Department of Mathematics

Ben Gurion University

Prof. Amnon Yekutieli

Lectures 
(in chronological order, most recent at bottom of page)

(Old Lectures page on the BGU server)

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

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

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

4. Duality in noncommutative algebra and geometry (Dec 2000) postscript

5. Rigid dualizing complexes and representations of Lie algebras (Dec 2000) postscript , pdf

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

7. Differential Graded Algebras (September 2001)  postscript 

8. Filtrations and Localization of Noncommtative Rings (December 2001) postscript  

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

29. An averaging process for unipotent group actions (May 2014). abstract, notes (pdf), slides (pdf) 

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

31. A course on derived categories (June 2012). notes (pdf)

32. Residues and Duality for Schemes and Stacks (Nov 2013). abstract, notes (pdf), slides (pdf)  

33. Introduction to derived categories (April 2013). abstract, notes  

34. Twisted Deformation Quantization of Algebraic Varieties (Sep 2013). abstract, notes (pdf), slides (pdf)

35. Duality and Tilting for Commutative DG Rings (Oct 2014). abstract, notes (pdf), slides (pdf)

36. High Dimensional Topological Local Fields and Residues (June 2014). abstract, notes (pdf), slides (pdf)  

37. Local Beilinson-Tate Operators (Oct 2014). abstract, notes (pdf), slides (pdf)

38. Nonabelian multiplicative integration on surfaces (November 2014). abstract, notes (pdf), slides (pdf).

39. Differential Graded Rings and Derived Categories of Bimodules (June 2015). abstract, notes (pdf), slides (pdf).

40. Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture, June 2015). abstract, notes (pdf), slides (pdf).

41. Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture in Hebrew, Dec 2015). abstract, notes (pdf), slides (pdf).

42. Local and Geometric Beilinson-Tate Operators (Dec 2015). abstract,  notes (pdf), slides (pdf)

43. Weak Proregularity, Weak Stability, and the Noncommutative MGM Equivalence (Sep 2016).  abstract, notes (pdf), slides (pdf)

44. The Derived Category of Sheaves of Commutative DG Rings  (Oct 2018). abstract and notes

45. Flatness and Completion Revisited (Sep 2019). abstract,  notes (pdf), slides  (pdf)

46. An averaging process for unipotent group actions – in differential geometry (Nov 2019). abstract, notes (pdf), slides (pdf)

47. Commutative DG Rings and their Derived Categories (Jan 2020). abstract, notes (pdf), slides (pdf)

48. Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture in Hebrew, Dec 2020). abstract,  compact notes (pdf),  slides (pdf).

49. Rigidity, Residues and Duality: Overview and Recent Progress (May 2021).  abstract,  notes(pdf), slides (pdf) 

50. Pythagorean Triples, Complex Numbers, Abelian Groups and Prime Numbers (a popular lecture in Hebrew, June 2022).  abstract,  compact notes (pdf),   slides (pdf).

51. A Constructive Approach to Derived Algebra (April 2022). abstract + slides . 

52. A DG Approach to the Cotangent Complex (April 2023).  abstract + slides + compact slides + recording  

53.  Adic Completion, Derived Completion, Prisms, and Weak Proregularity (2024).   abstract + slides + compact slides + Zoom recording. 

(Updated 25 June 2024)