{"id":3440,"date":"2024-04-21T09:22:45","date_gmt":"2024-04-21T16:22:45","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=3440"},"modified":"2024-04-21T09:22:45","modified_gmt":"2024-04-21T16:22:45","slug":"analysis-seminar-reginald-anderson-cmc","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/","title":{"rendered":"Analysis seminar: Reginald Anderson (CMC)"},"content":{"rendered":"<div><b>Title:<\/b>\u00a0Review of differential geometry<\/div>\n<div><\/div>\n<div><b>Abstract:<\/b>\u00a01. Given the embedding of a sphere of radius rho centered at the origin of \\R^3 from spherical coordinates, what is the pullback of the flat metric in \\R^3? i.e., what is the &#8220;round metric&#8221; on the 2-sphere of radius rho? 2. If we impose a complex structure on S^2 via identifying charts in \\R^2 with \\C, what does the round metric on the unit sphere look like in a complex coordinate?<\/div>\n<div><\/div>\n<div>If time allows, we can also cover the following: 3. Christoffel symbols describe the (torsion free, Levi-Civita) connection on the (tangent bundle of a) Riemannian manifold. These are described in terms of the metric via raising and lowering indices. 4. Geodesics record the notion of &#8220;straight lines&#8221; in a Riemannian manifold. What does it mean for velocity vectors to be transported in parallel to a path, in terms of its parametrization and Christoffel symbols?<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Title:\u00a0Review of differential geometry Abstract:\u00a01. Given the embedding of a sphere of radius rho centered at the origin of \\R^3 from spherical coordinates, what is the pullback of the flat [&hellip;]<\/p>\n","protected":false},"author":195,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[14],"class_list":["post-3440","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-analysis-seminar","cat_analysis-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Analysis seminar: Reginald Anderson (CMC) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Analysis seminar: Reginald Anderson (CMC) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Title:\u00a0Review of differential geometry Abstract:\u00a01. Given the embedding of a sphere of radius rho centered at the origin of R^3 from spherical coordinates, what is the pullback of the flat [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/\" \/>\n<meta property=\"og:site_name\" content=\"Claremont Center for the Mathematical Sciences\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/\",\"name\":\"Analysis seminar: Reginald Anderson (CMC) - Claremont Center for the Mathematical Sciences\",\"isPartOf\":{\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/#website\"},\"datePublished\":\"2024-04-21T16:22:45+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/colleges.claremont.edu\/ccms\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\/\/colleges.claremont.edu\/ccms\/events\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Analysis seminar: Reginald Anderson (CMC)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/colleges.claremont.edu\/ccms\/#website\",\"url\":\"https:\/\/colleges.claremont.edu\/ccms\/\",\"name\":\"Claremont Center for the Mathematical Sciences\",\"description\":\"Proudly Serving the Math Community at the Claremont Colleges Since 2007\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/colleges.claremont.edu\/ccms\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Analysis seminar: Reginald Anderson (CMC) - Claremont Center for the Mathematical Sciences","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/colleges.claremont.edu\/ccms\/event\/analysis-seminar-reginald-anderson-cmc\/","og_locale":"en_US","og_type":"article","og_title":"Analysis seminar: Reginald Anderson (CMC) - Claremont Center for the Mathematical Sciences","og_description":"Title:\u00a0Review of differential geometry Abstract:\u00a01. 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