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SUMMARY:Supersymmetric Flux Compactifications and Calabi-Yau Modularity
DTSTART;VALUE=DATE-TIME:20210604T000000Z
DTEND;VALUE=DATE-TIME:20210604T011500Z
DTSTAMP;VALUE=DATE-TIME:20230325T170534Z
UID:indico-contribution-5735@indico.ipmu.jp
DESCRIPTION:Speakers: Richard Nally (Stanford U.)\nMany familiar construct
ions in string theory are rooted in the complex geometry of the compact di
mensions. On the other hand\, many recent advances in mathematics come fro
m arithmetic geometry\, where we consider the properties of varieties over
smaller fields such as Q. In this talk\, following recent work (arXiv:200
1.06022\, arXiv:2010.07285) with S. Kachru and W. Yang\, I will explain ho
w string theory can be related to arithmetic. In particular\, I will argue
that supersymmetric flux vacua admit arithmetic structures closely relate
d to those of elliptic curves\, and moreover that these arithmetic structu
res are related to the geometry of the F-theory description of the flux co
mpactification.\n\nhttps://indico.ipmu.jp/event/387/contributions/5735/
LOCATION:Online
URL:https://indico.ipmu.jp/event/387/contributions/5735/
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