{"id":1846,"date":"2026-04-06T18:50:30","date_gmt":"2026-04-06T18:50:30","guid":{"rendered":"https:\/\/as.vanderbilt.edu\/math\/?p=1846"},"modified":"2026-04-06T18:51:42","modified_gmt":"2026-04-06T18:51:42","slug":"special-geometry-seminar-april-13-2026","status":"publish","type":"post","link":"https:\/\/as.vanderbilt.edu\/math\/2026\/04\/06\/special-geometry-seminar-april-13-2026\/","title":{"rendered":"Special Geometry Seminar: April 13, 2026"},"content":{"rendered":"<p><strong>Monday, April 13, 2026<\/strong> | SC1310 4:00pm to 5:00pm<\/p>\n<p><strong>Speaker:<\/strong> Richard Hain (Duke University)<\/p>\n<p class=\"xmsonormal\"><span style=\"color: black\"><strong>Title:<\/strong> Hyperelliptic Johnson homomorphisms and higher algebraic cycles<\/span><\/p>\n<p class=\"xmsonormal\"><span style=\"color: black\"><strong>Abstract:<\/strong> In this talk I will define analogues of the Johnson homomorphism for hyperelliptic mapping class groups and explain their relevance to the study of higher algebraic cycles associated to hyperelliptic curves. The talk will focus mainly on the topology and be relatively elementary.<\/span><\/p>\n<p class=\"xmsonormal\"><span style=\"color: black\">After a review of the classical Johnson homomorphism, I will define hyperelliptic mapping class groups and the associated Johnson homomorphisms. Several related conjectures and open questions will be stated. The talk will conclude with a discussion of the connection between hyperelliptic Johnson homomorphisms, the cohomology of moduli spaces of hyperelliptic curves, and its implications for algebraic cycles associated to hyperelliptic curves.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Monday, April 13, 2026 | SC1310 4:00pm to 5:00pm Speaker: Richard Hain (Duke University) Title: Hyperelliptic Johnson homomorphisms and higher algebraic cycles Abstract: In this talk I will define analogues of the Johnson homomorphism for hyperelliptic mapping class groups and explain their relevance to the study of higher algebraic cycles associated to hyperelliptic curves. The&#8230;<\/p>\n","protected":false},"author":219,"featured_media":751,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[9],"tags":[],"acf":[],"jetpack_featured_media_url":"https:\/\/as.vanderbilt.edu\/math\/wp-content\/uploads\/sites\/69\/2025\/03\/geometry-topology.png","_links":{"self":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/1846"}],"collection":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/users\/219"}],"replies":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/comments?post=1846"}],"version-history":[{"count":6,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/1846\/revisions"}],"predecessor-version":[{"id":1852,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/posts\/1846\/revisions\/1852"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media\/751"}],"wp:attachment":[{"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/media?parent=1846"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/categories?post=1846"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/as.vanderbilt.edu\/math\/wp-json\/wp\/v2\/tags?post=1846"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}