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SUMMARY:Javier Fernandez de Bobadilla (Basque Center for Applied Mathemati
 cs)
DTSTART:20210629T110000Z
DTEND:20210629T120000Z
DTSTAMP:20260423T021335Z
UID:ZAG/133
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/133/">Th
 e Brasselet-Schurmann-Yokura conjecture for L-classes on singular varietie
 s</a>\nby Javier Fernandez de Bobadilla (Basque Center for Applied Mathema
 tics) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nThe 
 Brasselet-Schurmann-Yokura conjecture predicts the equality between the Ho
 dge L-class and the Goresky-MacPherson L-class for compact complex algebra
 ic varieties that are rational homology manifolds. In this talk\, we give 
 two different proofs of this conjecture. The first proof is for projective
  varieties\, and it is based on cubical hyperresolutions\, the Decompositi
 on Theorem\, and classical Hodge theory. This is a joint work with I. Pall
 ares. The second proof is for general compact algebraic varieties by using
  the theory of mixed Hodge modules. This is a joint work with I. Pallares 
 and M. Saito.\n
LOCATION:https://researchseminars.org/talk/ZAG/133/
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