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UID:20250704T151614EDT-3801adkNRJ@132.216.98.100
DTSTAMP:20250704T191614Z
DESCRIPTION:Title: On the subring of special cycle classes for certain orth
 ogonal Shimura varieties\n\nAbstract: Suppose that V is a quadratic space 
 over a totally real field F of degree d such that V has signature (m\,2) a
 t d_+ archimedean places and signature (m+2\,0) at the remaining d-d_+ suc
 h places. Assume that d_+>0 and that V is anisotropic. Special cycles in t
 he corresponding Shimura variety Sh(V) occur in codimensions n d_+\, with 
 n between 1 and m. Their cohomology classes generate a subring of the coho
 mology of Sh(V).\n	We consider the ring obtained by taking the quotient of 
 this natural special cycle ring by the radical of the restriction of the i
 ntersection product. The structure of the resulting subring of special cyc
 les can be given an explicit description in terms of the Fourier coefficie
 nts of Hilbert-Siegel Eisenstein series. As a consequence\, one obtains is
 ometric isomorphism between certain of these rings for different spaces V.
  Finally\, there is a curious combinatorial construction of a 'subring of 
 special cycles' in the case d_+=0.\n	 \n
DTSTART:20200221T183000Z
DTEND:20200221T200000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Steve Kudla\, University of Toronto
URL:/mathstat/channels/event/steve-kudla-university-to
 ronto-320457
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