1,774 reputation
722
bio website math.jhu.edu/~beardsle
location Baltimore, MD
age 27
visits member for 3 years, 10 months
seen 10 hours ago

Learning.


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!
Sep
11
comment Higher coherent multiplicative structures on S-algebras
Nah I'm just talking about an $A$-module in the traditional sense.
Sep
11
comment Higher coherent multiplicative structures on S-algebras
So it's not clear that one can actually tensor together two $A$-modules and get another $A$-module back, is that what you're saying?
Sep
11
asked Higher coherent multiplicative structures on S-algebras
Sep
6
comment Flat Connections on the Cotangent Complex
Thanks @JasonStarr, at the moment I'm only finding something about the Atiyah class. This seems to be an obstruction to supporting a connection, or something along these lines. Is that what you're referring to?
Sep
6
asked Flat Connections on the Cotangent Complex
Aug
28
comment Why is Set, and not Rel, so ubiquitous in mathematics?
I think the main reason we stick so close to functions is purely historical. Set theory and category theory are natural generalizations of things that already existed - that is, geometry, space and time, as was said above. However, I'd also say that there seems to be a general theme of looking at relation-eqsue objects when one starts working with motives. That is, subsets of $X\times Y$ satisfying some property, rather than functions $X\to Y$.
Aug
24
comment Can formal logic give a precise notion of “canonical”?
I am not a logician, but I agree with @DavidCorwin here. It's clear that there are lots of logical ways to pick one shoe over the other, but that seems to be missing the point. It's like working with objects versus pointed objects. However, this seems like a tacitly illogical state of affairs, in that by asking to pick one "over" the other, you're assigning value in some way, which seems a little non-mathematical.
Aug
24
answered Higher Degree Data in a Cosimplicial Quasicategory and Delooping