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X-FROM-URL:https://eom.sdu.dk/events/ical/14df0e5d-6276-45f2-9370-29295420
 9f47
X-WR-CALNAME:QM Research Seminar: Blowing-up the edge: connection formulae
  and stability chart of the Lamé equation
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163438Z
DTSTART:20261028T030000
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DESCRIPTION:Connections between different areas of physics often provide n
 ew perspectives on difficult problems and suggest guiding principles for 
 their solutions. In this work\, we show how the correspondence between 4d
  N = 2 supersymmetric gauge theories\, 2d conformal field theories and qu
 antum integrable systems can be used to study periodic spectral problems\
 , with a particular focus on the Lam´e equation. After introducing the ke
 y ingredients\, we use 2d CFT techniques to solve the connection problem 
 of the Lam´e equation in terms of semiclassical Virasoro blocks. We then 
 analyze their analytic structure\, showing how apparent poles turn into b
 ranch points through a partial resummation that combines the AGT correspo
 ndence—relating 2d conformal blocks to 4d Nekrasov partition functions—wi
 th a specific limit of the C 2 blow-up equations satisfied by these func
 tions. Finally\, we apply these results to the study of the periodic spec
 tral problems of the Lam´e equation\, highlighting the new insights gaine
 d from this perspective.
DTEND:20251110T150000Z
DTSTAMP:20260602T163438Z
DTSTART:20251110T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Blowing-up the edge: connection formulae and 
 stability chart of the Lamé equation
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