Surfaces which The Monge-Ampere equation $\\mathrm{det}(D^2u) = 1$ arises in prescribed curvature problems and in optimal transport. An interesting feature of the equation is that it admits singular solutions. We will discuss new examples of convex functions on $\\mathbb{R}^n$ that solve the Monge-Ampere equation away from finitely many points but contain polyhedral and $Y$-shaped singular structures. <\/p>\n\n\n\n
Along the way, we will discuss geometric and applied motivations for constructing such examples, as well as their connection to a certain obstacle problem.<\/p>\n\n\n\n
Join Zoom Meeting<\/a> <\/p>","protected":false},"excerpt":{"rendered":" Surfaces which The Monge-Ampere equation $\\mathrm{det}(D^2u) = 1$ arises in prescribed curvature problems and in optimal transport. An interesting feature of the equation is that it admits singular solutions. We will discuss new examples of convex functions on $\\mathbb{R}^n$ that solve the Monge-Ampere equation away from finitely many points but contain polyhedral and $Y$-shaped singular structures. Along the way, we will discuss<\/p>","protected":false},"author":13,"featured_media":6082,"parent":0,"template":"","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":""},"tags":[],"event_types":[26],"event_times":[],"acf":[],"featured_img":"https:\/\/aims-cameroon.org\/wp-content\/uploads\/sites\/6\/2021\/11\/Mooney1-scaled.jpg","coauthors":[],"author_meta":{"author_link":"https:\/\/aims-cameroon.org\/fr\/author\/george\/","display_name":"george"},"relative_dates":{"created":"Publi\u00e9 4 ans il y a","modified":"Mis \u00e0 jour 4 ans il y a"},"absolute_dates":{"created":"Publi\u00e9 le novembre 15, 2021","modified":"Mise \u00e0 jour le novembre 15, 2021"},"absolute_dates_time":{"created":"Publi\u00e9 le novembre 15, 2021 10:04 ","modified":"Mise \u00e0 jour le novembre 15, 2021 10:08 "},"featured_img_caption":"","tax_additional":{"post_tag":{"linked":[],"unlinked":[],"slug":"post_tag","name":"\u00c9tiquettes"},"event_types":{"linked":["Workshop<\/a>"],"unlinked":["Workshop<\/span>"],"slug":"event_types","name":"Event Type"},"event_times":{"linked":[],"unlinked":[],"slug":"event_times","name":"Event Time"}},"series_order":"","_links":{"self":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/6081"}],"collection":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event"}],"about":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/types\/event"}],"author":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/users\/13"}],"version-history":[{"count":5,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/6081\/revisions"}],"predecessor-version":[{"id":6088,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/6081\/revisions\/6088"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media\/6082"}],"wp:attachment":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media?parent=6081"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/tags?post=6081"},{"taxonomy":"event_types","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_types?post=6081"},{"taxonomy":"event_times","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_times?post=6081"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}