{"id":512,"date":"2026-05-20T14:31:34","date_gmt":"2026-05-20T14:31:34","guid":{"rendered":"https:\/\/sites.rutgers.edu\/algebr-seminar\/?page_id=512"},"modified":"2026-09-18T18:42:49","modified_gmt":"2026-09-18T18:42:49","slug":"current_semester","status":"publish","type":"page","link":"https:\/\/sites.rutgers.edu\/algebr-seminar\/current_semester\/","title":{"rendered":"Fall 2026"},"content":{"rendered":"<div style=\"max-width: 1050px;margin: 0 auto;padding: 28px 28px 76px 28px;font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', Roboto, Helvetica, Arial, sans-serif\">\n<div style=\"width: 150px;height: 5px;background: #cc0033;margin: 0 auto 28px auto\"><\/div>\n<p style=\"margin: 0 0 18px 0;font-size: 13px;font-weight: bold;letter-spacing: 0.18em;text-transform: uppercase;color: #666666;text-align: center\">Rutgers Algebra Seminar<\/p>\n<h1 style=\"margin: 0;font-family: Georgia, 'Times New Roman', serif;font-size: 62px;line-height: 1.02;font-weight: 400;letter-spacing: -0.04em;color: #1f1f1f;text-align: center\">Fall 2026 Seminars<\/h1>\n<div style=\"margin: 52px auto 0 auto;max-width: 920px\">\n<\/div>\n<div style=\"padding: 30px 34px;margin-bottom: 28px;border: 1px solid #dddddd;border-radius: 18px;background: #ffffff;box-shadow: 0 8px 22px #eeeeee\">\n<p style=\"margin: 0 0 10px 0;font-size: 12px;font-weight: 800;letter-spacing: 0.14em;text-transform: uppercase;color: #777777\">Wednesday, September 30, 2026 \u00b7 2:00\u20133:00 PM \u00b7 Hill Center 525<\/p>\n<h2 style=\"margin: 0 0 8px 0;font-family: Georgia, 'Times New Roman', serif;font-size: 30px;line-height: 1.2;font-weight: 400;color: #1f1f1f\">Birational cubic fourfolds via an Enriques Cremona transformation<\/h2>\n<p style=\"margin: 0 0 22px 0;font-size: 17px;line-height: 1.5;color: #555555\"><strong>Lisa Marquand <\/strong>, Rutgers University<\/p>\n<p style=\"margin: 0;font-size: 17px;line-height: 1.65;color: #333333\"><strong>Abstract:<\/strong> Let X be a very general cubic fourfolds containing an Enriques surface. Such a cubic is conjecturally irrational. A conjecture of Huybrechts predicts that there exists a unique non isomorphic cubic fourfolds Y birational to X. We explicitly construct Y via a new Cremona transform of the ambient projective space and verify the conjecture.<\/p>\n<p>This is joint work with Corey Brooke.<\/p>\n<\/div>\n<div style=\"padding: 30px 34px;margin-bottom: 28px;border: 1px solid #dddddd;border-radius: 18px;background: #ffffff;box-shadow: 0 8px 22px #eeeeee\">\n<p style=\"margin: 0 0 10px 0;font-size: 12px;font-weight: 800;letter-spacing: 0.14em;text-transform: uppercase;color: #777777\">Wednesday, October 7, 2026 \u00b7 2:00\u20133:00 PM \u00b7 Hill Center 525<\/p>\n<h2 style=\"margin: 0 0 8px 0;font-family: Georgia, 'Times New Roman', serif;font-size: 30px;line-height: 1.2;font-weight: 400;color: #1f1f1f\">Rank and level for symplectic and orthogonal groups<\/h2>\n<p style=\"margin: 0 0 22px 0;font-size: 17px;line-height: 1.5;color: #555555\"><strong>Yuqiao Huang<\/strong>, Rutgers University<\/p>\n<p style=\"margin: 0;font-size: 17px;line-height: 1.65;color: #333333\"><strong>Abstract:<\/strong> The level and the rank of characters of finite classical groups have been studied in the work of Guralnick, Larsen, and Tiep (Forum Math. Pi 2020; Invent. Math. 2024). Following their strategy, we establish similar results, for