Homological methods in Non-commutative geometry
[IBS-CGP Thematic Program]
November 4 – 13, 2013
CGP Main Hall
<p>I am going to give a brief introduction to what Kontsevich and Soibelman call "non-commutative algebraic geometry" -- the study of A_\infty and DG categories and the study of usual algebraic varieties via their derived categories of coherent sheaves. Here is a rough list of topics I want to cover:</p> <p> 1. Motivations and basic examples<br/> 2. Necessary facts about abstract homotopy theory<br/> 3. Generalities about DG categories; smooth and proper DG categories<br/> 4. Homological invariants: Hochschild and cyclic homology, Hochschild-Kostant-Rosenberg isomorphism<br/> 5. Deformations and Hochschild cohomology </p> <p> I will not assume any knowledge of non-commutative notions, and it should be possible to follow the lectures with very little background. A good reference for DG categories is B. Keller's talk at ICM 2006; for Hochschild and cyclic homology, there is a very good book "Cyclic Homology" by J.-L. Loday. </p>
Invited Speaker
Dmitry Kaledin (Steklov Mathematical Institute, Independent University of Moscow)
Talk(s)
- Homological methods in Non-commutative geometry
- 16:00 – 18:00, 2013-11-13 at CGP Main Hall
- Dmitry Kaledin (Steklov Mathematical Institute, Independent University of Moscow)
- Homological methods in Non-commutative geometry
- 16:00 – 18:00, 2013-11-11 at CGP Main Hall
- Dmitry Kaledin (Steklov Mathematical Institute, Independent University of Moscow)
- Homological methods in Non-commutative geometry
- 16:00 – 18:00, 2013-11-06 at CGP Main Hall
- Dmitry Kaledin (Steklov Mathematical Institute, Independent University of Moscow)
- Homological methods in Non-commutative geometry
- 16:00 – 18:00, 2013-11-04 at CGP Main Hall
- Dmitry Kaledin (Steklov Mathematical Institute, Independent University of Moscow)
Contacts
- IBS-CGP (workshop@ibs.re.kr)