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 language | American English |
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State | Published - Oct 19 2013 |
Event | Commutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College - Duration: Oct 19 2013 → … |
Conference
Conference | Commutative Algebra and Algebraic Geometry, The 14th Union College Math Conference, Union College |
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Period | 10/19/13 → … |
Disciplines
- Mathematics
Keywords
- Commutative noetherian ring
- DG modules
- Deformation theory
- Finite dimensional DG algebras
- Finitely generated modules
- Semidualizing compleses
- Semidualizing modules
- Vasconcelos