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SUMMARY:Hyun Kyu Kim (Ewha Womans University)
DTSTART:20210113T020000Z
DTEND:20210113T025000Z
DTSTAMP:20260423T005718Z
UID:LCM2021/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/33/"
 >$SL_3$-laminations as bases for $PGL_3$ cluster varieties for surfaces</a
 >\nby Hyun Kyu Kim (Ewha Womans University) as part of Legendrians\, Clust
 er algebras\, and Mirror symmetry\n\nLecture held in POSTECH\, Pohang\, Re
 public of Korea.\n\nAbstract\nI will recall Fock-Goncharov's duality conje
 cture for cluster $A$- and $X$-varieties\, and Fock-Goncharov's solution f
 or the case of certain enhanced moduli spaces of $G$-local systems on a pu
 nctured surface when $G$ is $SL_2$ and $PGL_2$. Then I will explain how Ku
 perberg's web can be used to extend this result to the case when $G$ is $S
 L_3$ and $PGL_3$.\n
LOCATION:https://researchseminars.org/talk/LCM2021/33/
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