Some projective distance inequalities for simplices in complex projective space | Department of Mathematics
  1. Home
  2. Some projective distance inequalities for simplices in complex projective space

Some projective distance inequalities for simplices in complex projective space

Event Information
Speaker: 
Mark Fincher (UNT; undergraduate)
Event Location: 
GAB 461
Event Date: 
Friday, September 26, 2014 - 12:00pm

Speaker: Mark Fincher (UNT; undergraduate)

Category: RTG Informal Mathematics Research Problem Session

Event Date: 09-26-2014 12:00-12:50 PM

Event Location: GAB 461

Title: Some projective distance inequalities for simplices in complex projective space

Abstract: We investigate a relationship between the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes of the opposite faces of the simplices in complex projective n-space whose vertices or faces are determined by the given vectors. The relationship, which is two inequalities, will be examined in the 3 dimensional case, then explained in general.