Applications of algebraic D-modules to projective varieites.

Date: 
2016/06/15 Wed 14:45 - 15:45
Room: 
Room 420, RIMS
Speaker: 
Robin Hartshorne
Affiliation: 
University of California, Berkeley
Abstract: 

※講義時間は14:40〜14:40です。
(システムの問題で40分の表記ができません。ご迷惑をお掛けいたします。)
I will define the notion of an algebraic D-module over a polynomial
ring and give some examples. Then I will show how to use D-modules in
investigating varieties in projective space. If V in P^n is a variety,
with homogeneous ideal I in the coordinate ring A = k[x0, x1, ..., xn],
we can consider the local cohomology modules of A with supports in I.
This is a holonomic algebraic D-module, and I will discuss how to
find the simple components of this module in its filtration as a
holonomic D-module.