{"id":19323,"date":"2025-09-26T13:20:31","date_gmt":"2025-09-26T11:20:31","guid":{"rendered":"https:\/\/scm.iec.cat\/?post_type=conference&#038;p=19323"},"modified":"2025-09-29T16:44:38","modified_gmt":"2025-09-29T14:44:38","slug":"2025-tfm-pedro-lopez","status":"publish","type":"conference","link":"https:\/\/scm.iec.cat\/eng\/conference\/2025-tfm-pedro-lopez\/","title":{"rendered":"2025-TFM-Pedro Lopez"},"content":{"rendered":"<h5>Abstract<\/h5>\n<p>A common strategy in commutative algebra and algebraic geometry for studying algebraic varieties is to construct invariants that measure the complexity of their singularities. In characteristic zero, a prominent collection of these invariants includes multiplier ideals, their jumping numbers, and the Bernstein-Sato polynomial. In positive characteristic, their counterparts are test ideals, their <em>F<\/em>-jumping numbers, and Bernstein-Sato roots. Although these two families arise from very different origins, there is a close interaction between them. One of the most profound formulations of this connection is a conjecture predicting that multiplier ideals and test ideals essentially capture the same information.<\/p>\n<p>In this work, we focus on quasi-homogeneous plane curves defined over fields of positive characteristic, along with their deformations at constant Milnor number. For an infinite number of primes, we give a complete description of their test ideals, <em>F<\/em>-jumping numbers, and Bernstein-Sato roots. Comparing them with the already known multiplier ideals, we verify that the reductions of these modulo a prime coincide with the test ideals.<\/p>","protected":false},"featured_media":0,"parent":0,"template":"","categoria_sessions_conferences":[187],"class_list":["post-19323","conference","type-conference","status-publish","hentry","categoria_sessions_conferences-2a-jornada-tfm-2024"],"acf":[],"_links":{"self":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/conference\/19323","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/conference"}],"about":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/types\/conference"}],"wp:attachment":[{"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/media?parent=19323"}],"wp:term":[{"taxonomy":"categoria_sessions_conferences","embeddable":true,"href":"https:\/\/scm.iec.cat\/eng\/wp-json\/wp\/v2\/categoria_sessions_conferences?post=19323"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}