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SUMMARY:Alexander Hock: Topological Recursion\, $x$-$y$ Duality & Applicat
 ions
DTSTART:20260505T083000Z
DTEND:20260505T093000Z
DTSTAMP:20260502T105200Z
UID:indico-event-16035@indico.math.cnrs.fr
DESCRIPTION:\nTopological recursion (TR) is a universal recursive formalis
 m that associates to a spectral curve an infinite family of multidifferent
 ials on that curve. Its applications span a wide range of fields\, includi
 ng enumerative geometry\, random matrix theory\, topological string theory
 \, quantum spectral curves\, and conjecturally knot theory..\nRecently\, a
  new fundamental duality within TR has been understood: the so-called $x$-
 $y$ duality. This duality admits several incarnations across different app
 lications of TR. In this talk\, I will present this duality and explain ho
 w it extends the framework of TR for certain curves in $\\mathbb{C}^*$. Fu
 rthermore\, I will show how the $x$-$y$ duality can be used to effectively
  compute string amplitudes (i.e.\, Gromov--Witten invariants) and quantum 
 curves for specific mirror curves of toric Calabi-Yau threefolds..\n\n\nht
 tps://indico.math.cnrs.fr/event/16035/
URL:https://indico.math.cnrs.fr/event/16035/
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