{"id":930,"date":"2017-11-02T16:31:54","date_gmt":"2017-11-02T14:31:54","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=930"},"modified":"2017-11-07T14:09:01","modified_gmt":"2017-11-07T12:09:01","slug":"colloquium-monday-november-6-4-pm-speaker-john-klein-wayne-state-univ-title-variations-on-a-duet-of-kirchhoff-and-boltzmann","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=930","title":{"rendered":"Colloquium: Monday, November 6, 4 pm. Speaker: John Klein (Wayne State Univ.). Title: &#8220;Variations on a duet of Kirchhoff and Boltzmann&#8221;."},"content":{"rendered":"<p>The Kirchhoff and Boltzmann distributions date back to the nineteenth century, dealing respectively with the flow of electrical current in a circuit and with the distribution of particles in a gas. I will show how both can be derived as a solution to a pair of dual combinatorial Hodge theory problems, where the solution involves the spanning trees and vertices in graph. I will explain how algebraic topology comes in generalizing these distributions to higher dimensions. Time permitting, I will explain how the latter connects with Reidemeister torsion.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Kirchhoff and Boltzmann distributions date back to the nineteenth century, dealing respectively with the flow of electrical current in a circuit and with the distribution of particles in a gas. I will show how both can be derived as&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=930\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-930","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/930","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=930"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/930\/revisions"}],"predecessor-version":[{"id":931,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/930\/revisions\/931"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=930"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=930"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=930"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}