1,737 reputation
722
bio website math.jhu.edu/~beardsle
location Baltimore, MD
age 27
visits member for 3 years, 9 months
seen 17 mins ago

Learning.


2d
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
Aug
23
revised Higher Degree Data in a Cosimplicial Quasicategory and Delooping
added 248 characters in body
Aug
22
asked Higher Degree Data in a Cosimplicial Quasicategory and Delooping
Aug
14
awarded  Nice Question
Jul
23
comment Detection of stable homotopy by K-theory spectra
@BenWieland Sorry, so in saying that char. 0 fields and transcendental char. p fields detect everything, you're saying that they detect elements of all heights? Or are you saying rather that the detect the entire image of J?
Jul
23
accepted Detection of stable homotopy by K-theory spectra
Jul
23
comment Detection of stable homotopy by K-theory spectra
Wow Ben, thank you so much for your answer! That's really helpful. So, it would seem then that from a chromatic point of view, algebraic K-theory is (at least morally) sort of stuck at height 1?
Jul
22
asked Detection of stable homotopy by K-theory spectra
Jul
12
comment Multiplicative Structures on Moore Spectra
For what it's worth, it seems like what you're getting at is this fundamental difficulty we have in spectra of talking about "modding out by ideals," since you're only looking at localization versus taking quotients.