Back to Departmental Colloquium: Spring 2005
Departmental Colloquium
Date: Thursday, Jan 27, 2005
Time: 4:15PM
Location: JWB 335
Special Colloquium Thursday
Finiteness Properties of Local Cohomology Modules
Title |
Finiteness Properties of Local Cohomology Modules |
Abstract |
The theory of local cohomology was developed by Grothendieck, who used it to prove Lefschetz-type theorems. The theory has applications to basic questions such as determining the minimal number of polynomial equations needed to define an algebraic set. Local cohomology modules are typically not finitely generated over the base ring, but still possess useful finiteness properties. We will discuss these finiteness properties, some recent work, and open questions. |
Algebraic Geometry
Commutative Algebra