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SUMMARY:Hanwool Bae (Seoul National University)
DTSTART:20210322T010000Z
DTEND:20210322T020000Z
DTSTAMP:20260423T024515Z
UID:IBSCGP/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IBSCGP/3/">P
 eterson conjecture via Lagrangian correspondences and wonderful compactifi
 cations</a>\nby Hanwool Bae (Seoul National University) as part of IBS-CGP
  weekly zoom seminar\n\n\nAbstract\nLet $G$ be a compact simply-connected 
 semisimple Lie group and let $T$ be a maximal torus subgroup of $G$. Peter
 son conjecture says that the homology of the based loop space of $G$ and t
 he quantum cohomology of the full flag variety $G/T$ are isomorphic as rin
 gs after a localization. In a joint work with Naichung Conan Leung\, we fo
 und a geometric proof of the conjecture using Floer theoretic techniques. 
 In this talk\, I will first introduce the moment Lagrangian correspondence
  from the cotangent bundle of $G$ to the square $(G/T)^2$ of the flag vari
 ety $G/T$. Then I will discuss how to compute an $A$-infinity homomorphism
  associated to the Lagrangian correspondence and show that it induces the 
 desired isomorphism.\n
LOCATION:https://researchseminars.org/talk/IBSCGP/3/
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