{"id":3238,"date":"2022-04-15T13:10:29","date_gmt":"2022-04-15T18:10:29","guid":{"rendered":"https:\/\/sites.williams.edu\/Morgan\/?p=3238"},"modified":"2023-07-18T05:54:10","modified_gmt":"2023-07-18T10:54:10","slug":"lawlor-proves-equal-volume-triple-bubble-conjecture","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/Morgan\/2022\/04\/15\/lawlor-proves-equal-volume-triple-bubble-conjecture\/","title":{"rendered":"Lawlor proves equal-volume triple bubble conjecture."},"content":{"rendered":"<p>In a talk at Columbia University today (April 15, 2022), Gary Lawlor announced and described his proof that the standard triple soap bubble in R^3 is the least-perimeter way to enclose and separate three equal volumes.<\/p>\n<p>Update 5\/19\/22: Milman and Neeman post proof of general triple and quadruple bubble conjectures in R^n and S^n <a href=\"https:\/\/arxiv.org\/abs\/2205.09102\">https:\/\/arxiv.org\/abs\/2205.09102<\/a>. See my review at <a href=\"https:\/\/amathr.org\/milman-and-neeman\/\">https:\/\/amathr.org\/milman-and-neeman<\/a> and the beautiful <a href=\"https:\/\/www.quantamagazine.org\/monumental-math-proof-solves-triple-bubble-problem-and-more-20221006\/\">Quanta article<\/a> by Erica Klarreich.<\/p>\n<p>Update 7\/18\/23: Milman and Neeman post proof of quintuple bubble conjecture as promised <a href=\"https:\/\/arxiv.org\/abs\/2307.08164\">https:\/\/arxiv.org\/abs\/2307.08164<\/a>.<\/p>\n<p><a href=\"https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-scaled.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-3244\" src=\"https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-300x225.jpg\" alt=\"\" width=\"629\" height=\"472\" srcset=\"https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-300x225.jpg 300w, https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-1024x768.jpg 1024w, https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-768x576.jpg 768w, https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-1536x1152.jpg 1536w, https:\/\/sites.williams.edu\/Morgan\/files\/2022\/04\/IMG_4941-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 629px) 100vw, 629px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In a talk at Columbia University today (April 15, 2022), Gary Lawlor announced and described his proof that the standard triple soap bubble in R^3 is the least-perimeter way to enclose and separate three equal volumes. Update 5\/19\/22: Milman and Neeman post proof of general triple and quadruple bubble conjectures in R^n and S^n https:\/\/arxiv.org\/abs\/2205.09102. [&hellip;]<\/p>\n","protected":false},"author":269,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3238","post","type-post","status-publish","format-standard","hentry","category-articles"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/3238","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/269"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=3238"}],"version-history":[{"count":10,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/3238\/revisions"}],"predecessor-version":[{"id":3419,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/3238\/revisions\/3419"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=3238"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/categories?post=3238"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/tags?post=3238"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}