bio | website | math.berkeley.edu/~ericp |
---|---|---|
location | UC-B | |
age | 26 | |
visits | member for | 4 years, 5 months |
seen | 8 hours ago | |
stats | profile views | 3,673 |
Graduate student. Interested primarily in homotopy theory and the interactions of algebraic geometry with algebraic topology, but also in lots of other things, including Lie theory, mathematical physics, complex geometry, and graduating.
Apr 4 |
comment |
Units of a ring spectrum
My understanding is that constructing a sane notion of spectra of units sensitive to coconnective information is an interesting open problem. As spaces of units were initially developed to understand twists of spectra parametrized over a space, and as all spaces are themselves connective, this insensitivity wasn't initially considered to be an issue. Steffen Sagave has proposed a model for periodic $E_\infty$ ring spectra; maybe you'd enjoy reading about that. arxiv.org/abs/1111.6731 |
Mar 28 |
comment |
Are there any cool applications of the generalized Atiyah-Hirzebruch(-Serre) spectral sequence?
I don't know how striking this is, but I like the example of computing $E^* BZ/p$ for $E$ a $p$-complete complex-orientable theory via the fiber sequence $S^1 \to BZ/p \to CP^\infty \xrightarrow{p} CP^\infty$. The spectral sequence has a single differential, which upon choice of coordinate is given by the $p$-series of the orientation. Probably it's possible to state this as "First compute $(HZ_p)_*(BZ/p)$, then compute the AHSS," but it seems that justifying this description of the differential in that setting might be more cumbersome...? |
Mar 2 |
reviewed | Approve suggested edit on How many 2L-bit numbers are the product of two L-bit numbers? |
Feb 26 |
reviewed | Approve suggested edit on Method to compute fundamental solutions which are distributions |
Feb 18 |
reviewed | Approve suggested edit on First order stochastic dominance and rearrangement inequalities |
Jan 30 |
comment |
Stable moduli interpretation of $\mathbb{R}\mathrm{P}^\infty_{-1}$
Oh, no, I'm not sure at all. Not only was I not following the talk perfectly, but as a stable homotopy person I'm susceptible to quietly localizing everything and forgetting about it. |
Jan 29 |
revised |
Stable moduli interpretation of $\mathbb{R}\mathrm{P}^\infty_{-1}$
phrasing |
Jan 29 |
asked | Stable moduli interpretation of $\mathbb{R}\mathrm{P}^\infty_{-1}$ |
Jan 25 |
reviewed | Approve suggested edit on Higher vanishing cycles |
Jan 18 |
reviewed | Approve suggested edit on Action Integral |
Jan 7 |
reviewed | Approve suggested edit on Real-world applications of mathematics, by arxiv subject area? |
Jan 7 |
awarded | Custodian |
Jan 7 |
reviewed | Approve suggested edit on Multiplicity of ball covering |
Dec 29 |
awarded | Custodian |
Dec 29 |
reviewed | No Action Needed Convolution of DQ-Modules |
Oct 24 |
awarded | Yearling |
Oct 15 |
awarded | Constituent |
Sep 30 |
awarded | Caucus |
Aug 11 |
comment |
Homology of localisations of spectra
Sure. I'm sure I didn't tell you much you didn't already know, but I thought it would be appreciated by onlookers. |
Aug 10 |
revised |
Homology of localisations of spectra
added 57 characters in body |