We prove quantitative nonvanishing theorems for central values and central derivatives of L–series associated to canonical Hecke characters of imaginary quadratic fields. These results have applications to the study of Chow groups of Kuga-Sato varieties. Some key ingredients in the proofs are bounds for `-torsion in class groups obtained recently by Ellenberg and Venkatesh [EV], and subconvexit...

Conjecture 32.1 is easily seen to be true for a torus (i.e., G G r m for some r 0), but even the simplest non-trivial case (that of G SL2 ) remains inaccessible. Guido and I published 5 papers together, all in some sense connected with this conjecture. We used the integral form GZ of a complex reductive algebraic group (which is a group scheme over Spec Z ) in order to form the group G(F) of po...

a simple and efficient method for the synthesis of quinolines and polycyclic quinolines using li+ modified nanoporous na+-montmorillonite is described. this new nanocatalyst proceeds via friedlander annulation under solvent-free conditions. it describes our observations about a trend of catalytic activity of lithium cation in nanoporous na+-montmorillonite. in this study, several types of 1,3-d...

The Friedlander{Milnor Conjecture 1] asserts that if G is a reductive algebraic group over an algebraically closed eld k, then the comparison map H et (BG k ; Z=p) ?! H (BG; Z=p) is an isomorphism for all primes p not equal to the characteristic of k. Gabber's rigidity theorem 2] implies that this map is indeed an isomorphism for the stable general linear group GL (this is due to Suslin 6] for ...

In a recent preprint, [CGJ], we showed that for the Dirichlet Laplacian ∆ on the unit disk, the wave trace Tr(eit √ ∆), which has complicated singularities on 2π − ε < t < 2π, is, on the interval 2π < t < 2π+ ε, the restriction to this interval of a C∞ function on its closure. In this paper we prove the analogue of this somewhat counter-intuitive result for the Friedlander model. The proof for ...