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SUMMARY:Julius Ross (University of Illinois Chicago)
DTSTART:20220331T160000Z
DTEND:20220331T170000Z
DTSTAMP:20260423T021335Z
UID:ZAG/198
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/198/">Ho
 dge-Riemann Classes and Schur Polynomials</a>\nby Julius Ross (University 
 of Illinois Chicago) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\
 nAbstract\nThe classical Hodge-Riemann bilinear relations are statements a
 bout the intersection form associated to the self-wedge product of a K\\"a
 hler form on a compact complex manifold.   Gromov initiated the question a
 s to whether there are other cohomology that give rise these same bilinear
  relations\, and proved that this is the case for the intersection of (pos
 sibly different) K\\"ahler classes.   In this talk I will discuss joint wo
 rk with Matei Toma in which we prove that the Schur classes of ample vecto
 r bundles have the Hodge-Riemann bilinear relations (at least on $H^{1\,1}
 $).   This gives rise to a number of new inequalities among characteristic
  classes of ample vector bundles that should be thought of as generalizati
 ons of the Khovanskii-Tessier inequalities.  And if time allows I will als
 o discuss how this extends to the non-projective case and beyond.\n
LOCATION:https://researchseminars.org/talk/ZAG/198/
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