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DTSTART;TZID=America/New_York:20220208T093000
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DTSTAMP:20240304T083416Z
CREATED:20230818T051427Z
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UID:10001287-1644312600-1644316200@cmsa.fas.harvard.edu
SUMMARY:SYZ Conjecture beyond Mirror Symmetry
DESCRIPTION:Abstract: Strominger-Yau-Zaslow conjecture is one of the guiding principles in mirror symmetry\, which not only predicts the geometric structures of Calabi-Yau manifolds but also provides a recipe for mirror construction. Besides mirror symmetry\, the SYZ conjecture itself is the holy grail in geometrical analysis and closely related to the behavior of the Ricci-flat metrics. In this talk\, we will explain how SYZ fibrations on log Calabi-Yau surfaces detect the non-standard semi-flat metric which generalized the semi-flat metrics of Greene-Shapere-Vafa-Yau. Furthermore\, we will use the SYZ fibration on log Calabi-Yau surfaces to prove the Torelli theorem of gravitational instantons of type ALH^*. This is based on the joint works with T. Collins and A. Jacob.
URL:https://cmsa.fas.harvard.edu/event/syz-conjecture-beyond-mirror-symmetry/
LOCATION:Virtual
CATEGORIES:Algebraic Geometry in String Theory Seminar
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