Date & Time: Monday, September 02, 2013, 15:30-17:00.
Venue: Ramanujan Hall

Title: Local Cohomology Modules I

Speaker: Jugal Verma, IIT Bombay

Abstract: Local Cohomology modules were introduced by A. Grothendieck. These modules provide a powerful tool for investigations in commutative algebra, algebraic geometry and combinatorics. In this series of 6 lectures, we will describe several equivalent constructions of local cohomology modules of modules over Noetherian rings. We will prove vanishing theorems due to Grothendieck and Hartshorne. Among applications we will prove connectedness theorems for punctured spectrum and algebraic varieties due to Hartshorne, Faltings and Fulton-Hansen.