Presentation
DG Homological Algebra: Application to a Question in Commutative Algebra
Commutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College
(2013)
Abstract
A finitely generated module C over a commutative noetherian ring R is semidualizing if HomR(C,C)≅R and Exti>1R(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.
Keywords
- Finitely generated modules,
- Commutative noetherian ring,
- Semidualizing compleses,
- Semidualizing modules,
- Vasconcelos,
- Deformation theory,
- DG modules,
- Finite dimensional DG algebras
Disciplines
Publication Date
October 19, 2013
Citation Information
Saeed Nasseh. "DG Homological Algebra: Application to a Question in Commutative Algebra" Commutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College. Schenectady, NY. Oct. 2013.source:http://www.math.union.edu/~niefiels/13conference/conf13/ALG/Nasseh.pdf