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DTSTART;TZID=America/New_York:20250403T100000
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DTSTAMP:20260620T113052
CREATED:20250128T172140Z
LAST-MODIFIED:20250331T191842Z
UID:10003683-1743674400-1743678000@cmsa.fas.harvard.edu
SUMMARY:(Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture
DESCRIPTION:Mathematical Physics and Algebraic Geometry Seminar \nSpeaker: Rafael Álvarez García (Harvard University) \nTitle: (Strictly) Non-minimal Elliptic Threefolds and the Distance Conjecture \nAbstract: We analyze infinite-distance limits in the complex structure moduli space of six-dimensional F-theory\, providing an algebro-geometric classification and a physical interpretation. From the point of view of the Swampland Program\, the motivation is to understand the fate of open-moduli infinite-distance limits in relation with the Distance Conjecture. From an F-theory perspective\, the infinite-distance limits correspond to degenerations of elliptic threefolds leading to non-minimal singularities in codimension one and higher. We show how such non-crepant singularities can be removed by a systematic sequence of blow-ups of the bases of the infinite-distance degenerations\, making their central fibers a union of log Calabi-Yau spaces glued together along their boundaries. We interpret said central fibers as either the endpoints of decompactification limits with six-dimensional defects or as emergent string limits\, providing further evidence for the Emergent String Conjecture. Degenerations leading to strictly non-minimal singularities can correspond both to finite-distance and infinite-distance limits in the open moduli space. We analyze the chain of modifications and base changes necessary to unambiguously determine the fate of such families of F-theory models. \n  \n 
URL:https://cmsa.fas.harvard.edu/event/mathphys_4325/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Mathematical Physics and Algebraic Geometry
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