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Alexander Grothendieck introduced schemes in 1960 with the objective of developing the formalism needed to solve deep problems of algebraic geometry, such as the Weil conjectures.

Conditions: The context is the history of algebraic geometry in the 1960s.; The motivation is tied to solving specific deep problems like the Weil conjectures.

Alexander Grothendieck introduced schemes in 1960 with the objective of developing the formalism needed to solve deep problems of algebraic geometry, such as the Weil conjectures.

Conditions: The context is the history of algebraic geometry in the 1960s.; The motivation is tied to solving specific deep problems like the Weil conjectures.