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SUMMARY:Sheela Devadas
DTSTART:20241111T210000Z
DTEND:20241111T220000Z
DTSTAMP:20260423T040004Z
UID:NTBU/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/9/">Hig
 her-weight Jacobians for complex varieties of maximal Picard number</a>\nb
 y Sheela Devadas as part of Boston University Number Theory Seminar\n\nLec
 ture held in CDS Room 365 in Boston University.\n\nAbstract\nThis talk is 
 about my work with Max Lieblich where we define and study Jacobians of Hod
 ge structures with weight greater than 1. Jacobians of weight 2 or "2-Jaco
 bians" naturally come up in the context of the Brauer group and the Tate c
 onjecture\, and were previously studied in a special case by Beauville in 
 his work on surfaces of maximal Picard number. I will explain how we compu
 te higher-weight Jacobians (as complex tori) for certain special classes o
 f complex varieties\, namely abelian varieties of maximal Picard rank or s
 ingular K3 surfaces. Surprisingly\, these $m$-Jacobians are algebraic for 
 all values of $m$.\n
LOCATION:https://researchseminars.org/talk/NTBU/9/
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