# Fortnightly links (90)

A second fortnightly links within a week, what is this madness?

New spaces in mathematics and physics is a "collective book project", roughly based on a conference in 2015, discussing the directions in which geometry is evolving. So far the book is still unpublished, but roughly half of the links in the table of contents are

*clickable*and lead to preprint versions of these chapters.The chapter which is closest to my interests (i.e. the one of Kontsevich) is not yet available though, I will have to wait for the published version to read it I guess.

Christian Nöbel: Higher degree symmetric powers is a bachelor thesis (under the supervision of Daniel Huybrechts), which explains how symmetric powers of curves actually determine the curve, i.e. a Torelli-type result.

Aside from the nice exposition, it points out an issue in the literature for the case of $g=2$ and $\operatorname{Sym}^dC$ with $d\geq 3$.

Alexander Soibelman: Lecture notes on quiver representations and moduli problems in algebraic geometry is what it says it is. They look very well-written, and give a nice overview.