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UID:20260624T113020EDT-5313sVjBRB@132.216.98.100
DTSTAMP:20260624T153020Z
DESCRIPTION:Title: Arithmetic Theta Series\n\nAbstract: I will recount a fa
 mily history of theta series through several generations. Theta series for
  positive definite integral quadratic forms provide some of the most class
 ical examples of elliptic modular forms and their Siegel modular variants.
  Analogous series were defined by Siegel and Maass for lattices with indef
 inite quadratic forms say with signature (p\,q). These series are no longe
 r holomorphic and depend on an additional variable in the Grassmannian of 
 negative q-planes\, i.e.\, the symmetric space for the orthogonal group O(
 p\,q). Motivated by work of Hirzebruch and Zagier on the generating series
  for curves on Hilbert modular surfaces\, Millson and I constructed a theo
 ry of theta series valued in the cohomology of certain locally symmetric s
 paces -- geometric theta series. More recently\, a theory of arithmetic th
 eta series has been emerging\, theta series valued in the Chow groups or a
 rithmetic Chow groups of the integral models of certain Shimura varieties.
 \n
DTSTART:20200221T210000Z
DTEND:20200221T220000Z
LOCATION:Room 1104\, 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-320460
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