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SUMMARY:Modularity of Calabi-Yau Manifolds and Physics
DTSTART:20240507T120000Z
DTEND:20240507T140000Z
DTSTAMP:20240523T162800Z
UID:indico-event-599@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Pyry Kuusela (Universität Mainz)\n\nOne of the most
fascinating and important topics in contemporary mathematics is the study
of modularity. This is a phenomenon where it is possible to associate a m
odular form to a manifold by using its number theoretic properties. Surpri
singly\, this deep correspondence has concrete implications for the physic
s of Calabi-Yau compactifications of string theory\; the modular form turn
s out to encode physical information. For instance\, the L-function associ
ated to the modular form appears in the Bekenstein-Hawking entropy of BPS
black holes. Another central example is given by IIB flux compactification
s\, where the modular form specifies the axiodilaton\, or equivalently F-t
heory fibre in the F-theory uplift.In this talk\, I give a concise overvie
w of the geometry and number theory behind modularity\, as well as various
instances in physics where modularity appears. I will then explain in con
crete terms\, how modular Calabi-Yau manifolds can be found in practice\,
and how their modular properties can be studied by using numerical methods
. Additionally\, I will present some examples where results and conjecture
s from number theory give novel approaches to solving interesting problems
in physics.This talk is based on several joint works with Candelas\, de l
a Ossa\, Jockers\, Kotlewski\, and McGovern.\n\nhttps://indico.hiskp.uni-b
onn.de/event/599/
URL:https://indico.hiskp.uni-bonn.de/event/599/
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