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Combinatorial Inequalities and Combinatorial Interpretations: Part II - Igor Pak
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Special Year Seminar
Topic: Combinatorial Inequalities and Combinatorial Interpretations: Part II
Speaker: Igor Pak
Affiliation: Institute for Advanced Study
Date: October 08, 2024
In the second talk, I will concentrate on polynomial inequalities and whether the defect (the difference of two sides) has a combinatorial interpretation. For example, does the inequality x2+y2≥2xy
have a combinatorial proof and what does that mean? There is a surprisingly clean answer of the most general questions of this kind which can be presented in purely algebraic terms.
Joint work with Christian Ikenmeyer (FOCS 2022).
Topic: Combinatorial Inequalities and Combinatorial Interpretations: Part II
Speaker: Igor Pak
Affiliation: Institute for Advanced Study
Date: October 08, 2024
In the second talk, I will concentrate on polynomial inequalities and whether the defect (the difference of two sides) has a combinatorial interpretation. For example, does the inequality x2+y2≥2xy
have a combinatorial proof and what does that mean? There is a surprisingly clean answer of the most general questions of this kind which can be presented in purely algebraic terms.
Joint work with Christian Ikenmeyer (FOCS 2022).
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