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DTSTART:20230312T070000
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DTSTART;TZID=America/Toronto:20231124T133000
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URL:https://uwaterloo.ca/pure-mathematics/events/special-colloquium-48
SUMMARY:Special Colloquium
CLASS:PUBLIC
DESCRIPTION:FREID TONG\, HARVARD UNIVERSITY\n\n\"ON COMPLETE CALABI-YAU MET
 RICS AND A FREE-BOUNDARY MONGE-AMPERE\nEQUATION\"\n\nCalabi-Yau metrics ar
 e Ricci-flat\, Kähler metrics\, and they are\ncentral objects in Kähler 
 geometry. The existence problem for\nCalabi-Yau metrics on compact manifo
 lds was answered by Yau in his\nsolution of the Calabi conjecture. The si
 tuation in the non-compact\nsetting is much more delicate\, and many quest
 ions related to the\nexistence and uniqueness of non-compact Calabi-Yau m
 etrics remain\nunanswered. A major difficulty lies in the lack of suitable
  model\nmetrics that model the asymptotics of the Calabi-Yau metric at\nsp
 atial infinity. In this talk\, I will give an introduction to this\nsubje
 ct and discuss some joint work with T. Collins and S.-T. Yau\,\non a new
  relationship between non-compact Calabi-Yau metrics and a\nfree-boundary 
 Monge-Ampere equation\, which allows us to resolve this\nproblem of the l
 ack of model metrics.\n\nMC 5501
DTSTAMP:20260505T152517Z
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