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SUMMARY:Panos Dimakis
DTSTART:20241129T160000Z
DTEND:20241129T171500Z
DTSTAMP:20260423T024751Z
UID:CIRGET/130
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/130/"
 >On a conjecture of Simpson</a>\nby Panos Dimakis as part of CRM - Sémina
 ire du CIRGET / Géométrie et Topologie\n\nLecture held in PK-5115.\n\nAb
 stract\nOn a compact Riemann surface $\\Sigma$ of genus $g>1$ equipped wit
 h a complex vector bundle $E$ of rank two and degree zero\, let $M_H$ be t
 he moduli space of Higgs bundles. $M_H$ admits a $\\mathbb C^{\\star}$-act
 ion and to each stable $\\mathbb C^{\\star}$-fixed point $[(\\bar\\partial
 _0\,\\Phi_0)]$ is associated a holomorphic Lagrangian submanifold $W^1(\\b
 ar\\partial_0\,\\Phi_0)$ inside the de Rham moduli space $M_{dR}$ of compl
 ex flat connections on $E$. In this talk I will give a proof of a conjectu
 re of Simpson stating that $W^1(\\bar\\partial_0\,\\Phi_0)$ is closed insi
 de $M_{dR}$.\n
LOCATION:https://researchseminars.org/talk/CIRGET/130/
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