10 citations · 19 across the 11 of their papers we have counts for
11 papers
Equivariant Steenrod Operations
Prasit Bhattacharya, Alex Waugh, Mingcong Zeng +1
We introduce the notion of -Eulerian sequences for any -ring spectrum of finite orientation order. We prove that each -Eule…
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…
An ML approach to resolution of singularities
Gergely Bérczi, Honglu Fan, Mingcong Zeng
The solution set of a system of polynomial equations typically contains ill-behaved, singular points. Resolution is a fundamental process in geometry in which we replace singular p…
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…
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…
The -homotopy fixed points of spectra with applications to norms of
Michael A. Hill, Mingcong Zeng
We introduce a computationally tractable way to describe the -homotopy fixed points of a -spectrum , producing a genuine spectrum who…
Equivariant Eilenberg-Mac Lane spectra in cyclic -groups
Mingcong Zeng
In this paper we compute -graded homotopy Mackey functors of , the Eilenberg-Mac Lane spectrum of the constant Mackey functor of integers for cyclic…