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UID:20250718T212804EDT-0176fwJEbD@132.216.98.100
DTSTAMP:20250719T012804Z
DESCRIPTION:The transformation laws of algebraic theta functions.\n\nWe pre
 sent the algebro-geometric theory underlying the classical transformation 
 laws of theta functions with respect to the action of symplectic matrices 
 on Siegel's upper half-space. More precisely\, we explain how the theta mu
 ltiplier\, the half-integral weight automorphy factor and the Weil represe
 ntation occurring in the classical transformation laws all have a geometri
 c origin\, that is\, they can all be constructed within a given moduli pro
 blem on abelian schemes. To do so\, we introduce and study new algebro-geo
 metric constructions such as theta multiplier bundles\, metaplectic stacks
  and\n	bundles of half-forms\, which could be of independent interest. Appl
 ications include a geometric theory of modular forms of half-integral (in 
 the sense of Shimura)\, and their generalizations to higher degree\, as we
 ll as giving new\, explicit formulas for\n	determinant bundles on abelian s
 chemes.\n
DTSTART:20161006T143000Z
DTEND:20161006T160000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Luca Candelori\, LSU
URL:/mathstat/channels/event/luca-candelori-lsu-263270
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