1 citations · 1 across the 11 of their papers we have counts for
11 papers
The spectrum of strict units of topological modular forms
Zhenpeng Li, Kiran Luecke
In the theory of spectral algebraic geometry, few objects receive as much study as the spectrum of topological modular forms. In this paper, we compute the strict units of topologi…
Tate-valued Characteristic Classes II: Applications
Shachar Carmeli, Kiran Luecke
We present a construction that manufactures $\E_\infty$ orientations of Tate fixed-point objects together with useful formulas for these maps, and then give a number of application…
p-adic congruences in iterated derivatives of the Weierstrass elliptic function
Kiran Luecke, Eric Peterson
We use homotopy theoretic methods to prove congruence relations of number theoretic interest. Specifically, we use the theory of complex orientations to establis…
Tate-valued Characteristic Classes
Shachar Carmeli, Kiran Luecke
We define a projective variant of classical complex orientation theory. Using this, we construct a map of spectra which lifts the total Chern class, providing an alternative answer…
The spectrum of units of algebraic -theory
Shachar Carmeli, Kiran Luecke
It is well known that the and Postnikov truncations of the units of the topological -theories $\glone \KO$ and $\glone \KU$, respectively, are split, and that th…
Brauer-Wall Groups and Truncated Picard Spectra of -theory
Jonathan Beardsley, Kiran Luecke, Jack Morava
We compute the first two k-invariants of the Picard spectra of and by analyzing their Picard groupoids and constructing their unit spectra as global sections of sheaves o…
A geometric model for mod bordism
Kiran Luecke
In this note I give a positive solution to Bullett's conjecture (posed in [1]) regarding a geometric presentation of the universal mod oriented ring spectrum.
There aren't that many Morava E-theories
Kiran Luecke, Eric Peterson
Let be a perfect field of characteristic . Associated to any (1-dimensional, commutative) formal group law of finite height over there is a complex oriented cohomolo…
A short geometric derivation of the dual Steenrod algebra
Kiran Luecke
This two-page note gives a non-computational derivation of the dual Steenrod algebra as the automorphisms of the formal additive group. Instead of relying on computational tools li…
Completed K-theory and Equivariant Elliptic Cohomology
Kiran Luecke
Kitchloo and Morava give a strikingly simple picture of elliptic cohomology at the Tate curve by studying a completed version of -equivariant -theory for spaces. Several au…
Character Formulas from Matrix Factorizations
Kiran Luecke
In this paper I present a new and unified method of proving character formulas for discrete series representations of connected Lie groups by applying a Chern character-type constr…