bio | website | math.berkeley.edu/~ericp |
---|---|---|
location | UC-B | |
age | 27 | |
visits | member for | 5 years, 8 months |
seen | 2 hours ago | |
stats | profile views | 4,365 |
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.
Jun 22 |
awarded | Nice Answer |
Jun 21 |
revised |
Homology of localisations of spectra
edited body |
Jun 20 |
comment |
If a topological space has vanishing $n$th homology for every possible homology theory, does it have vanishing $n$th homotopy?
Do you get a positive answer if you also require twisted ordinary homology to vanish? |
Jun 16 |
reviewed | Approve [This might be a easy question]: A possible trace (inequality) defined under negative Sobolev scale |
May 25 |
reviewed | Reject John Nash's Mathematical Legacy |
May 3 |
reviewed | Approve Where to buy premium white chalk in the U.S., like they have at RIMS? |
May 2 |
awarded | Popular Question |
Apr 9 |
awarded | Popular Question |
Mar 8 |
comment |
Properties of coefficients of ring spectra
For any space $X$, the composite $$MU \to KU \to F(X_+, KU)$$ gives with a complex–oriented $E_\infty$–ring spectrum whose formal group law is multiplicative. Feeding in, e.g., a Moore space for X will get you plenty of torsion. This isn't a killer example though, as these are augmented $KU$--algebras, and the augmentation cleanly separates the torsion from your other hypotheses. Still something you should disallow. // A recent result of Mathew, Naumann, and Noel (arXiv:1403.2023) gives some control over the behavior of torsion in $H_\infty$ settings. You may enjoy reading their main results. |
Feb 6 |
comment |
Reconciling two viewpoints for spectra
I wrote some "nontechnical" notes that attempt to introduce the stable homotopy category by reasoning along the lines you mention. They have some deficits, but maybe you'll find they address your question: math.berkeley.edu/~ericp/teaching/Fall2013/msri/… . |
Jan 14 |
reviewed | Approve A naive question about SGA4 |
Jan 8 |
reviewed | Approve Schrodinger equation with magnetic vector potential |
Jan 8 |
reviewed | Approve $\epsilon$-nearly isoclinic |
Dec 24 |
revised |
When does the conormal bundle sequence split?
fixes obsoleted mathjax conventions |
Dec 4 |
reviewed | Approve Find m most distant points from a set of n points |
Dec 4 |
reviewed | Approve Famous mathematical quotes |
Nov 30 |
reviewed | Approve Sets of coprime numbers |
Nov 9 |
reviewed | Approve Isometries of hyper-Kähler manifolds |
Oct 24 |
awarded | Yearling |
Oct 3 |
revised |
What is Quantization ?
fixed mathjax error |