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UID:20260207T065950EST-4069C9oWMM@132.216.98.100
DTSTAMP:20260207T115950Z
DESCRIPTION:Title: Hyperkahler manifolds dominable by C^n\, Part II\n\nAbst
 ract: In this second talk\, I will review the proof of my main dominabilit
 y results obtained jointly with Greg Buzzard on elliptic K3 surfaces befor
 e delving into their higher dimensional analog\, the Lagrangian fibered hy
 perkahler manifolds. Related work joint also with Verbitsky and Bogomolov 
 will be mentioned as backdrop and motivation from the perspective of (anti
 )hyperbolicity\, holomorphic analog of rational connectedness (and of unir
 ationality at times) in the Ricci flat setting. We will describe briefly t
 he two principal classical series of examples of hyperkahler manifold\, th
 e Hilbert schemes of points on K3 (and abelian) surfaces and the generaliz
 ed Kummer varieties in order to talk about their homomorphic dominability 
 by C^n. We will also show the dominability of Lagrangian fibered hyperkahl
 er manifolds in dimension four\, and in higher dimension\, of those that a
 re either doubly so fibered or satisfy the usual ansatz. We will elucidate
  further the geometry and their behaviour in moduli space as possible prel
 ude to\n\ngeneralizing these partial results time permitting.\n\nIn person
  at UQAM PK-5675\n\nor online at Zoom meeting 86352363947\n\nhttps://can01
 .safelinks.protection.outlook.com/?url=https%3A%2F%2Fuqam.zoom.us%2Fj%2F86
 352363947&data=05%7C02%7Cjackie.castreje%40mcgill.ca%7Ce330576c81b54a7b965
 508dc2cb15abf%7Ccd31967152e74a68afa9fcf8f89f09ea%7C0%7C0%7C638434387446955
 529%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik
 1haWwiLCJXVCI6Mn0%3D%7C0%7C%7C%7C&sdata=kjFcNyTrjv70Z5zT1wRFzprf6QfWsfuzOF
 5VU8vhrOk%3D&reserved=0\n\n \n
DTSTART:20240214T190000Z
DTEND:20240214T200000Z
SUMMARY:Steven Lu (UQAM)
URL:/mathstat/channels/event/steven-lu-uqam-355382
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