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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2 thoughts on “Rumor of the week”

  1. I heard that Gabber has doubts about the proof being correct ? On this subject have you heard anything new about Mochizuki’s paper being accepted ?

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