@article{63588,
author = {{Modin, Klas and Suri, Ali}},
journal = {{Calculus of Variations and Partial Differential Equations }},
title = {{{Geodesic interpretation of the global quasi-geostrophic equations}}},
doi = {{https://doi.org/10.1007/s00526-025-03186-0}},
volume = {{65}},
year = {{2026}},
}
@article{64290,
author = {{Niestijl, Milan}},
issn = {{0022-1236}},
journal = {{Journal of Functional Analysis}},
number = {{9}},
publisher = {{Elsevier BV}},
title = {{{Holomorphic induction beyond the norm-continuous setting, with applications to positive energy representations}}},
doi = {{10.1016/j.jfa.2026.111382}},
volume = {{290}},
year = {{2026}},
}
@unpublished{64629,
author = {{Glöckner, Helge and Neeb, Karl-Hermann}},
pages = {{1056}},
title = {{{Infinite-dimensional Lie groups}}},
year = {{2026}},
}
@unpublished{64871,
author = {{Rahangdale, Praful}},
title = {{{Drinfeld correspondence in infinite dimensions}}},
year = {{2026}},
}
@unpublished{65036,
author = {{Cohen, Tal and Glöckner, Helge and Goffer, Gil and Lederle, Waltraud}},
title = {{{Compact invariant random subgroups}}},
year = {{2026}},
}
@article{63587,
author = {{Suri, Ali}},
journal = {{Differential Geometry and its Applications}},
publisher = {{Elsevier}},
title = {{{Stochastic Euler-Poincaré reduction for central extension}}},
doi = {{https://doi.org/10.1016/j.difgeo.2025.102290}},
volume = {{101}},
year = {{2025}},
}
@inproceedings{63589,
author = {{Cruzeiro, Ana Bela and Suri, Ali}},
isbn = {{978-3-032-03920-0}},
publisher = {{Springer}},
title = {{{Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics}}},
doi = {{https://doi.org/10.1007/978-3-032-03921-7_41}},
year = {{2025}},
}
@unpublished{63602,
abstract = {{We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$.}},
author = {{Michor, P. W. and Rahangdale, Praful}},
title = {{{Poisson bivectors on infinite dimensional manifolds}}},
year = {{2025}},
}
@article{63649,
author = {{Glöckner, Helge and Schmeding, Alexander and Suri, Ali}},
issn = {{2972-4589}},
journal = {{Geometric Mechanics}},
number = {{04}},
pages = {{383--437}},
publisher = {{World Scientific Pub Co Pte Ltd}},
title = {{{Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups}}},
doi = {{10.1142/s2972458925500029}},
volume = {{01}},
year = {{2025}},
}
@article{64289,
abstract = {{Abstract
Motivated by asymptotic symmetry groups in general relativity, we consider projective unitary representations
$$\overline{\rho }$$
ρ
¯
of the Lie group
$${{\,\textrm{Diff}\,}}_c(M)$$
Diff
c
(
M
)
of compactly supported diffeomorphisms of a smooth manifold M that satisfy a so-called generalized positive energy condition. In particular, this captures representations that are in a suitable sense compatible with a KMS state on the von Neumann algebra generated by
$$\overline{\rho }$$
ρ
¯
. We show that if M is connected and
$$\dim (M) > 1$$
dim
(
M
)
>
1
, then any such representation is necessarily trivial on the identity component
$${{\,\textrm{Diff}\,}}_c(M)_0$$
Diff
c
(
M
)
0
. As an intermediate step towards this result, we determine the continuous second Lie algebra cohomology
$$H^2_\textrm{ct}(\mathcal {X}_c(M), \mathbb {R})$$
H
ct
2
(
X
c
(
M
)
,
R
)
of the Lie algebra of compactly supported vector fields. This is subtly different from Gelfand–Fuks cohomology in view of the compact support condition.}},
author = {{Janssens, Bas and Niestijl, Milan}},
issn = {{0010-3616}},
journal = {{Communications in Mathematical Physics}},
number = {{2}},
publisher = {{Springer Science and Business Media LLC}},
title = {{{Generalized Positive Energy Representations of the Group of Compactly Supported Diffeomorphisms}}},
doi = {{10.1007/s00220-024-05226-w}},
volume = {{406}},
year = {{2025}},
}
@misc{64736,
booktitle = {{J. Lie Theory}},
editor = {{Frahm, Jan and Glöckner, Helge and Hilgert, Joachim and Olafsson, Gestur}},
number = {{4}},
title = {{{Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday}}},
volume = {{35}},
year = {{2025}},
}
@phdthesis{64770,
author = {{Pinaud, Matthieu}},
title = {{{Manifold of mappings and regularity properties of half-Lie groups}}},
doi = {{10.17619/UNIPB/1-2211}},
year = {{2025}},
}
@article{34807,
abstract = {{Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of all
real-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space
${\mathfrak g}$ of real-analytic vector fields on $M$. We study flows of
time-dependent real-analytic vector fields on $M$ which are integrable
functions in time, and their dependence on the time-dependent vector field.
