Department of Mathematics
Ben Gurion University
Prof. Amnon Yekutieli
Lectures
(in chronological order, most recent at bottom of page)
(in chronological order, most recent at bottom of page)
(Old Lectures page on the BGU server)
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 , pdf
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).
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 2014). abstract, notes (pdf), slides (pdf)
Higher Descent (Dec 2011). abstract, notes (pdf), slides (pdf)
A course on derived categories (June 2012). notes (pdf)
Residues and Duality for Schemes and Stacks (Nov 2013). abstract, notes (pdf), slides (pdf)
Introduction to derived categories (April 2013). abstract, notes
Twisted Deformation Quantization of Algebraic Varieties (Sep 2013). abstract, notes (pdf), slides (pdf)
Duality and Tilting for Commutative DG Rings (Oct 2014). abstract, notes (pdf), slides (pdf)
High Dimensional Topological Local Fields and Residues (June 2014). abstract, notes (pdf), slides (pdf)
Local Beilinson-Tate Operators (Oct 2014). abstract, notes (pdf), slides (pdf)
Nonabelian multiplicative integration on surfaces (November 2014). abstract, notes (pdf), slides (pdf).
Differential Graded Rings and Derived Categories of Bimodules (June 2015). abstract, notes (pdf), slides (pdf).
Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture, June 2015). abstract, notes (pdf), slides (pdf).
Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture in Hebrew, Dec 2015). abstract, notes (pdf), slides (pdf).
Local and Geometric Beilinson-Tate Operators (Dec 2015). abstract, notes (pdf), slides (pdf)
Weak Proregularity, Weak Stability, and the Noncommutative MGM Equivalence (Sep 2016). abstract, notes (pdf), slides (pdf)
The Derived Category of Sheaves of Commutative DG Rings (Oct 2018). abstract and notes
Flatness and Completion Revisited (Sep 2019). abstract, notes (pdf), slides (pdf)
An averaging process for unipotent group actions – in differential geometry (Nov 2019). abstract, notes (pdf), slides (pdf)
Commutative DG Rings and their Derived Categories (Jan 2020). abstract, notes (pdf), slides (pdf)
Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture in Hebrew, Dec 2020). abstract, compact notes (pdf), slides (pdf).
Rigidity, Residues and Duality: Overview and Recent Progress (May 2021). abstract, notes(pdf), slides (pdf)
Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture in Hebrew, June 2022). abstract, compact notes (pdf), slides (pdf).
A Constructive Approach to Derived Algebra (April 2022). abstract + slides .
A DG Approach to the Cotangent Complex (April 2023). abstract + slides + compact slides + recording
(Updated 2 April 2023)