M. Bourdon

activity

20182023

L^{p}

-Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.GR2023★ 1 cited

De Rham $L^{p}$ -Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity

Marc Bourdon, Bertrand Rémy

We initiate the investigation of critical exponents (in degree equal to the rank) for the vanishing of L^p-cohomology of higher rank Lie groups and related manifolds. We deal with…

math.GR2021★ 1 cited

Non-vanishing for group $L^{p}$ -cohomology of solvable and semisimple Lie groups

Marc Bourdon, Bertrand Rémy

We obtain non-vanishing of group $L^{p}$ -cohomology of Lie groups for $p$ large and when the degree is equal to the rank of the group. This applies both to semisimple and to some sui…

math.GR2018

Quasi-isometric invariance of continuous group $L^{p}$ -cohomology, and first applications to vanishings

Marc Bourdon, Bertrand Remy

We show that the continuous $L^{p}$ -cohomology of locally compact second countable groups is a quasi-isometric invariant. As an application, we prove partial results supporting a pos…

De Rham Lp-Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity

Non-vanishing for group Lp-cohomology of solvable and semisimple Lie groups

Quasi-isometric invariance of continuous group Lp-cohomology, and first applications to vanishings

De Rham $L^{p}$ -Cohomology For Higher Rank Spaces And Groups: Critical Exponents And Rigidity

Non-vanishing for group $L^{p}$ -cohomology of solvable and semisimple Lie groups

Quasi-isometric invariance of continuous group $L^{p}$ -cohomology, and first applications to vanishings