{"id":4687,"date":"2022-05-04T10:06:35","date_gmt":"2022-05-04T08:06:35","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/curvature-varifolds-and-biological-membranes-katharina-brazda-university-of-vienna\/"},"modified":"2022-05-04T10:06:35","modified_gmt":"2022-05-04T08:06:35","slug":"curvature-varifolds-and-biological-membranes-katharina-brazda-university-of-vienna","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/curvature-varifolds-and-biological-membranes-katharina-brazda-university-of-vienna\/","title":{"rendered":"Curvature varifolds and biological membranes &#8211; Katharina Brazda (University of Vienna)"},"content":{"rendered":"<h4 class='mt-4'>Abstract<\/h4>\n<p>The seminar will be online only. The link is available at: https:\/\/seminarimap.wixsite.com\/seminarimap\/2021-2022\/katharina-brazda  ABSTRACT: Varifolds are measures that describe generalized surfaces in geometric measure theory. Due to their compactness properties, varifolds provide a favorable framework to study geometric variational problems with the Direct Method. An example of a geometric energy functional that also involves curvature is the Canham-Helfrich energy. Its minimizers model the equilibrium configurations of biological membranes, like the famous biconcave shape of human red blood cells. After a gentle introduction to the theory of curvature varifolds, I present an existence result for multiphase membranes, that I obtained in collaboration with Luca Lussardi (Torino) and Ulisse Stefanelli (Vienna). <\/p>\n","protected":false},"excerpt":{"rendered":"<p>The seminar will be online only. The link is available at: https:\/\/seminarimap.wixsite.com\/seminarimap\/2021-2022\/katharina-brazda ABSTRACT: Varifolds are measures that describe generalized surfaces in geometric measure theory. Due to their&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/curvature-varifolds-and-biological-membranes-katharina-brazda-university-of-vienna\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4687","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1638455400,"unipievents_enddate":1638460800,"unipievents_place":"","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4687","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4687\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4687"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4687"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}