Skip to main content

All Questions

Filter by
Sorted by
Tagged with
22 votes
2 answers
6k views

References and resources for (learning) chromatic homotopy theory and related areas

What references and resources (e.g. video recorded lectures) are available for learning chromatic homotopy theory and related areas (such as formal geometry)?
6 votes
1 answer
412 views

Descent for $K(1)$-local spectra

For odd primes, we have an equalizer diagram for the $K(1)$- local sphere given by $$L_{K(1)}S \rightarrow K{{ \xrightarrow{\Psi^g}}\atop{\xrightarrow[i_K ] {}}} K$$ where $g$ is a topological ...
happymath's user avatar
  • 177
6 votes
0 answers
157 views

Are there versions of highly connected covers of Lie groups with highly periodic homotopy groups?

There is much activity around the study of highly connected covers of Lie groups (well, of their "infinite rank" versions like $\displaystyle{\lim_{N\to\infty}} \ O(N)$, say). Looking at the ...
მამუკა ჯიბლაძე's user avatar
3 votes
1 answer
148 views

Homotopy groups of $K(n)$-local $E_n$-modules are $L$-complete

Let $E_n$ be the $n$-th Morava $E$-theory and let $K(n)$ denote the $n$-th Morava $K$-theory. Question: If $M$ is a $K(n)$-local $E_n$-module, then are the homotopy groups $\pi_*(M)$ $L$-complete? (...
happymath's user avatar
  • 177