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UID:20260611T185241EDT-447554EROX@132.216.98.100
DTSTAMP:20260611T225241Z
DESCRIPTION:Title: Hyperkahler manifolds dominable by C^n\n\nAbstract: Comp
 act hyperkahler manifolds have been one of the principal focus of many asp
 ects of recent activities in complex algebraic geometry\, their singular a
 nalogs forming one principal and particular class of objects in the birati
 onal building blocks of algebraic varieties. In this talk\, I will first r
 eview my dominability results with Greg Buzzard on K3 surfaces before delv
 ing into hyperkahler manifolds\, which are higher dimensional analogs of K
 3s\, joint with Ljudmila Kamenova. Related work joint also with Verbitsky 
 and Bogomolov will also be mentioned as backdrop and motivation from the p
 erspective of (anti)hyperbolicity\, holomorphic analog of rational connect
 edness (and of unirationality at times) in the Ricci flat setting. Two pri
 ncipal series of examples\, the Hilbert schemes of points on K3 (and\n\nab
 elian) surfaces and the generalized Kummer varieties will be shown to be d
 ominable\, as well as Lagrangian fibred hyperkahler manifolds\, either dou
 bly so or satisfying the usual ansatz. We will elucidate further the geome
 try and their behaviour in moduli space as possible prelude to\n\ngenerali
 zing these partial results time permitting.\n\nLocation: in person at UQAM
  PK-5675\n\nor online at Zoom meeting 86352363947\n\nhttps://can01.safelin
 ks.protection.outlook.com/?url=https%3A%2F%2Fuqam.zoom.us%2Fj%2F8635236394
 7&data=05%7C02%7Cjackie.castreje%40mcgill.ca%7C6b6e79a2e5d042ef71df08dc20d
 61ea5%7Ccd31967152e74a68afa9fcf8f89f09ea%7C0%7C0%7C638421351228106676%7CUn
 known%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLC
 JXVCI6Mn0%3D%7C0%7C%7C%7C&sdata=VyzSycJWuhkSw57Z%2FkBJqxE7ESiadkUFFb9EoANx
 t4g%3D&reserved=0\n
DTSTART:20240131T183000Z
DTEND:20240131T193000Z
SUMMARY:Steven Lu (UQAM)
URL:https://www.mcgill.ca/mathstat/channels/event/steven-lu-uqam-355070
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