On Dilated Covering Number of a Convex Body

Series: 
Research Horizons Seminar
Wednesday, March 30, 2016 - 12:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Mathematics, Georgia Institute of Technology
,  

Food and Drinks will be provided before the seminar.

We shall introduce and discuss several notions from classical Convex geometry. In particular, covering number, separation number and illumination number shall be defined and explored. Another parameter, which has been studied in the recent years, the dilated covering number of a convex set shall be introduced. We shall present best known estimate on this number, which is a part of a joint work with K. Tikhomirov.