BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251021T123823EDT-3788ceP4u6@132.216.98.100 DTSTAMP:20251021T163823Z 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:/sustainability/channels/event/payman-kassaei-king s-college-london-368402 END:VEVENT END:VCALENDAR