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bio website math.jhu.edu/~beardsle
location Baltimore, MD
age 27
visits member for 3 years, 11 months
seen Nov 24 at 3:56

Learning.


Nov
17
comment Hopf-algebras in associative ring spectra
Actually this answer is rife with mistakes and misunderstandings. I'll try to update it soon...
Nov
17
revised Hopf-algebras in associative ring spectra
deleted 239 characters in body
Nov
15
revised Hopf-algebras in associative ring spectra
expanded to address the commutative case
Nov
14
answered Hopf-algebras in associative ring spectra
Nov
14
comment Thom Spectra and Hopf-Galois Extensions of Ring Spectra
I should perhaps also add that in certain nice cases I have been able to work this out (the write-ups are on my website). But that relies on the collapse of a certain Kunneth spectral sequence which seems unlikely in general. It would be nice to have more general conditions.
Nov
14
revised Hopf-algebras in associative ring spectra
edit in light of comments
Nov
14
comment Hopf-algebras in associative ring spectra
Point taken. It's true that I was just sort of generalizing willy nilly from commutative algebra which, as you say, doesn't make any sense.
Nov
14
asked Hopf-algebras in associative ring spectra
Oct
17
accepted Associative Ring Spectra and Derived Completion
Oct
17
comment Associative Ring Spectra and Derived Completion
Jacob have you (or anyone else) written down somewhere a proof that it's true under the conditions (on $\pi_0$ and $\pi_1$) that Carlsson gives?
Oct
17
revised Associative Ring Spectra and Derived Completion
changed question to reflect comments
Oct
17
comment Associative Ring Spectra and Derived Completion
Fair enough. I'll rephrase the question.
Oct
17
asked Associative Ring Spectra and Derived Completion
Oct
16
comment Cohomology of Formal Groups
Yeah totally! I suppose I should also mention that I worked with this structure in a preprint of mine: math.jhu.edu/~beardsle/lubinTateComplex.pdf
Oct
12
comment What is an infinite prime in algebraic topology?
I would say the people who could really speak to this are Andrew Salch and Jack Morava, neither of whom are, unfortunately, on MathOverflow.
Oct
12
comment What is an infinite prime in algebraic topology?
I haven't heard of anything like this. I suppose in some sense one could try to think of "valuations" as corresponding to Bousfield localizations, or at least, localizations that behave like completion (e.g. localization at HF_p or Morava K-theory). There may be a fruitful analogy to be made here between certain Bousfield localizations and a notion of "valuations" on the sphere spectrum. I guess in some sense topology doesn't SEE the Archimedean place.
Sep
20
accepted The Image of the Mod 2 Homology of BSp in the Homology of BSO
Sep
11
comment Category of modules over commutative monoid in symmetric monoidal category
This sort of stuff is shown in a lot of places that I know of for topological categories, and these things follow as degenerate cases of that, but that's probably overkill.
Sep
11
accepted Higher coherent multiplicative structures on S-algebras
Sep
11
comment Higher coherent multiplicative structures on S-algebras
I see. Ah, that's frustrating. I mean, yeah, I'm interested entirely in $E_2$ and above, but I guess I was hoping this had been worked out. Thanks!