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SUMMARY:François Loeser (Sorbonne Université)
DTSTART:20211104T140000Z
DTEND:20211104T150000Z
DTSTAMP:20260423T053047Z
UID:ZAG/161
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/161/">A 
 motivic version of topological mirror symmetry</a>\nby François Loeser (S
 orbonne Université) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\
 nAbstract\nHausel and Thaddeus have conjectured that the moduli spaces of 
 twisted SL_n- and PGL_n-Higgs bundles on a smooth projective curve have th
 e same (twisted) stringy Hodge numbers. This was recently proven by Groech
 enig\, Wyss and Ziegler using $p$-adic integration. In this talk we shall 
 explain how we can prove using motivic integration that the result holds i
 n the Grothendieck ring of rational Chow motives. This is joint work with 
 D. Wyss.\n
LOCATION:https://researchseminars.org/talk/ZAG/161/
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