Yves Andre has proved the direct summand conjecture, using perfectoid methods.

**Update (Sept. 7): **Andre’s paper is here, and Bhatt’s shorter proof is here.

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# Tag: shameless rumor-mongering

## Rumor of the week

Yves Andre has proved the direct summand conjecture, using perfectoid methods.

**Update (Sept. 7): **Andre’s paper is here, and Bhatt’s shorter proof is here.

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