{"id":5731,"date":"2021-02-05T00:30:15","date_gmt":"2021-02-05T05:30:15","guid":{"rendered":"http:\/\/blogs.ams.org\/blogonmathblogs\/?p=5731"},"modified":"2021-02-05T00:30:15","modified_gmt":"2021-02-05T05:30:15","slug":"combinatorics-and-more-a-tour","status":"publish","type":"post","link":"https:\/\/blogs.ams.org\/blogonmathblogs\/2021\/02\/05\/combinatorics-and-more-a-tour\/","title":{"rendered":"“Combinatorics and more”: A Tour"},"content":{"rendered":"

Gil Kalai<\/a> writes the “Combinatorics and more”<\/a> blog. I find many of his posts on the blog to be detailed and nicely structured. Here are just a few of the recent ones I enjoyed.<\/p>\n

“Possible future Polymath projects (2009, 2021)”<\/a><\/p>\n

I always think it’s interesting to explore which big research questions attract a lot of interest. For those who aren’t familiar with polymath projects, this post describes what they are and gives updates on potential polymath projects that Tim Gowers suggested on his blog<\/a> in 2009. Kalai also suggests some possible future directions for polymath projects and asks “meta questions,” such as “What is the ideal platform for a polymath project?” and, my personal favorite, “Are polymath projects inviting in terms of diversity of participants?”<\/p>\n

The “To cheer you up in difficult times” posts<\/p>\n

So far, Kalai has created 19 “To cheer you up in difficult times” posts, including this one<\/a> about a proof of the Erd\u0151s-Faber-Lov\u00e1sz conjecture <\/a>uploaded to arXiv by Dong Yeap Kang, Tom Kelly, Daniela K\u00fchn, Abhishek Methuku, and Deryk Osthus and
\n“To cheer you up in difficult times 13: Triangulating real projective spaces with subexponentially many vertices”\u00a0<\/a>about another new paper posted to arXiv by Karim Adiprasito, Sergey Avvakumov, and Roman Karasev.<\/p>\n

“Quantum Matters”<\/a><\/p>\n

This post is replete with interesting bits of information about recent papers, videos from some of Kalai’s lectures and even “a\u00a0small taste of quantum poetry for the skeptics.”<\/p>\n

Besides all of the interesting posts by Kalai, there are also a bunch of guest posts worth checking out. Here are just a few:<\/p>\n

“Dan Romik on the Riemann zeta function”<\/a><\/p>\n

“Recently when I was thinking about the Riemann zeta function, I had the double thrill of discovering some new results about it, and then later finding out that my new ideas were closely related to some very classical ideas due to two icons of twentieth-century mathematics, George P\u00f3lya and P\u00e1l Tur\u00e1n,” Romik wrote in the beginning of the piece.<\/p>\n

“Imre B\u00e1r\u00e1ny: Limit shape<\/a>“<\/p>\n

In this post, B\u00e1r\u00e1ny explains limit shapes and the limit shape theorem, limit shapes for polygons in convex bodies and more.<\/p>\n

Want to share ideas or feedback? Reach out in the comments or on Twitter (@writesRCrowell<\/a>)<\/em>.<\/p>\n

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Gil Kalai writes the “Combinatorics and more” blog. I find many of his posts on the blog to be detailed and nicely structured. Here are just a few of the recent ones I enjoyed. “Possible future Polymath projects (2009, 2021)” … Continue reading →<\/span><\/a><\/p>\n

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