Institute for Advanced Study

On the Physical Origins of the Millimeter Fundamental Plane in Active Galactic Nuclei

Abstract Observations of active galactic nuclei have revealed a correlation between millimeter luminosity, X-ray luminosity, and mass, suggesting the emission in each of these bands is powered by a common source. Starting with a set of five general relativistic magnetohydrodynami...

Lower Ricci curvature bounds and the orientability of spaces

Abstract We study orientability in spaces with Ricci curvature bounded below. Building on the theory developed by Honda, we establish equivalent characterizations of orientability for Ricci limit and RCD \mathrm{RCD} spaces in terms of the orientability of their manifold part. We...

Some singular examples of relative Langlands duality

Abstract Relative Langlands duality structures the study of automorphic periods around a putative duality between certain G -spaces and $$\check{G}$$ G ˇ -spaces, where $$G, \check{G}$$ G , G ˇ are dual reductive groups. In this article, after giving a self-contained exposition o...

Signaturesof Black Hole Spin in Horizon-Scale Polarimetry

The angular momentum of a black hole, usually expressed in terms of a dimensionless “spin,” both shapes the strong-field spacetime and provides a reservoir of rotational energy that can be exchanged with surrounding plasma. Very long baseline interferometry (VLBI) has now begun t...

Epochs of regularity for wild Hölder-continuous solutions of the hypodissipative Navier–Stokes system

Abstract We consider the hypodissipative Navier–Stokes equations on [ 0 , T ] × T d [0,T]\times\mathbb{T}^{d} and seek to construct non-unique, Hölder-continuous solutions with epochs of regularity (smooth almost everywhere outside a small singular set in time), using convex inte...

Hierarchical Three-Body Problem at High Eccentricities = Simple PendulumIV: Octupole for Librating Kozai-Lidov Cycles

Abstract We solve analytically the long-term octupole evolution of librating Kozai-Lidov cycles - those with a negative Kozai constant, in which the argument of pericenter librates - in the double-averaged restricted hierarchical three-body problem. Librating cycles reach extreme...

Picard groups of quotient ring spectra

Abstract We develop tools to study Picard groups of quotients of ring spectra by a finitely generated ideal, which we use to show that , where is a Lubin–Tate theory and is an ideal generated by suitable powers of a regular sequence. We apply this to obtain spectral sequences com...