July 20, 2010

The topics I am planning to write about

Posted in Uncategorized at 10:14 pm by noncommutativeag

I have written about 80 pages notes on various topics in noncommutative algebraic geometry and relationship with other areas in mathematics. I am planning to blog the following topics in few days:

1. Holonomic D-modules rephrased in noncommutative algebraic geometry and properties.

2. Spectrum of category of coherent sheaves on P^1 and reconstruction theorem.

3. Locality theorem, in particular for commutative schemes and holonomic D-modules.

4. Abelian induction problem, representations of finite dimensional Lie algebra.

5. Derived category of coherent sheaves on P^1, t-structures and gluing machinery

6. Constructible sheaves on P^1 and perverse sheaves.