On integrable domains and surfaces

Abstract: Integrability of domains or surfaces in R^n is defined in terms of sectional or solid volume functions, evaluating the volumes of the intersections with affine planes or half-spaces. Study of relations between the geometry of domains and types of their volume functions is motivated by a problem of V.I. Arnold about algebraically integrable bodies, which in turn goes back to celebrated Newton's Lemma about ovals. The talk will be devoted to a survey of some recent works in this area.

analysis of PDEsmetric geometryprobability

Audience: researchers in the topic

Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

If you are interested in giving a talk, please let one of the organizers know. Also, please suggest speakers which you would like to hear talk. Most talks are 50 minutes, but some 20-minute talks will be paired up as well. The talks will be video recorded conditioned upon the speakers' agreement.