Contact Name

S. Dostoglou

Contact Phone

882-6221

Contact Email

dostoglous@missouri.edu

Speaker(s) Information

Prof. Semyon Alesker (Tel Aviv University)

Additional Event Information

TITLE: Geometric inequalities and valuations theory.

ABSTRACT: Valuations are finitely additive measures on convex compact sets. In the last two decades a number of structures (e.g. product and convolution)  with non-trivial properties were discovered on the space of valuations.

One such recently discovered property is an analogue of the classical Hodge-Riemann bilinear relations known in algebraic/Kaehler geometry. In special cases, they imply some classical and new inequalities for convex bodies, to be discussed in the talk. No familiarity with valuations theory and algebraic/Kaehler geometry is assumed.