P. Xu

collaborators

3 papers

math.NT2025

Eisenstein class of a torus bundle and log-rigid analytic classes for $SL_{n} (Z)$

Martí Roset, Peter Xu

Starting from a topological treatment of the Eisenstein class of a torus bundle, we define log-rigid analytic classes for $SL_{n} (Z)$ . These are group cohomology cl…

math.NT2024

Explicit formula for the $(GL_{2}, GL_{2})$ theta lift via Bruhat decomposition

Peter Xu

Using combinations of weight-1 and weight-2 of Kronecker-Eisenstein series to construct currents in the distributional de Rham complex of a squared elliptic curve, we find a simple…

math.NT2024

Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus

Peter Xu

We find group cochains valued in currents giving explicit representatives for the $GL_{2}$ -equivariant polylogarithm class of a torus. Based on the construction of weight- $2$ …

Eisenstein class of a torus bundle and log-rigid analytic classes for SLn​(Z)

Explicit formula for the (GL2​,GL2​) theta lift via Bruhat decomposition

Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus

Eisenstein class of a torus bundle and log-rigid analytic classes for $SL_{n} (Z)$

Explicit formula for the $(GL_{2}, GL_{2})$ theta lift via Bruhat decomposition