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bio website math.berkeley.edu/~amathew
location Berkeley, CA
age
visits member for 4 years, 11 months
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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
comment 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
comment 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
comment 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
comment 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
comment 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
comment 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
comment 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
comment 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