AI 中文总结
本文给出了高维几何中KLS猜想的证明，关键利用Song和Zhang关于倾斜平均高阶导数的准则。
AI 中文摘要
与Bourgain切片问题和方差猜想一起，Kannan-Lovász-Simonovits（KLS）猜想近年来一直是高维几何数学发展的驱动力。我们在此给出该猜想的证明。证明中的关键步骤是Song和Zhang最近提出的涉及倾斜平均高阶导数的准则。
英文摘要
Together with Bourgain's slicing problem and the variance conjecture, the Kannan-Lovász-Simonovits (KLS) conjecture has been a driving force for mathematical developments in high dimensional geometry in recent decades. We present here a proof of this conjecture. The crucial step in the proof is the very recent criterion from Song and Zhang involving high-order derivatives of tilt averages.
Comments32 pages, contains a paragraph describing AI use
