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SUMMARY:Ananth Shankar (Northwestern University)
DTSTART:20261014T160000Z
DTEND:20261014T170000Z
DTSTAMP:20261022T114519Z
UID:FGC-IPM/69
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/69/"
 >p-adic hyberbolicity for Shimura varieties.</a>\nby Ananth Shankar (North
 western University) as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbs
 tract\nLet S be a complex Shimura variety and let S^bb be its Baily\nBorel
  compactification. Assuming that the level structure is\ntorsion-free\, Bo
 rel proved that any holomorphic map from a product of\npunctured discs to 
 S extends to a map from a product of discs to S^bb.\nConsequently\, every 
 holomorphic map from a complex algebraic variety to\nS must actually be al
 gebraic. I will discuss a p-adic analogue of this\ntheorem. This is joint 
 work with Oswal-Zhu-Patel in the setting of\nabelian Shimura varieties\, a
 nd with Bakker-Oswal-Yao in the setting of\nnon-abelian (exceptional) Shim
 ura varieties.\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/69/
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