/explore
|
You are here 
|
quomodocumque.wordpress.com | ||
| | | | |
mattbaker.blog
Today is the 10th anniversary of the death of Martin Gardner. His books on mathematics had a huge influence on me as a teenager, and I'm a fan of his writing on magic as well, but it was only last year that I branched out into reading some of his essays on philosophy, economics, religion,... |
|
| | | | | ||
| | | | |
totallydisconnected.wordpress.com
$latex \bullet$ Let $latex f$ be some cuspidal Hecke eigenform, with associated Galois representation $latex \rho_{f}:G_{\mathbf{Q}}\to \mathrm{GL}_2(\overline{\mathbf{Q}_p})$. A notorious conjecture of Greenberg asserts that if $latex \rho_{f}|G_{\mathbf{Q}_p}$ is abelian (i.e. is a direct sum of characters), then $latex f$ is a CM form, or equivalently $latex \rho_f$ is induced from a character. At some point... |
|
| | | | | ||
| | | | |
polymathprojects.org
This post is meant to propose and discuss a polymath project and a sort of polymath project. I. A polymath proposal: Convex hulls of real algebraic varieties. One of the interesting questions regarding the polymath endeavor was: Can polymath be used to develop a theory/new area? My idea is to have a project devoted to... |
|
| | | | | ||
| | | | |
almostsuremath.com
The aim of this post is to motivate the idea of representing probability spaces as states on a commutative algebra. We will consider how this abstract construction relates directly to classical probabilities. In the standard axiomatization of probability theory, due to Kolmogorov, the central construct is a probability space $latex {(\Omega,\mathcal F,{\mathbb P})}&fg=000000$. This consists... |
|
| | | |||
