{"id":3139,"date":"2026-03-11T17:07:48","date_gmt":"2026-03-11T15:07:48","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=3139"},"modified":"2026-03-19T10:55:17","modified_gmt":"2026-03-19T08:55:17","slug":"u-haifa-topology-geometry-seminar-wednesday-march-11-2026-1300-speaker-william-balderrama-bonn-title-realization-spaces-and-categorified-square-zero-deformation-theory","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=3139","title":{"rendered":"U. Haifa Topology &amp; Geometry seminar: Wednesday, March 11, 2026, 13:00. Speaker: William Balderrama (Bonn). Title: &#8220;Realization spaces and categorified square-zero deformation theory&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A fundamental class of problems in algebraic topology are the realization problems: when is a given algebraic object realizable as an algebraic invariant of a space? For example, one might ask when a module over the Steenrod algebra arises as the mod p cohomology of a space. Insight from work of Dwyer-Kan, Blanc-Dwyer-Goerss, and others tells us that these problems can be fruitfully studied by constructing a moduli space of all possible realizations, then considering the various ways that this moduli space decomposes into simpler pieces. I will describe joint work with Piotr Pstr\u00b8agowski on a new higher categorical perspective which extends these decomposition theorems.<br><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Recording:<br><a href=\"https:\/\/us02web.zoom.us\/rec\/share\/Ly2NvfAADO5lFa13TilTeMo3ox9AKJ-c0C6CTLf91wUb5db5bROsasATc7v1UgFz.lHJHhPIzPIH-LMZv\">https:\/\/us02web.zoom.us\/rec\/share\/Ly2NvfAADO5lFa13TilTeMo3ox9AKJ-c0C6CTLf91wUb5db5bROsasATc7v1UgFz.lHJHhPIzPIH-LMZv<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A fundamental class of problems in algebraic topology are the realization problems: when is a given algebraic object realizable as an algebraic invariant of a space? For example, one might ask when a module over the Steenrod algebra arises as&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=3139\">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":[6,4],"tags":[],"class_list":["post-3139","post","type-post","status-publish","format-standard","hentry","category-gt-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/3139","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=3139"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/3139\/revisions"}],"predecessor-version":[{"id":3140,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/3139\/revisions\/3140"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3139"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3139"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3139"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}