{"id":1279,"date":"2019-04-24T08:49:29","date_gmt":"2019-04-24T08:49:29","guid":{"rendered":"http:\/\/geometry.ma.ic.ac.uk\/seminar\/?page_id=1279"},"modified":"2021-09-16T16:42:46","modified_gmt":"2021-09-16T16:42:46","slug":"summer-term-2019","status":"publish","type":"page","link":"http:\/\/coates.ma.ic.ac.uk\/seminar\/?page_id=1279","title":{"rendered":"Summer Term 2019"},"content":{"rendered":"<p><em>Please note that the room of the seminar will change throughout the term. <\/em><\/p>\n<p><em>Vaibhav Gadre  (University of Glasgow). <\/em><strong>Cusp excursions of random Teichmulller geodesics.<\/strong> Friday 3rd May, 1:30-2:30pm. Huxley 308.<\/p>\n<p><strong> Abstract: <\/strong> Dynamics on moduli spaces of Riemann surfaces is often studied by considering analogies with homogeneous dynamics. The talk will begin with a short survey of moduli spaces from this point of view. It will then focus on random geodesics on moduli spaces as a specific context for considering these analogies. <\/p>\n<p><em>Pierrick Bousseau  (ETH Zurich). <\/em><strong>A relative holomorphic anomaly equation.<\/strong> Friday 10th May, 1:30-2:30pm. Huxley 308.<\/p>\n<p><strong> Abstract: <\/strong> The holomorphic anomaly equation is some recursive relation conjecturally satisfied by higher genus Gromov-Witten invariants of Calabi-Yau 3-folds. I will start reviewing the case of the local projective plane, for which this result is known. The main point of the talk will be to present a new conjectural holomorphic anomaly equation for some family of relative Gromov-Witten invariants related to the projective plane, and a proof in genus one. This is work in progress, joint with Longting Wu. <\/p>\n<p><em>Nikolaos Tziolas (University of Cyprus). <\/em><strong> Vector fields and moduli of canonically polarized surfaces in  positive characteristic.<\/strong> Friday 17th May, 1:30-2:30pm. Huxley 139.<\/p>\n<p><strong> Abstract: <\/strong> The purpose of this talk is to present some results about the geometry of smooth canonically polarized surfaces defined over a field of positive characteristic which have a nontrivial global vector field, equivalently non reduced automorphism scheme, and the implications that the existence of such surfaces has in the moduli problem of canonically polarized surfaces.<\/p>\n<p><em>Ed Segal (UCL). <\/em><strong>Mirrors to punctured surfaces.<\/strong> Friday 24th May, 1:30-2:30pm. Huxley 144.<\/p>\n<p><strong> Abstract: <\/strong> There are various known ways to construct a category which is mirror to the Fukaya category of a punctured surface. I&#8217;ll discuss some work-in-progress (with Yanki Lekili) where we find algebro-geometric proofs that all the constructions give equivalent categories.<\/p>\n<p>No seminar on Friday 31st May due to this <a href=\"http:\/\/www.imperial.ac.uk\/abraham-de-moivre\/seminars-and-events\/UMI-workshop-2019\/\">event<\/a>.<\/p>\n<p><em>Andreas Krug (University of Marburg). <\/em><strong>Stability of Tautological Bundles on Symmetric Products of Curves.<\/strong> Friday 7th June, 1:30-2:30pm. Huxley 144.<\/p>\n<p><strong> Abstract: <\/strong> Given a vector bundle E over smooth variety X, there is a natural way to associate a vector bundle, called tautological bundle, on the Hilbert scheme of points on X. In this talk, we will discuss stability of tautological bundles in the case that X is a curve.<\/p>\n<p><em> Vera V\u00e9rtesi (University of Strasbourg). <\/em><strong>Additivity of the minimal genus for tight contact structures.<\/strong> Friday 14th June, 1:30-2:30pm. Huxley 144.<\/p>\n<p><strong> Abstract: <\/strong> A corollary of Haken\u2019s Lemma from 1968 gives that the minimal genus of Heegaard splittings of 3-manifolds is additive under connected sum. In this talk I generalise this result for contact 3-manifolds. As a consequence of Giroux&#8217;s 2002 paper about open book decompositions, contact 3-manifolds have contact Heegaard splittings i.e. contact 3-manifolds decompose as the union of two contact handlebodies. After the basics of contact geometry I describe the main idea of the proof, that the minimal genus for contact Heegaard splittings of tight contact structures is additive under connected sum.<\/p>\n<p><em>Hamid Ahmadinezhad (Loughborough University). <\/em><strong>Two decades on birational rigidity of del Pezzo fibration.<\/strong> Friday 21st June, 1:30-2:30pm. Huxley 144.<\/p>\n<p><strong> Abstract: <\/strong>  Birational rigidity of Mori fibre spaces is a central problem in post MMP birational classification. In this talk, I will focus on 3-fold Mori fibre spaces with fibre dimension two, the so-called del Pezzo fibrations. I will discuss the importance of the problem and give an overview of the central results, with some recent progress.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Please note that the room of the seminar will change throughout the term. Vaibhav Gadre (University of Glasgow). Cusp excursions of random Teichmulller geodesics. Friday 3rd May, 1:30-2:30pm. Huxley 308. Abstract: Dynamics on moduli spaces of Riemann surfaces is often studied by considering analogies with homogeneous dynamics. The talk will begin with a short survey &#8230;<\/p>\n<p><a href=\"http:\/\/coates.ma.ic.ac.uk\/seminar\/?page_id=1279\" class=\"more-link\">Continue reading &lsquo;Summer Term 2019&rsquo; &raquo;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":14,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1279","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=\/wp\/v2\/pages\/1279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1279"}],"version-history":[{"count":21,"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=\/wp\/v2\/pages\/1279\/revisions"}],"predecessor-version":[{"id":1540,"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=\/wp\/v2\/pages\/1279\/revisions\/1540"}],"wp:attachment":[{"href":"http:\/\/coates.ma.ic.ac.uk\/seminar\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}