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SUMMARY:Deding Yang (Peking University)
DTSTART:20241211T160000Z
DTEND:20241211T170000Z
DTSTAMP:20260418T070002Z
UID:LNTS/147
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/147/">G
 eometry of Shimura varieties and positivity of automorphic line bundles on
  Unitary Shimura varieties</a>\nby Deding Yang (Peking University) as part
  of London number theory seminar\n\nLecture held in Huxley 140\, Imperial 
 College.\n\nAbstract\nThe study of coherent cohomology on (the special fib
 er of) Shimura varieties has various applications to arithmetic problems\,
  like\, \ncongruences of automorphic forms\, weight part of Serre's conjec
 ture\, liftability of mod p automorphic forms. One of the basic problems i
 s to prove certain automorphic line \nbundles are ample\, which yields van
 ishing of coherent cohomology. In this talk\, we start from the ampleness 
 criterion of modular line bundles on Hilbert modular varieties\, \nand the
 n explain how to formulate a generalization to unitary Shimura varieties. 
 Our final result works for split unitary Shimura varieties.\n
LOCATION:https://researchseminars.org/talk/LNTS/147/
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