Pablo Ramacher

activity

19992023

most citedSubconvex bounds for Hecke-Maass forms on compact arithmetic quotients of semisimple Lie groups

5 citations · 15 across the 23 of their papers we have counts for

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6 papers · 1 filter

math.SG2023

Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity

Benjamin Delarue, Pablo Ramacher, Maximilian Schmitt

Let $M$ be a symplectic manifold carrying a Hamiltonian $S^{1}$ -action with momentum map $J : M \to R$ and consider the corresponding symplectic quotient $\mathcal{M}_…

math.SG2019

Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions

Benjamin Küster, Pablo Ramacher

We derive a complete asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions on arbitrary symplectic manifolds, characterizing the coefficients in the e…

math.SG2016

Singular oscillatory integrals in equivariant cohomology. Residue formulae for basic differential forms on general symplectic manifolds

Panagiotis Konstantis, Benjamin Küster, Pablo Ramacher

Let $M$ be a symplectic manifold and $G$ a connected, compact Lie group acting on $M$ in a Hamiltonian way. In this paper, we study the equivariant cohomology of $M$ represented by…

math.SG2013

Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology

Pablo Ramacher

Let $M$ be a smooth manifold and $G$ a compact connected Lie group acting on $M$ by isometries. In this paper, we study the equivariant cohomology of $X = T^{*} M$ , and relate…

math.SG2009★ 3 cited

Singular equivariant asymptotics and the moment map II

Pablo Ramacher

This is the second of a series of papers dealing with the asymptotic behavior of certain integrals occuring in the description of the spectrum of an invariant elliptic operator on…

math.SG2009

Singular equivariant asymptotics and the moment map I

Pablo Ramacher

This is the first of a series of papers dealing with the asymptotic behavior of certain integrals occuring in the description of the spectrum of an invariant elliptic operator on a…