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SUMMARY:Rodrigo Gondim (Universidade Federal Rural de Pernambuco)
DTSTART:20210309T000000Z
DTEND:20210309T005000Z
DTSTAMP:20260409T002812Z
UID:MC-NITOC/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MC-NITOC/2/"
 >Waring problems and the Lefschetz properties</a>\nby Rodrigo Gondim (Univ
 ersidade Federal Rural de Pernambuco) as part of Math Colloquium at NITOC\
 n\n\nAbstract\nWe study three variations of the Waring problem for homogen
 eous polynomials\, concerning the Waring rank\, the border rank and the ca
 ctus rank of a form. We show how the Lefschetz properties of the associate
 d algebra affect them. The main tool is the theory of mixed Hessians and M
 acaulay-Matlis duality. We construct new families of wild forms\, that is\
 , forms whose cactus rank\, of schematic nature\, is bigger than the borde
 r rank\, defined geometrically. (Joint with T. Dias\, UFRPE)\n\nThe passco
 de of this zoom talk will be provided shortly before the talk in the collo
 quium web page https://so-okada.github.io/nitoc-math-colloquium.html#21\n
LOCATION:https://researchseminars.org/talk/MC-NITOC/2/
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