- Institut
- Webseiten im Uni-Auftritt
- Zur Startseite
- Forschung
- Konferenzen und Workshops
- Seminare
- Lehre
- Service
- IT
- Zur Startseite
- Dokumentation
- Service und Webdienste
- Software etc.
- E-Mail am Institut (nur alte Accounts)
- E-Mail an der Universität
Termin: Detail
Paul Breiding (MPI MIS, Leipzig): The Zonoid Algebra, Mixed Volumes and Random Determinants (Part 2)
Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, E1 05 (Leibniz-Saal)
I will introduce the zonoid algebra. Starting from the monoid structure of zonoids in a d-dimensional real vector space I will explain how to turn this structure into an algebra, where we can “multiply” zonoids. More specifically, I will show that every multilinear map between finite dimensional vector spaces has a unique, continuous, Minkowski multilinear extension to the corresponding space of zonoids. Taking the wedge product of vector spaces as the multilinear map, we get a definition of the wedge of zonoids. This is the definition of the product in our algebra. The motivation for this construction comes from probabilistic intersection theory in a compact homogeneous space, where the zonoid algebra plays the role of a probabilistic cohomology ring.
No Attachment
Beginn: 3. August 2021 14:00
Ende: 3. August 2021 16:00