{"id":484,"date":"2024-02-05T14:10:54","date_gmt":"2024-02-05T19:10:54","guid":{"rendered":"https:\/\/pages.vassar.edu\/mathstats\/?post_type=tribe_events&#038;p=484"},"modified":"2024-02-06T10:00:38","modified_gmt":"2024-02-06T15:00:38","slug":"asprey-lecture-ii-laura-demarco-harvard-university","status":"publish","type":"tribe_events","link":"https:\/\/pages.vassar.edu\/mathstats\/event\/asprey-lecture-ii-laura-demarco-harvard-university\/","title":{"rendered":"(Asprey Lecture II), Laura DeMarco, Harvard University"},"content":{"rendered":"<p>Join us on Friday February 9 at 3PM in Rocky 300 for the second of two Asprey Lecturers delivered by <a href=\"https:\/\/people.math.harvard.edu\/~demarco\/\" target=\"_blank\" rel=\"noreferrer noopener\">Professor Laura DeMarco<\/a>. Harvard University.<\/p>\n<p><strong>Title: <\/strong>The Mandelbrot set today: what we know and what we don&#8217;t know<\/p>\n<p><strong>Abstract:\u00a0<\/strong>One of the most famous\u2013and still not fully understood\u2013objects in mathematics is the Mandelbrot set.\u00a0 By definition, it is the set of complex numbers c for which the recursive sequence {c, c^2+c, (c^2+c)^2+c, \u2026}, defined by x_1 = c and x_{n+1} = (x_n)^2+c, is bounded.\u00a0 But this set turns out to be rich and complicated and related to many different areas of mathematics.\u00a0 I will present an overview of what\u2019s known and what\u2019s not known about the Mandelbrot set, and I\u2019ll describe recent work that (perhaps surprisingly) employs tools from arithmetic geometry to study these systems.\u00a0 The new work is a collaboration with Myrto Mavraki.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-470\" src=\"http:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1.png\" alt=\"\" width=\"334\" height=\"300\" srcset=\"https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1.png 1847w, https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1-300x268.png 300w, https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1-1024x916.png 1024w, https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1-768x687.png 768w, https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1-1536x1374.png 1536w, https:\/\/pages.vassar.edu\/mathstats\/files\/2024\/02\/image-1-1-335x300.png 335w\" sizes=\"auto, (max-width: 334px) 100vw, 334px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Join us on Friday February 9 at 3PM in Rocky 300 for the second of two Asprey Lecturers delivered by Professor Laura DeMarco. Harvard University. Title: The Mandelbrot set today: what we know and what we don&#8217;t know Abstract:\u00a0One of &hellip; <a href=\"https:\/\/pages.vassar.edu\/mathstats\/event\/asprey-lecture-ii-laura-demarco-harvard-university\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1131,"featured_media":0,"template":"","meta":{"_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[10,13],"class_list":["post-484","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-annual","tribe_events_cat-asprey","cat_annual","cat_asprey"],"_links":{"self":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events\/484","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/users\/1131"}],"version-history":[{"count":2,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events\/484\/revisions"}],"predecessor-version":[{"id":505,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events\/484\/revisions\/505"}],"wp:attachment":[{"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/media?parent=484"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tags?post=484"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/pages.vassar.edu\/mathstats\/wp-json\/wp\/v2\/tribe_events_cat?post=484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}