Lifting heptagon symbols to functions

Lifting Modular Symbols of Non-critical Slope

We give a new proof of the result, originally proved in unpublished work of Glenn Stevens [7], that every modular eigensymbol of non-critical slope lifts uniquely to a rigid-analytic distribution-valued eigensymbol. The proof is algorithmic and facilitates the efficient calculation of certain padic integrals.

Lifting Sequential Functions to Parallel Skeletons

Modular Symbols and L-functions

As the rst non-overview lecture in this seminar, we will be setting up a lot of notation, getting comfortable working with modular symbols, and then hopefully discussing some of the major inputs which make the theory work. The rst half of the talk we will work through the example of the unique cusp form of weight two and level 11 on X0(11). In the second half, we will bring in the theoretical r...

Memory: Symbols, Functions or Both?

In recent years, the study of memory has been the subject of discussions among those researchers who try to identify the mechanisms and contents of memory and those who concentrate in discovering their functions. These two approaches differ not only in the theoretical explanations that they offer to some phenomena, but also in which phenomena they consider worth pursuing and how and where these...

Generating Functions for Multi-j-Symbols

with x ∈ SU(2). The j1, j2, j3 are half integers and m1 = −j1, −j1 + 1, . . . , j1, etc. Obviously Eq. (1) depends on the explicit choice of the representations R(j). As usual we use Euler parameters to parameterize SU(2) and choose representations that are diagonal in the first and the third rotation: R mm′ (α, β, γ) = exp ( imα+ imγ ) djmm′ (β) , (2) DIAS, 10 Burlington Rd., Dubin 4, Ireland ...