Schedule and Abstracts

                       Saturday, April 22

   8:00 - 9:00 Breakfast & Registration  (Morrill 109)

  9:00 - 10:00 Alexander Koldobsky

10:00 - 11:00 Alina Stancu

11:00 - 11:30 Coffee Break  

11:30 - 12:30 Dmitry Ryabogin

    12:30- 2:00        Lunch 

     2:00 - 3:00 Elisabeth Werner

     3:00 - 4:00 Poster Session & Coffee Break

     4:00 - 5:00 Open Problems Discussion

   Sunday, April 23

     8:00- 9:00 Breakfast (Morril 109)

  9:00 - 10:00 Alexander Koldobsky

 10:00 - 11:00 Elisabeth Werner

 11:00 - 11:30 Coffee Break  

 11:30 - 12:30 Dmitry Ryabogin

Titles and abstracts: 

• Alexander Koldobsky: Comparison inequalities for sections of convex bodies

Abstract: We review the main features of the Fourier analytic approach to the study of sections of convex bodies.

• Dmitry Ryabogin: On bodies with symmetric sections.

Abstract: We will prove a result by Christos Saroglou and Sergii Myroshnychenko, stating that a convex origin-symmetric body in R^n, n≥ 3, with central sections having symmetries of a cube, must be a Euclidean ball. We will also discuss some results on floating bodies related to the above problem.

• Alina Stancu: On some characterizations of ellipses and certain affine invariants 

Abstract: Using the plane as a gentle introduction to some affine invariants of convex bodies, we will discuss a question of convex geometry that is still open in all generality, in all dimensions, and a solution to a particular case of that question in two dimensions. 

• Elisabeth Werner:  Affine surface area and floating bodies

Abstract: For a convex body one can define, in analogy to  the classical surface area,  a notion of an affine surface area. We will show that this can be done via the floating body. We discuss properties of the floating body and the resulting affine surface area. In particular, similar to the classical Isoperimetric inequality, an affine Isoperimetric inequality holds.