Special Lecture - Botong Wang; University of Wisconsin

Title: Volume inequalities and volume polynomials

Abstract: Many classical geometric inequalities, such as the isoperimetric inequality and the Loomis-Whitney inequality, can be understood and generalized using mixed volumes. In this talk, I will explain how these inequalities fit into a broader framework based on volume polynomials, which naturally relate mixed volume inequalities to intersection number inequalities in algebraic geometry. This perspective provides a unified approach to a wide range of classical results and leads to new generalizations of mixed volume inequalities. This is joint work with June Huh, Mateusz Michałek and Jian Xiao.

Thursday, February 26, 2026 12:30pm
MacLean Hall
Muhly Lounge
2 West Washington Street, Iowa City, IA 52240
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Individuals with disabilities are encouraged to attend all University of Iowa–sponsored events. If you are a person with a disability who requires a reasonable accommodation in order to participate in this program, please contact Lihe Wang in advance at 3193350714 or lihe-wang@uiowa.edu.