DG Homological Algebra: Application to a Question in Commutative Algebra

Research output: Contribution to conferencePresentation

Abstract

A finitely generated module C over a commutative noetherian ring R is semidualizing if Hom R ( C , C )≅ R and Ext i >1 R ( C , C )=0. In this talk, we sketch the complete answer to one of the major open questions about semidualizing modules, posed by Vasconcelos in 1974. Our proof relies on certain aspects of deformation theory for DG modules over a finite dimensional DG algebra.

Original languageAmerican English
StatePublished - Oct 19 2013
EventCommutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College -
Duration: Oct 19 2013 → …

Conference

ConferenceCommutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College
Period10/19/13 → …

Disciplines

  • Mathematics

Keywords

  • Commutative noetherian ring
  • DG modules
  • Deformation theory
  • Finite dimensional DG algebras
  • Finitely generated modules
  • Semidualizing compleses
  • Semidualizing modules
  • Vasconcelos

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