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math.NT2025
Eisenstein class of a torus bundle and log-rigid analytic classes for
Martà Roset, Peter Xu
Starting from a topological treatment of the Eisenstein class of a torus bundle, we define log-rigid analytic classes for . These are group cohomology cl…
math.NT2025
Symbols for toric Eisenstein cocycles and arithmetic applications
Peter Xu
Using a complex parameterizing rational spherical chains, we construct explicit cocycles for $\mathrm{GL}_n(\Q)$ valued in the motivic cohomology of (open subsets of) the algebraic…
math.NT2024
Explicit formula for the 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 -equivariant polylogarithm class of a torus. Based on the construction of weight-…