- Series
- High Dimensional Seminar
- Time
- Wednesday, September 18, 2019 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Han Huang – Georgia Tech – hhuang421@gatech.edu – http://math.gatech.edu/people/han-huang
- Organizer
- Galyna Livshyts
We study the subject of approximation of convex bodies by polytopes in high dimension.
For a convex set K in R^n, we say that K can be approximated by a polytope of m facets by a distance R>1 if there exists a polytope of P m facets such that K contains P and RP contains K.
When K is symmetric, the maximal volume ellipsoid of K is used heavily on how to construct such polytope of poly(n) facets to approximate K. In this talk, we will discuss why the situation is entirely different for non-symmetric convex bodies.