Last updated: June 6, 2005

Time & Place：

8/8–8/19 (1st and 2nd weeks): Monday to Friday.

pm: 1:30 – 3:30.

Lecture Room B, 4th Floor 3rd General Building,

National Tsing-Hua University, Hsinchu
　

8/22–9/2 (3rd and 4th weeks): Monday to Friday.

am: 10:00 – 12:00.

Room 308, National Taiwan University, Taipei.

Organizer:

Jungkai Alfred Chen (National Taiwan University)

Speakers:

Andrea D'Agnolo (Universita di Padova, Italy)

Pierre Schapira (Universite Paris VI, France)

Program:

<< 1st week: Homological algebra >>

Andrea D'Agnolo

Review on categories, limits, abelian categories, triangulated categories, localization, derived categories.

<< 2nd week: Sheaves >>

Pierre Schapira

Grothendieck topologies, presheaves and sheaves, direct and inverse images, internal operations on abelian sheaves, derived categories of abelian sheaves, a glance to unboundedderived categories of sheaves, proper direct images and duality.

<< 3rd week and 4th week: D-modules theory >>

Pierre Schapira

Construction of the filtered sheaf of rings D, characteristic variety of coherent D-modules, operations, a glance to the microlocal theory of sheaves, constructible sheaves, holomorphic solutions of D-modules, elliptic pairs, holonomic system and Riemann-Hilbert correspondence. A glance to irregular holonomic D-modules.

A message from Professor Pierre Schapira:

For people who have never seen homological algebra and sheaves, I recommend my course (labeled 3 below) at Paris VI Univ. that you can find on my web page: http://www.institut.math.jussieu.fr/~schapira/polycopies/

1* Categories and Homological Algebra (Ps), (Dvi), (Pdf)

2* An introduction to Sheaves In preparation (Ps), (Dvi), (Pdf)

3* An introduction to Algebraic Topology (course at Paris VI University, 2004/2005)

     (Ps), (Dvi), (Pdf)

The text 1 is more advanced and 2 is not ready now, but I hope it will be finished before my coming.