Sora Miyashita

Osaka university

The trace of the exterior powers of Kähler differentials

The contents of my poster is based on joint work with Ryo Ishizuka (Institute of Science Tokyo). For a (graded) $d$-dimensional Noetherian local ring $(R,\mathfrak{m},k)$, we study the trace ideals of the module of Kähler differentials $\Omega_{R/k}$ and its $d$th exterior power $\Omega^d_{R/k}=\bigwedge^d\Omega_{R/k}$, and discuss their relations to the singular locus and related topics.