Algebraic GeometryAlgebraic geometry -- Cycles and subschemes -- (Equivariant) Chow groups and rings; motivesAlgebraic number theoryCongressesFeynman integralsHodge theoryMathematical physicsMotives (Mathematics)Number theory -- Algebraic number theory: local and $p$-adic fields -- Ramification and extension theoryPhysicsQuantum field theoryQuantum theory -- General mathematical topics and methods in quantum theory -- Feynman integrals and graphs; applications of algebraic topology and algebraic geometry