Title   name
2009 Algebraic Geometry Workshop at KAIST
  Speaker   Hyungju Park  
  Date 2009-04-11
  Place KAIST
  File  의 1 번째 Real Media 동영상입니다.
Abstract : We introduce and generalize the notion of Castelnuovo-Mumford regularity for representations of noncommutative algebras, effectively establishing a measure of complexity for such objects. A noncommutative analogue of Schreyer's Theorem is proved for computing syzygies. By a repeated application of this theorem, we construct free resolutions for representations of noncommutative algebras. Some interesting examples are included in which graded free resolutions and regularities are computed for representations of various algebras.