The PIMS Postdoctoral Fellow Seminar: Sergii Myroshnychenko (Online)

  • Date: 11/04/2020
Lecturer(s):

Sergii Myroshnychenko

 

Bio:

Sergii Myroshnychenko is a PIMS PDF (2019) in the Convex Geometry group at the University of Alberta. He obtained his Ph.D. from Kent State University in 2017 under the supervision of Dmitry Ryabogin. Sergii's main scientific interests lie in Convex and Discrete Geometry and related topics of Probability Theory.

Location: 

Online

Topic: 

Shape recognition of convex bodies

 

Abstract:

A broad class of convex geometry problems deals with questions on retrieval of information about (convex) sets from data about different types of their projections, sections, or both. Examples of such assumptions are volume estimates, rigidity of structure, symmetry conditions etc.

In this talk, we will discuss known results and recent developments regarding the dual notions of point-projections and non-central sections of convex bodies. In particular, we provide a partial affirmative answer to the question on a shape recognition posed by A. Kurusa, and discuss a generalization of V. Klee's theorem for polyhedra.

Description: 

 

 

This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series.

 

This event took place via zoom and a recording is available on mathtube.org. To learn about other events in this series and to receive connection details, please register for the event mailing list.

Schedule: 

This seminar takes places across multiple timezones: 9:30 AM Pacific/ 10:30 AM Mountain / 11:30 AM Central

Other Information: