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UID:20250715T072202EDT-9129cxpxoW@132.216.98.100
DTSTAMP:20250715T112202Z
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\nbundles of half-forms\, which could be of independent interest. Ap
 plications include a geometric theory of modular forms of half-integral (i
 n the sense of Shimura)\, and their generalizations to higher degree\, as 
 well as giving new\, explicit formulas for\n	determinant bundles on abelian
  schemes.\n
DTSTART:20161006T140000Z
DTEND:20161006T140000Z
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-263267
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