Commutative algebra seminar

Tuesday, 30 August 2022, 4.00 pm--5.30 pm

Venue: Ramanujan Hall

Speaker: J. K. Verma

Title: Fibers of blowing ups, symbolic Rees algebras, and set-theoretic complete intersections

Abstract: In this series of three talks, I will present classical results of Cowsik-Nori about fibers of blowing ups, criteria for Noetherian property of symbolic Rees algebras, due to Huneke, Goto-Nishida, and its relation with set-theoretic complete intersections. If time permits, I will show some concrete examples of set-theoretic complete intersection ideals in polynomial rings such as monomial space curves, Fermat ideals, and certain ideals of hyperplane arrangements.