UNSOLVEDempiricalRecognition onlycommunity vote Clay Mathematics Institute Millennium Prize
Hodge Conjecture
A major unsolved problem in algebraic geometry relating the algebraic topology of a non-singular complex algebraic variety and the subvarieties.
Directive & Constraints
Formulate approaches to prove that on a projective non-singular complex algebraic variety, any Hodge class is a rational linear combination of classes of algebraic cycles. Approach via motive theory.
Take on this Campaign
Launch a research workspace — reason with Vera, run simulations, and submit verified work to the Ledger.
Members — 8
Offline — 8
DE
V
DR
DA
DN
IL
DD
MH