bio | website | math.berkeley.edu/~amathew |
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location | Berkeley, CA | |
age | ||
visits | member for | 4 years, 11 months |
seen | 1 hour ago | |
stats | profile views | 18,012 |
Graduate student at UC Berkeley.
Sep 3 |
comment |
What is the geometric fixed points of an (equivariant) Eilenberg Maclane Spectrum?
@PeterMay: It seems that I was inadvertently looking at the older version of the paper. Apologies for the incorrect reference. |
Sep 1 |
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What is the geometric fixed points of an (equivariant) Eilenberg Maclane Spectrum?
It looks like the geometric fixed points of $H\mathbb{Z}$ for cyclic 2-groups are considered in Proposition 2.42 of the Hill-Hopkins-Ravenel paper, arxiv.org/abs/0908.3724. |
Aug 28 |
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Classes in $H^3(G; \mathbb{Z})$ that restrict to zero on abelian subgroups
@ChrisGerig: thanks. I'll have a look, and yes, it'd be nice to chat further around Berkeley sometime. |
Aug 28 |
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Classes in $H^3(G; \mathbb{Z})$ that restrict to zero on abelian subgroups
@ChrisGerig: a project on Picard groups of ring spectra. This is exactly the type of result we'd need to calculate a certain Picard group. |
Aug 28 |
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Classes in $H^3(G; \mathbb{Z})$ that restrict to zero on abelian subgroups
Yes, I was hoping that the $\mathbb{Z}$ case would rule out examples such as these; in your terminology I'd like for the essential cohomology $H^3$ to be zero for a nonabelian $p$-group. |
Aug 26 |
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Compact objects and ind-objects in triangulated categories
On the other hand, it's not true that the construction of $Ind$-objects commutes with passage to the homotopy category. Stated another way: filtered homotopy inverse limits don't correspond to inverse limits at the level of $\pi_0$ (because of the existence of $\lim^1$ phenomena). |
Aug 26 |
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Compact objects and ind-objects in triangulated categories
It might be worth noting that the answer to your question is yes in the setting of (cocomplete) stable $\infty$-categories: more precisely, $A$ is equivalent to the ind-completion of its compact objects. In particular, if $X$ is a nice scheme (e.g., quasi-projective), then the compact generation of the derived category quasi-coherent sheaves is known (I believe by Thomason-Neeman). |
Aug 25 |
asked | Classes in $H^3(G; \mathbb{Z})$ that restrict to zero on abelian subgroups |
Aug 24 |
awarded | Enlightened |
Aug 24 |
awarded | Nice Answer |
Aug 23 |
revised |
Morava $K(n)$'s are not $E_{\infty}$
deleted 12 characters in body |
Aug 23 |
answered | Morava $K(n)$'s are not $E_{\infty}$ |
Aug 19 |
awarded | Enlightened |
Aug 19 |
awarded | Nice Answer |
Aug 17 |
answered | Cosimplicial commutative rings in stable homotopical algebra |
Aug 15 |
answered | Power operations and Lambda-structure-like lifts of Frobenius in $E_\infty$-geometry? |
Jul 24 |
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Multiplicative Structures on Moore Spectra
I do not know if they (or anyone else) has worked on the problem of the existence of $A_\infty$-structures on generalized Moore spectra. As I understood, the obstruction for the Moore spectra was $E_1$-local. |
Jul 24 |
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Multiplicative Structures on Moore Spectra
@Prasit: It is conjectural that generalized Moore spectra of sufficiently high powers admit actions of any given finitely presented operad (the powers depend on the operad). I believe Devinatz-Hopkins have thought about this problem, but do not know the answer. |
Jul 19 |
awarded | Nice Question |
Jul 13 |
answered | Multiplicative Structures on Moore Spectra |