finite symplectic groups in odd characteristic, and for finite orthogonal groups in characteristic 2<\/p>\n<\/div>\n<div style=\"padding: 30px 34px;margin-bottom: 28px;border: 1px solid #dddddd;border-radius: 18px;background: #ffffff;box-shadow: 0 8px 22px #eeeeee\">\n<p style=\"margin: 0 0 10px 0;font-size: 12px;font-weight: 800;letter-spacing: 0.14em;text-transform: uppercase;color: #777777\">Wednesday, october 14, 2026 \u00b7 2:00\u20133:00 PM \u00b7 Hill Center 525<\/p>\n<h2 style=\"margin: 0 0 8px 0;font-family: Georgia, 'Times New Roman', serif;font-size: 30px;line-height: 1.2;font-weight: 400;color: #1f1f1f\">Title: TBD<\/h2>\n<p style=\"margin: 0 0 22px 0;font-size: 17px;line-height: 1.5;color: #555555\"><strong>TDB<\/strong>, TBD<\/p>\n<p style=\"margin: 0;font-size: 17px;line-height: 1.65;color: #333333\"><strong>Abstract: TBD<\/strong><\/p>\n<\/div>\n<div style=\"padding: 30px 34px;margin-bottom: 28px;border: 1px solid #dddddd;border-radius: 18px;background: #ffffff;box-shadow: 0 8px 22px #eeeeee\">\n<p style=\"margin: 0 0 10px 0;font-size: 12px;font-weight: 800;letter-spacing: 0.14em;text-transform: uppercase;color: #777777\">friday, october 23, 2026 \u00b7 2:00\u20133:00 PM \u00b7 Hill Center 525<\/p>\n<h2 style=\"margin: 0 0 8px 0;font-family: Georgia, 'Times New Roman', serif;font-size: 30px;line-height: 1.2;font-weight: 400;color: #1f1f1f\">The characteristic polynomial of finite dimensional algebras<\/h2>\n<p style=\"margin: 0 0 22px 0;font-size: 17px;line-height: 1.5;color: #555555\"><strong>Rongwei Yang<\/strong>, University of Albany\/SUNY<\/p>\n<p style=\"margin: 0;font-size: 17px;line-height: 1.65;color: #333333\"><strong>Abstract: <\/strong> For a tuple of square matrices $A=(A_1, &#8230;, A_n)$ of equal size, its characteristic polynomial is defined as $\\det (z_0I+z_1A_1+\\cdots +z_nA_n)$, where I is the identity matrix and z_j are complex variables. If ${\\mathcal A}$ is a n-dimensional complex algebra, then its structure constants give rise to n square matrices of size n. The characteristic polynomial of the structural matrices enables one to study the algebra ${\\mathcal A}$ using geometric, topological, and number theoretic means. In this talk, we will consider examples involving Lie algebras and finite groups.<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Rutgers Algebra Seminar Fall 2026 Seminars Wednesday, September 30, 2026 \u00b7 2:00\u20133:00 PM \u00b7 Hill Center 525 Birational cubic fourfolds via an Enriques Cremona transformation Lisa Marquand , Rutgers University &hellip; <a href=\"https:\/\/sites.rutgers.edu\/algebr-seminar\/current_semester\/\" class=\"\">Read More<\/a><\/p>\n","protected":false},"author":4583,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-512","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fall 2026 - Rutgers Algebra Seminar<\/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:\/\/sites.rutgers.edu\/algebr-seminar\/current_semester\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fall 2026 - Rutgers Algebra Seminar\" \/>\n<meta property=\"og:description\" content=\"Rutgers Algebra Seminar Fall 2026 Seminars Wednesday, September 30, 2026 \u00b7 2:00\u20133:00 PM \u00b7 Hill Center 525 Birational cubic fourfolds via an Enriques Cremona transformation Lisa Marquand , Rutgers University &hellip; 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