Notably, we show that the Lie group $G$ is $L^1$-regular in the sense that each
$[\gamma]$ in $L^1([0,1],{\mathfrak g})$ has an evolution which is an
absolutely continuous $G$-valued function on $[0,1]$ and smooth in $[\gamma]$.
As tools for the proof, we develop several new results concerning
$L^p$-regularity of infinite-dimensional Lie groups, for $1\leq p\leq \infty$,
which will be useful also for the discussion of other classes of groups.
Moreover, we obtain new results concerning the continuity and complex
analyticity of non-linear mappings on open subsets of locally convex direct
limits.}},
author = {{Glöckner, Helge}},
journal = {{Nonlinear Analysis}},
title = {{{Lie groups of real analytic diffeomorphisms are L^1-regular}}},
doi = {{10.1016/j.na.2024.113690}},
volume = {{252}},
year = {{2025}},
}
@unpublished{63569,
abstract = {{Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction group $\mathrm{con}(g)$ of an element $g\in G$ is the set of all $h\in G$ such that $g^n h g^{-n} \to 1_G$ as $n \to \infty$. The nub of $g$ can then be characterized as the intersection $\mathrm{nub}(g)$ of the closures of $\mathrm{con}(g)$ and $\mathrm{con}(g^{-1})$.
Contraction groups and nubs provide important tools in the study of the structure of tdlc groups, as already evidenced in the work of G. Willis. It is known that $\mathrm{nub}(g) = \{1\}$ if and only if $\mathrm{con}(g)$ is closed. In general, contraction groups are not closed and computing the nub is typically a challenging problem.
Maximal Kac-Moody groups over finite fields form a prominent family of non-discrete compactly generated simple tdlc groups. In this paper we give a complete description of the nub of any element in these groups.}},
author = {{Bischof, Sebastian and Marquis, Timothée}},
title = {{{Describing the nub in maximal Kac-Moody groups}}},
year = {{2025}},
}
@unpublished{63568,
abstract = {{In this article we work out the details of flat groups of the automorphism group of locally finite Bruhat-Tits buildings.}},
author = {{Bischof, Sebastian}},
title = {{{On flat groups in affine buildings}}},
year = {{2025}},
}
@unpublished{56114,
author = {{Pinaud, Matthieu}},
title = {{{Manifolds of absolutely continuous functions with values in an infinite-dimensional manifold and regularity properties of half-Lie groups}}},
year = {{2024}},
}
@unpublished{56116,
author = {{Glöckner, Helge and Grong, Erlend and Schmeding, Alexander}},
title = {{{Boundary values of diffeomorphisms of simple polytopes, and controllability}}},
year = {{2024}},
}
@article{56584,
author = {{Suri, Ali}},
journal = {{Journal of Geometry and Physics}},
pages = {{105109}},
title = {{{Curvature and stability of quasi-geostrophic motion}}},
volume = {{198}},
year = {{2024}},
}
@article{56585,
author = {{Suri, Ali}},
journal = {{Journal of Geometry and Physics}},
pages = {{105333}},
title = {{{Conjugate points along spherical harmonics}}},
volume = {{206}},
year = {{2024}},
}
@unpublished{56583,
author = {{Glöckner, Helge and Suri, Ali}},
title = {{{L^1-regularity of strong ILB-Lie groups}}},
year = {{2024}},
}