45 citations · 104 across the 17 of their papers we have counts for
19 papers
Projected Wasserstein-Fisher-Rao Flows for Hawkes Background-Intensity Estimation
Isaias Banales, Arturo Jaramillo
We consider the problem of estimating the background intensity of a Hawkes process when the triggering mechanism is known, treating the background as an unknown finite positive mea…
Equivariant generating hypotheses for finite groups
Sihao Ma, XiaoLin Danny Shi, Zhouli Xu +1
We prove that no nontrivial finite group satisfies the equivariant generating hypothesis of Bohmann, even when all -graded homotopy groups are tested for every subgroup…
Periodicity and finite complexity in higher real -theories
Zhipeng Duan, Michael A. Hill, Guchuan Li +4
In this paper, we establish periodicity results for higher real -theories at all heights and for all finite subgroups of the Morava stabilizer group at the prime 2. We further a…
Transchromatic phenomena in the equivariant slice spectral sequence
Lennart Meier, XiaoLin Danny Shi, Mingcong Zeng
In this paper, we prove a transchromatic phenomenon for Hill--Hopkins--Ravenel and Lubin--Tate theories. This establishes a direct relationship between the equivariant slice spectr…
A stratification of the equivariant slice filtration
Lennart Meier, XiaoLin Danny Shi, Mingcong Zeng
In this paper, we construct a stratification tower for the equivariant slice filtration. This tower stratifies the slice spectral sequence of a -spectrum into distinct regio…
Vanishing lines in chromatic homotopy theory
Zhipeng Duan, Guchuan Li, XiaoLin Danny Shi
We show that at the prime 2, for any height and any finite subgroup of the Morava stabilizer group, the -graded homotopy fixed point spectral se…
On the slice spectral sequence for quotients of norms of Real bordism
Agnès Beaudry, Michael A. Hill, Tyler Lawson +2
In this paper, we investigate equivariant quotients of the Real bordism spectrum's multiplicative norm by permutation summands. These quotients are of interest b…
Quotient rings of
Agnes Beaudry, Michael A. Hill, Tyler Lawson +2
We study modules over the commutative ring spectrum , whose coefficient groups are quotients of the dual Steenrod algebra by collections of the Mil…
The localized slice spectral sequence, norms of Real bordism, and the Segal conjecture
Lennart Meier, XiaoLin Danny Shi, Mingcong Zeng
In this paper, we introduce the localized slice spectral sequence, a variant of the equivariant slice spectral sequence that computes geometric fixed points equipped with residue g…
Transchromatic extensions in motivic and Real bordism
Agnes Beaudry, Michael A. Hill, XiaoLin Danny Shi +1
We show a number of Toda brackets in the homotopy of the motivic bordism spectrum and of the Real bordism spectrum . These brackets are "red-shifting" in the…
Semi-simplicity of Temperley-Lieb Algebras of type D
Yanbo Li, Xiaolin Shi
We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra being semi-simple by studying branching rule for cell modules. As a byproduct,…
Models of Lubin-Tate spectra via Real bordism theory
Agnes Beaudry, Michael A. Hill, XiaoLin Danny Shi +1
We study certain formal group laws equipped with an action of the cyclic group of order a power of . We construct -equivariant Real oriented models of Lubin-Tate spectr…
Intersection Forms of Spin 4-Manifolds and the Pin(2)-Equivariant Mahowald Invariant
Michael J. Hopkins, Jianfeng Lin, XiaoLin Danny Shi +1
In studying the "11/8-Conjecture" on the Geography Problem in 4-dimensional topology, Furuta proposed a question on the existence of Pin(2)-equivariant stable maps between certain…
The slice spectral sequence of a -equivariant height-4 Lubin-Tate theory
Michael A. Hill, XiaoLin Danny Shi, Guozhen Wang +1
We completely compute the slice spectral sequence of the -spectrum . After periodization and -localization, this spectrum is equivalent to…
Picard groups and duality for Real Morava -theories
Drew Heard, Guchuan Li, XiaoLin Danny Shi
We show, at the prime 2, that the Picard group of invertible modules over is cyclic. Here, is the height Lubin--Tate spectrum and its -action is induced…
Hurewicz Images of Real Bordism Theory and Real Johnson-Wilson Theories
Guchuan Li, XiaoLin Danny Shi, Guozhen Wang +1
We show that the Hopf elements, the Kervaire classes, and the -family in the stable homotopy groups of spheres are detected by the Hurewicz map from the sphere spectrum to t…
Real Orientations of Lubin-Tate Spectra
Jeremy Hahn, XiaoLin Danny Shi
We show that Lubin-Tate spectra at the prime are Real oriented and Real Landweber exact. The proof is by application of the Goerss-Hopkins-Miller theorem to algebras with invol…
Bijective Projections on Parabolic Quotients of Affine Weyl Groups
Elizabeth Milićević, Margaret Nichols, Min Hae Park +2
Affine Weyl groups and their parabolic quotients are used extensively as indexing sets for objects in combinatorics, representation theory, algebraic geometry, and number theory. M…
On Orbits of Order Ideals of Minuscule Posets
David B Rush, XiaoLin Shi
An action on order ideals of posets considered by Fon-Der-Flaass is analyzed in the case of posets arising from minuscule representations of complex simple Lie algebras. For these…