrals and zeta values
Francis Brown, Oliver Schnetz
We compute the canonical integrals associated to wheel graphs, and prove that they are proportional to odd zeta values. From this we deduce that wheel classes define explicit non-z…