Convex bodies and algebraic properties of graded families of ideals

Người báo cáo: Hà Huy Tài

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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Florian Bridoux, Christophe Crespelle, Phan Thị Hà Dương, Adrien Richard, Dividing sum of cycles in the semiring of functional digraphs, Natural Computing, Vol. 25, No. 1, 2026. .
Giang Trung Hiếu, Nguyễn Minh Trí, Đặng Anh Tuấn, On some Sobolev and Pólya-Szegö type inequalities with weights and applications, Journal of Mathematical Analysis and Applications, Volume 561, Issue 2, 15 September 2026, 130591 .
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