Student Analysis Date:  Thursday, September 27, 2012 Location:  2866 East Hall (5:10 PM to 6:00 PM) Title:  Dissecting Intersection Bodies: A Painless Introduction Abstract:   In 1956, Busemann and Petty posed the following problem: if the volumes of all the hyperplane sections through the origin of one centrally symmetric convex body are smaller than that of another such body, is its volume also smaller? A unified solution to this problem (1999) was obtained using intersection bodies. In this talk, I will introduce them, discuss a Fourier-analytic characterization, mention some examples and indicate their connection with the Busemann-Petty problem. Speaker:  Purvi Gupta Institution:  UM Event Organizer:   Purvi Gupta      Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.