CORDIS Project
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This project explores the connections between geometric inequalities and valuations in convex geometry. It aims to develop new algebraic structures to better understand and apply affine isoperimetric inequalities, potentially leading to the discovery of new mathematical relationships in the field.
Among several trends in convex geometric analysis, two have undergone an explosive development in recent years: the theory of affine isoperimetric and analytic inequalities, and the enhanced understanding of fundamental concepts of the subject as a whole lent by the theory of valuations.
The proposal concerns both of these trends.The connections between convex body valued valuations and isoperimetric inequalities (like, the Petty projection inequality or affine Sobolev inequalities and their Lp…
TECHNISCHE UNIVERSITAET WIEN
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