{"id":661,"date":"2022-01-24T13:40:30","date_gmt":"2022-01-24T13:40:30","guid":{"rendered":"https:\/\/pages.charlotte.edu\/colloquium\/?p=661"},"modified":"2022-01-24T13:40:30","modified_gmt":"2022-01-24T13:40:30","slug":"friday-january-28-2022-1100-1200-via-zoom","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2022\/01\/24\/friday-january-28-2022-1100-1200-via-zoom\/","title":{"rendered":"Friday, January 28, 2022, 11:00-12:00 via Zoom"},"content":{"rendered":"\n<p><strong>Speaker:<\/strong>\u00a0Dr. <a href=\"https:\/\/sites.google.com\/view\/eshitamazumdar\">Eshita Mazumdar<\/a> from <a rel=\"noreferrer noopener\" href=\"https:\/\/www.google.com\/url?q=https%3A%2F%2Fahduni.edu.in%2F&amp;sa=D&amp;sntz=1&amp;usg=AFQjCNG060fI6Ypw1mfcqcNftHHZsxiYeg\" target=\"_blank\">Ahmedabad University<\/a>.<\/p>\n\n\n\n<p><strong>Date and Time:<\/strong>\u00a0Friday, January 28, 2022, 11:00-12:00 via Zoom. Please contact <a href=\"https:\/\/math.charlotte.edu\/directory\/william-brian\">Will Brian<\/a> to obtain the Zoom link.<\/p>\n\n\n\n<p><strong>Title:<\/strong>\u00a0Zero-sum problems<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>\u00a0 Zero-sum problems are basically combinatorial in nature. It deals with the condition which ensures that a given sequence over a\u00a0finite\u00a0group has a zero-sum subsequence with some prescribed property.\u00a0There are many invariants associated with zero-sum problems. One of such\u00a0invariants\u00a0is the Davenport Constant.\u00a0\u00a0The original motivation for introducing the Davenport Constant was to study the problem of non-unique factorization domain over number fields. The precise value of this group invariant for any finite abelian group is still unknown. In this talk I will discuss an extremal problem related to Weighted Davenport Constant and introduce several exciting combinatorial results for finite abelian groups. Also, characteristics of these constants on restricted sequences will be discussed. If time permits I will talk about an ongoing project where we introduced a new group invariant which is a natural generalization of the Davenport Constant.<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Speaker:\u00a0Dr. Eshita Mazumdar from Ahmedabad University. Date and Time:\u00a0Friday, January 28, 2022, 11:00-12:00 via Zoom. Please contact Will Brian to obtain the Zoom link. Title:\u00a0Zero-sum problems Abstract:\u00a0 Zero-sum problems are basically combinatorial in nature. It deals with the condition which ensures that a given sequence over a\u00a0finite\u00a0group has a zero-sum subsequence with some prescribed property.\u00a0There [&hellip;]<\/p>\n","protected":false},"author":2373,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-661","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-aF","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/661","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/2373"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=661"}],"version-history":[{"count":1,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/661\/revisions"}],"predecessor-version":[{"id":662,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/661\/revisions\/662"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=661"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=661"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=661"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}