******************* Convex bodies and algebraic properties of graded families of ideals

Weekly Activities

Convex bodies and algebraic properties of graded families of ideals
Speaker: Tài Huy Hà (Tulane Uni.)
Time: 9:30 -- 11:00, June 25th, 2025
Venue: Room 612, A6
Abstract: We discuss how to understand various algebraic properties and invariants of graded families of ideals via associated convex bodies and regions. Particularly, we will extend the construction of Newton non-degenerate ideals and their Newton polyhedra to regular local rings, and investigate when simpler convex regions can replace the Newton-Okounkov bodies to give a more accessible approach to the Multiplicity = Volume formula.

 

 

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