Geometric inequalities for convex sets and valuations theory

Speaker
Semyon Alesker (Tel-Aviv University)
Date
07/01/2024 - 13:00 - 12:00Add to Calendar 2024-01-07 12:00:00 2024-01-07 13:00:00 Geometric inequalities for convex sets and valuations theory Valuations are finitely additive measures on convex sets. The space of translation-invariant valuations carries a number of structures ( i.e., product and convolution), satisfying non-trivial properties. One such recently discovered property is an analogue of the classical Hodge-Riemann relations from algebraic geometry. In special cases, they lead to new inequalities on convex bodies, to be discussed in the talk.   No preliminary knowledge of valuation theory or algebraic geometry is necessary to understand the talk. hybrid mode: math building (216), room 201, and zoom: https://biu-ac-il.zoom.us/j/751076379 אוניברסיטת בר-אילן - המחלקה למתמטיקה mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
hybrid mode: math building (216), room 201, and zoom: https://biu-ac-il.zoom.us/j/751076379
Abstract

Valuations are finitely additive measures on convex sets. The space of translation-invariant valuations carries a number of structures ( i.e., product and convolution), satisfying non-trivial properties. One such recently discovered property is an analogue of the classical Hodge-Riemann relations from algebraic geometry. In special cases, they lead to new inequalities on convex bodies, to be discussed in the talk.
 
No preliminary knowledge of valuation theory or algebraic geometry is necessary to understand the talk.

תאריך עדכון אחרון : 07/01/2024