5 citations · 7 across the 12 of their papers we have counts for
16 papers
Pointwise improvement of the error term in the higher rank hyperbolic lattice counting problem
Dimitrios Chatzakos, Panagiotis Dimakis, Christos Katsivelos
We prove an upper bound for the error term in the higher rank hyperbolic lattice counting problem for . Blomer and Lutsko achieved recently a significan…
Discreteness of real -opers
Panagiotis Dimakis, Richard Wentworth
We prove that the set of real -opers forms a discrete subset of the moduli space of irreducible flat connections.
Off-diagonal bounds for spectral projector kernels
Panagiotis Dimakis
We study the growth of the spectral function of the Laplace-Beltrami operator on a Riemannian manifold of dimension . For we show that for any there is a…
Square root cancellation in the hyperbolic lattice counting problem over cocompact groups
Dimitrios Chatzakos, Panagiotis Dimakis
For cocompact Fuchsian groups we improve Selberg's bound for the error term of the counting function in the hyperbolic lattice counting problem, a…
The conformal limit for Nakajima quiver varieties
Sotiria Chatzimarkou, Panagiotis Dimakis
Inspired by Gaiotto's conformal limit construction for Higgs bundles we define and study a conformal limit construction for Nakajima quiver varieties. We prove that the conformal l…
Lagrangian correspondences for moduli spaces of Higgs bundles and holomorphic connections
Panagiotis Dimakis, Duong Dinh, Shengjing Xu
On a compact connected Riemann surface of genus at least , we construct Lagrangian correspondences between moduli spaces of rank- Higgs bundles (respectively, holomorphic…