{"id":1815,"date":"2022-04-24T09:29:12","date_gmt":"2022-04-24T07:29:12","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/tba-luca-schaffler-roma-3\/"},"modified":"2022-04-29T10:07:22","modified_gmt":"2022-04-29T08:07:22","slug":"tba-luca-schaffler-roma-3","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-luca-schaffler-roma-3\/","title":{"rendered":"Boundary divisors in the stable pair compactification of the moduli space of Horikawa surfaces &#8211; Luca Schaffler (Roma 3)"},"content":{"rendered":"<h4>Venue<\/h4>\n<p>Dipartimento di Matematica, Aula Magna.<\/p>\n<h4 class='mt-4'>Abstract<\/h4>\n<div><span><span style=\"color:black\"><span><span style=\"color:black\"><span style=\"color:black\"><span><span>Smooth minimal surfaces of general type with $K^2=1$, $p_g=2$, and $q=0$ constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli space $M$ of their canonical models admits a geometric and modular compactification $\\overline{M}$ by stable surfaces. Franciosi-Pardini-Rollenske classified the Gorenstein stable degenerations parametrized by it, and jointly with Rana they determined boundary divisors parametrizing irreducible stable surfaces with a unique T-singularity. In this talk, we continue with the investigation of the boundary of $\\overline{M}$ constructing eight new irreducible boundary divisors parametrizing reducible surfaces. Additionally, we study the relation with the GIT compactification of $M$ and the Hodge theory of the degenerate surfaces that the eight divisors parametrize. This is joint work in progress with Patricio Gallardo, Gregory Pearlstein, and Zheng Zhang.<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div>&nbsp;<\/div>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/71\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Smooth minimal surfaces of general type with $K^2=1$, $p_g=2$, and $q=0$ constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli space $M$ of their canonical models admits a geometric and modular&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/tba-luca-schaffler-roma-3\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-1815","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1651674600,"unipievents_enddate":1651678200,"unipievents_place":"Dipartimento di Matematica, Aula Magna.","unipievents_externalid":71,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1815","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":3,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1815\/revisions"}],"predecessor-version":[{"id":1986,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1815\/revisions\/1986"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=1815"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=1815"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=1815"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}