Stephen S. Kudla Department of Mathematics University of Toronto 40 St. George St., BA6290 Toronto, ON M5S 2E4 Canada

This lead to some of the problems studied below. In particular, the conservation conjecture stated above and its analogue for unitary groups were found by the first author while visiting the Tata Institute in …

According to the results of Waldspurger, reviewed in section 9, the nonvanishing of this classical lift is controlled by a combination of local obstructions and, most importantly, the central value L(1, F ) of …

Our method was based on a combination of the Garrett, Piatetski-Shapiro, Rallis integral representation of the triple product L-function with the extended Siegel–Weil formula and the seesaw identity. The …

In this report, we will survey results about generating functions for arith-metic cycles on Shimura varieties defined by rational quadratic forms of signature (n, 2).

Here are some, mostly recent, papers: 1. Some extensions of the Siegel-Weil formula, pdf. This article is based on a lecture given at RIMS, Kyoto in January of 1992. 2. Notes on the local theta …

In particular, I have attempted to outline, in very broad terms, a program involving relations among: ignoring many important details and serious technical problems in the process. I apologize at the …

We prove a relation between a generating series for the heights of Heegner cycles on the arithmetic surface associated to a Shimura curve and the second term in the Laurent expansion at s = 1/2 of an …

In that paper, it was established that the nonsingular Fourier coefficients of the derivative at 0 of certain Siegel-Eisenstein series of weight 3/2 on the metaplectic group in 4 variables2 are closely related to …

It seems to us that our results on degenerate special cycles constitute only the beginning of a circle of very interesting problems. This also explains the di erent and much more open-ended nature of this …