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UID:20260405T155906EDT-8855zBRp1T@132.216.98.100
DTSTAMP:20260405T195906Z
DESCRIPTION:Title:  Cones of weights and Minimal cones of weights over Gore
 n-Oort strata\n\nAbstract: Let p be a prime. In previous joint work with F
 . Diamond\, we introduced the notion of the minimal cone of weights: every
  Hecke system of eigenvalues on the space of mod p Hilbert modular forms i
 s that of a mod p Hilbert eigenform with weight inside the minimal cone. A
 s an immediate corollary of this work\, we proved that the cone of weights
  of nonzero mod p Hilbert modular forms is generated by the weights of the
  partial Hasse invariants (i.e.\, the cone of weights equals the Hasse con
 e). For mod p automorphic forms over a general Shimura variety\, it is yet
  unclear how to define the minimal cone of weights. In this talk\, we will
  discuss a strategy for defining and calculating minimal cones of weights 
 by considering the case of automorphic forms on the Goren-Oort strata of a
  Hilbert modular variety. We will define and determine the minimal cones o
 f weights for all strata by determining their cones of weights (i.e.\, the
  cone generated by the weights of all nonzero automorphic forms on a strat
 um). In particular\, we show that the cones of weights of strata are not g
 enerated by the weights of their respective partial Hasse invariants in ge
 neral. Our proof hints at the idea that for a general Shimura variety X th
 e discrepancy between the cone of weights and the Hasse cone could be expl
 ained by weights of the nonzero pullbacks of partial Hasse invariants on o
 ther Shimura varieties to which X maps. This is joint work with Fred Diamo
 nd.\n
DTSTART:20251023T181500Z
DTEND:20251023T194500Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Payman Kassaei (King's College London)
URL:https://www.mcgill.ca/channels/channels/event/payman-kassaei-kings-coll
 ege-london-368402
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