{"id":395,"date":"2026-03-06T06:07:30","date_gmt":"2026-03-06T06:07:30","guid":{"rendered":"https:\/\/wp.math.berkeley.edu\/model-theory\/?p=395"},"modified":"2026-03-06T06:07:30","modified_gmt":"2026-03-06T06:07:30","slug":"guest-lecture-on-march-11th-2026-by-zixuan-zhu","status":"publish","type":"post","link":"https:\/\/wp.math.berkeley.edu\/model-theory\/2026\/03\/06\/guest-lecture-on-march-11th-2026-by-zixuan-zhu\/","title":{"rendered":"Guest lecture on March 11th, 2026 by Zixuan Zhu"},"content":{"rendered":"

On Wednesday, March 11th, 2026, Zixuan Zhu, visiting from Universit\u00e4t M\u00fcnster by way of Notre Dame, will be speaking in our seminar.\u00a0 The title and abstract follow.<\/p>\n

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Title:<\/strong> Rank and Independence of Imaginaries in Proper Pairs of ACF<\/p>\n

Abstract:<\/strong> Let $T_P$ be the theory of beautiful pairs of algebraically closed fields of fixed characteristic. It is known that for real tuples in models of $T_P$, SU-rank coincides with Morley rank and can be computed effectively.<\/p>\n

Building on Pillay\u2019s geometric description (2007) of imaginaries in $T_P$, we define an additive rank on imaginaries of $T_P$, called the geometric rank. It takes values in $\\omega\\cdot\\mathbb{N}+\\mathbb{Z}$ and coincides with SU-rank on real tuples. It refines SU-rank and characterizes forking in $T_P^\\text{eq}$. As a consequence, we derive an explicit criterion for determining forking independence.<\/p>\n<\/div>\n<\/div>\n

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On Wednesday, March 11th, 2026, Zixuan Zhu, visiting from Universit\u00e4t M\u00fcnster by way of Notre Dame, will be speaking in our seminar.\u00a0 The title and abstract follow.   Title: Rank and Independence of Imaginaries in Proper Pairs of ACF Abstract: … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":99,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-395","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/posts\/395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/users\/99"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/comments?post=395"}],"version-history":[{"count":2,"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/posts\/395\/revisions"}],"predecessor-version":[{"id":397,"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/posts\/395\/revisions\/397"}],"wp:attachment":[{"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/media?parent=395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/categories?post=395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.math.berkeley.edu\/model-theory\/wp-json\/wp\/v2\/tags?post=395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}