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SUMMARY:Adrian Langer (Institute of Mathematics\, University of Warsaw\, P
 oland)
DTSTART:20210408T130000Z
DTEND:20210408T140000Z
DTSTAMP:20260423T021443Z
UID:ZAG/110
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/110/">Ch
 ern classes of vector bundles</a>\nby Adrian Langer (Institute of Mathemat
 ics\, University of Warsaw\, Poland) as part of ZAG (Zoom Algebraic Geomet
 ry) seminar\n\n\nAbstract\nI will talk about various restrictions on Chern
  classes of vector bundles on algebraic varieties. One of the  most import
 ant is  Bogomolov's inequality saying that the degree of the discriminant 
 of a semistable vector bundle on a smooth complex algebraic variety is non
 -negative.  The degree zero case essentially corresponds to flat vector bu
 ndles.  There are also versions of this inequality for Higgs bundles and i
 n positive characteristic. I will talk about some applications of Bogomolo
 v's inequality and its possible variants in the Chow ring of the variety.\
 n
LOCATION:https://researchseminars.org/talk/ZAG/110/
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