Department of Mathematics
Ben Gurion University

Prof. Amnon Yekutieli

Lecture Notes 

• The derived Picard group and representations of quivers (June 1999)  postscript

• The Auslander Condition and Perverse Sheaves (Feb. 2000) postscript  streaming video 

• Derived Picard groups of finite dimensional algebras (Oct. 2000) postscript

• Duality in noncommutative algebra and geometry (Dec 2000) postscript

• Rigid dualizing complexes and representations of Lie algebras (Dec 2000) postscript

• Derived Picard groups of finite dimensional algebras (June 2001) postscript

• Differential Graded Algebras (September 2001) postscript    

• Filtrations and Localization of Noncommtative Rings (December 2001) postscript   

• Perverse Sheaves and Dualizing Complexes on Schemes (April 2002). abstract (html) , notes (ps) 

• On the structure of behaviors (Dec 2002). notes in jpeg        

• Perverse Sheaves and Dualizing Complexes on Noncommutative Ringed Schemes (May 2003). notes (ps) , notes (pdf) , slides (pdf)   

• Grothendieck Duality via Rigid Dualizing Complexes and Differential Graded Algebras (Feb 2004).  abstract (html) , notes (ps), slides (ps) 

• Deformation Quantization in Algebraic Geometry  (August 2005).  abstract and notes 

• An averaging process for unipotent group actions (March 2005). abstract (html), notes (ps), slides (ps)  

• Homological Transcendence Degree (April 2005).   abstract & notes (html)

• Dualizing Complexes over Noncommutative Rings (Feb 2006). notes (pdf, latex), slides (pdf, latex)

• Duality in Noncommutative Algebraic Geometry (Feb 2006). notes (pdf, latex), slides (pdf, latex)

• Rigid Dualizing Complexes via Differential Graded Algebras (Feb 2007). abstract, notes (pdf, latex), slides (pdf, latex)  

• Algebraic Aspects of Deformation Quantization (May 2007). abstract, notes (pdf, latex), slides (pdf, latex)  

• Rigid Dualizing Complexes and Perverse Coherent Sheaves (Oct 2007). abstract, notes (pdf, latex), slides (pdf, latex)

• Duality in noncommutative algebra and geometry (June 2008). abstract, notes (pdf, latex), slides (pdf, latex)

• An averaging process for unipotent group actions (June 2008). abstract, notes (pdf, latex), slides (pdf, latex)

• Twisted Deformation Quantization of Algebraic Varieties (June 2009). abstract, notes (pdf, latex), slides (pdf, latex)

• Categories with Inner Gauge Groups (June 2009). abstract, notes (pdf, latex), slides (pdf, latex)

• Central Extensions of Gerbes (Apr 2010). abstract, notes (pdf), slides (pdf).

• Nonabelian multiplicative integration on surfaces (November 2010). abstract, notes (pdf), slides (pdf).

• Pythagorean Triples and Group Theory (a popular lecture in Hebrew; Oct. 2010). abstract, notes, slides.  

• Flatness and Completion for Infinitely Generated Modules over Noetherian Rings (Oct 2010). abstract, notes, slides.    

• The Reduced Deligne Groupoid (March 2011). abstract, notes, slides.    

• Cohomologically Complete Complexes (Oct 2011). abstract, notes, slides.    

• An averaging process for unipotent group actions (May 2011). abstract, notes (pdf), slides (pdf, latex)      

• Higher Descent  (Dec 2011). abstract, notes (pdf), slides (pdf)       

Updated 4 December 2011