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- To cheer you up in difficult times 21: Giles Gardam lecture and new result on Kaplansky's conjectures
- To cheer you up in difficult times 5: A New Elementary Proof of the Prime Number Theorem by Florian K. Richter
- What is mathematics (or at least, how it feels)
- The Argument Against Quantum Computers - A Very Short Introduction
- Extremal Combinatorics VI: The Frankl-Wilson Theorem
- Cheerful News in Difficult Times: The Abel Prize is Awarded to László Lovász and Avi Wigderson
- Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
- Yael Tauman Kalai's ICM2018 Paper, My Paper, and Cryptography
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Tag Archives: upper bound theorem
Richard Stanley: How the Proof of the Upper Bound Theorem (for spheres) was Found
The upper bound theorem asserts that among all d-dimensional polytopes with n vertices, the cyclic polytope maximizes the number of facets (and k-faces for every k). It was proved by McMullen for polytopes in 1970, and by Stanley for general triangulations … Continue reading
How the g-Conjecture Came About
Update: Slides from a great 2014 lecture on the g-conjecture by Lou Billera in the conference celebrating Richard Stanley’s 70th birthday. This post complements Eran Nevo’s first post on the -conjecture 1) Euler’s theorem Euler Euler’s famous formula for the … Continue reading