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把「Notes on local groups」写成可执行的阅读路径
One of the fundamental structures in modern mathematics is that of a gro…
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把「Hilbert’s seventh problem, and powers of 2 and 3」写成可执行的阅读路径
I’ve been focusing my blog posts recently on the mathematics around Hilb…
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「The Collatz conjecture, Littlewood-Offord theory」笔记：问题从哪来、证明卡在哪
One of the most notorious problems in elementary mathematics that remain…
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把「254A, Notes 0: Hilbert’s fifth problem and relat」写成可执行的阅读路径
This fall (starting Monday, September 26), I will be teaching a graduate…
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「254A, Notes 1: Lie groups, Lie algebras, and the」笔记：问题从哪来、证明卡在哪
In this set of notes, we describe the basic analytic structure theory of…
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「254A, Notes 2: Building Lie structure from repre」：数学直觉如何落到可检验的步骤
Hilbert’s fifth problem concerns the minimal hypotheses one needs to pla…
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「The inverse function theorem for everywhere diff」：数学直觉如何落到可检验的步骤
The classical inverse function theorem reads as follows: Theorem 1 ( inv…
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把「The Brunn-Minkowski inequality for nilpotent gro」写成可执行的阅读路径
One of the fundamental inequalities in convex geometry is the Brunn-Mink…
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把「254A, Notes 3: Haar measure and the Peter-Weyl t」写成可执行的阅读路径
In the last few notes, we have been steadily reducing the amount of regu…
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读懂「254A, Notes 4: Building metrics on groups, and t」：先把定义、反例和适用范围钉死
In this set of notes we will be able to finally prove the Gleason-Yamabe…