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Mathematics · Source-linked note

Bourgain and Demeter: proof of the l² decoupling conjecture

Proved the l² decoupling conjecture for compact hypersurfaces with positive definite second fundamental form and for the cone, deriving the consequences stated in the article.

What is recorded here?

Proved the l² decoupling conjecture for compact hypersurfaces with positive definite second fundamental form and for the cone, deriving the consequences stated in the article.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is the exact two-author 2015 Annals of Mathematics article. The 2014 preprint, later streamlined proofs and separate decoupling or Vinogradov results remain distinct.

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People and systems

Jean Bourgain; Ciprian Demeter

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States

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English catalogue narrative

Bourgain and Demeter: proof of the l² decoupling conjecture

Proved the l² decoupling conjecture for compact hypersurfaces with positive definite second fundamental form and for the cone, deriving the consequences stated in the article.

Scientific scope

The record is the exact two-author 2015 Annals of Mathematics article. The 2014 preprint, later streamlined proofs and separate decoupling or Vinogradov results remain distinct.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Jean Bourgain; Ciprian Demeter

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources