Veranstaltungen

30. März 2023, 15:00 bis 17:00

AKOR Seminar: Integral Geometry on Convex Functions

Seminar

Fabian Mußnig, TU Wien

We introduce functional generalizations of the classical Cauchy-Kubota formulas for convex functions of n variables. We will show how such formulas follow from a functional Hadwiger theorem and how improved formulas can be obtained by using properties of mixed Monge-Ampère measures. The underlying setting connects to convex bodies in n-dimensional as well as (n+1)-dimensional space. If time permits, we will also discuss applications, such as functional versions of the additive kinematic formulas or questions on the supports of special mixed Monge-Ampère measures.

Based on joint works with Andrea Colesanti and Monika Ludwig as well as Daniel Hug and Jacopo Ulivelli.

Kalendereintrag

Veranstaltungsort

Sem. R. DB gelb 04
1040 Wien

 

Veranstalter

VADOR
vador@tuwien.ac.at

 

Öffentlich

Nein

 

Kostenpflichtig

Nein

 

Anmeldung erforderlich

Nein