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DTSTART:20200308T070000
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URL:https://uwaterloo.ca/pure-mathematics/events/special-colloquium-29
SUMMARY:Special Colloquium
CLASS:PUBLIC
DESCRIPTION:JUNLIANG SHEN\, MIT\n\n\"The P=W conjecture and hyper-Kähler g
 eometry\"\n\nThe P=W conjecture by de Cataldo\, Hausel\, and Migliorini su
 ggests a\nsurprising connection between the topology of Hitchin systems an
 d\nHodge theory of character varieties. In this talk\, we will focus on\ni
 nteractions between topology of Lagrangian fibrations and Hodge\ntheory in
  general hyper-Kaehler geometries. Such connections shed new\nlight on bot
 h the P=W conjecture for Hitchin systems and the\nLagrangian base conjectu
 re for compact hyper-Kähler manifolds.
DTSTAMP:20260605T195547Z
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