“Counting curves on K3 surfaces: the Katz-Klemm-Vafa formula.”<\/p>\n
I will explain our recent proof (with R. Thomas) of the KKV formula governing higher genus curve counting in arbitrary classes on K3 surfaces. The subject intertwines Gromov-Witten, Noether-Lefschetz, and Donaldson-Thomas theories. A tour of these ideas will be included in the talk. <\/p>\n
“Lagrangian immersions of exotic spheres.”<\/p>\n
We study Lagrangian immersions into Euclidean space which have a single double point. A rigidity theorem for such immersions has applications to Arnold’s nearby Lagrangian submanifold conjecture. This talk reports on joint work with Tobias Ekholm.<\/p>\n
“Expected topology of random real algebraic submanifolds.”<\/p>\n
Given a smooth projective manifold defined over the reals, what is the expected topology of a codimension k submanifold chosen at random? (as the vanishing locus of a random section of some rank k holomorphic vector bundle). I will explain how the L^2 estimates of Hörmander make it possible to tackle this question asymptotically and in particular to estimate its Betti numbers. This is a joint work with Damien Gayet.<\/p>\n","protected":false},"excerpt":{"rendered":"
University College London, 25\/02\/2014 Rahul Pandharipande “Counting curves on K3 surfaces: the Katz-Klemm-Vafa formula.” I will explain our recent proof (with R. Thomas) of the KKV formula governing higher genus curve counting in arbitrary classes on K3 surfaces. The subject intertwines Gromov-Witten, Noether-Lefschetz, and Donaldson-Thomas theories. A tour of these ideas will be included in […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"class_list":["post-34","page","type-page","status-publish","entry"],"featured_image_src":null,"featured_image_src_square":null,"_links":{"self":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages\/34","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/comments?post=34"}],"version-history":[{"count":5,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages\/34\/revisions"}],"predecessor-version":[{"id":43,"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/pages\/34\/revisions\/43"}],"wp:attachment":[{"href":"https:\/\/geometry.ulb.ac.be\/brussels-london\/wp-json\/wp\/v2\/media?parent=34"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}