Home /  AGRS Research Seminar Series: Projection Theorems for Linear-Fractional Families of Projections

Seminar

AGRS Research Seminar Series: Projection Theorems for Linear-Fractional Families of Projections February 02, 2022 (02:00 PM PST - 02:50 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Annina Iseli (University of California, Los Angeles)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

AGRS Research Seminar: Projection Theorems For Linear-Fractional Families Of Projections
Abstract/Media

To participate in this seminar, please register HERE.

Marstrand’s theorem (1954) states that given a Borel set  in the Euclidean plane, the Hausdorff dimension of the image of A under the orthogonal projection onto a line L equals the smaller of 1 and dimA, for almost every line L that contains the origin. This theorem has since been generalized to higher dimensions as well as to various different spaces that carry natural families of projection mappings.

In the first part of this talk, I will recall some of these generalizations and the different methods used to proving them. In the second part, I am going to present some recent (joint with A. Lukyanenko) about projection theorems for families of projections that are induced by either Möbius transformations or real linear fractional transformations.

92476?type=thumb Projection Theorems for Linear-Fractional Families of Projections 682 KB application/pdf
92482?type=thumb Seminar Series Description 50.6 KB application/pdf

AGRS Research Seminar: Projection Theorems For Linear-Fractional Families Of Projections