Singularities and Homological Aspects of Commutative Algebra

  • Aldo Conca

    Università di Genova, Italy
  • Steven Dale Cutkosky

    University of Missouri, Columbia, USA
  • Srikanth B. Iyengar

    University of Utah, Salt Lake City, USA

Abstract

Commutative algebra has recently witnessed a number of spectacular developments, resulting in the resolution of long-standing problems. The new techniques and perspectives, such as methods from the theory of perfectoid spaces, are leading to an extraordinary transformation in the field. There is also remarkable progress on the study of singularities in positive characteristics, and in particular on the problem of resolution of singularities. This workshop brought together researchers driving these developments with a broader group of young researchers in commutative algebra and allied fields, with the aim of spurring new collaborations and progress.

Cite this article

Aldo Conca, Steven Dale Cutkosky, Srikanth B. Iyengar, Singularities and Homological Aspects of Commutative Algebra. Oberwolfach Rep. 16 (2019), no. 1, pp. 407–464

DOI 10.4171/OWR/2019/6