BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carolina Araujo (IMPA) DTSTART:20210311T150000Z DTEND:20210311T160000Z DTSTAMP:20260423T021338Z UID:ZAG/102 DESCRIPTION:Title: Bi rational geometry of Calabi-Yau pairs and 3-dimensional Cremona transforma tions\nby Carolina Araujo (IMPA) as part of ZAG (Zoom Algebraic Geomet ry) seminar\n\n\nAbstract\nAbstract: Recently\, Oguiso addressed the follo wing question\, attributed to Gizatullin: ``Which automorphisms of a smoot h quartic K3 surface $D\\subset \\mathbb{P}^3$ are induced by Cremona tran sformations of the ambient space $\\mathbb{P}^3$?'' When $D\\subset \\math bb{P}^3$ is a quartic surface\, $(\\mathbb{P}^3\,D)$ is an example of a \ \emph{Calabi-Yau pair}\, that is\, a pair $(X\,D)$ consisting of a normal projective variety $X$ and an effective Weil divisor $D$ on $X$ such that $K_X+D\\sim 0$. In this talk\, I will explain a general framework to study the birational geometry of mildly singular Calabi-Yau pairs. Then I will focus on the case of singular quartic surfaces $D\\subset \\mathbb{P}^3$. Our results illustrate how the appearance of increasingly worse singularit ies in $D$ enriches the birational geometry of the pair $(\\mathbb{P}^3\, D)$\, and lead to interesting subgroups of the Cremona group of $\\mathbb{ P}^3$. This is a joint work with Alessio Corti and Alex Massarenti.\n LOCATION:https://researchseminars.org/talk/ZAG/102/ END:VEVENT END:VCALENDAR