The Grothendieck Constant is Less Than $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$
Theory of Computing Report
June 3, 2026
Authors: Alan Li, Rahul Saha, Anton Xue, Adam Klivans, Pravesh K Kothari, Raghu Meka, Swarat Chaudhury
We prove that the Grothendieck constant $K_G < $\fracπ{2 \log (1+ \sqrt{2})} - 10^{-5}$. This improves on the work of braverman et. al.
Discussion in the ATmosphere