Special Lecture: Stepan Paul (UCSB), 'Gathering Data on P^n [projective space]: Based Linear Systems and Veronese Embeddings'

Event Date: 

Thursday, May 23, 2013 -
1:00pm to 2:00pm

Event Location: 

  • 6635 South Hall

Event Contact: 

Stepan Paul

Email: spaul@math.ucsb.edu

Abstract: The talk will take place in two parts. The first part is really about linear systems on projective space, but I will approach the problem from its application to interpolating data with polynomials in several variables. My goal is to make this part of the talk accessible at an undergraduate level. The second part deals with the minimal graded free resolutions of Veronese modules; ones which arise from a natural construction in algebraic geometry. I will give a proof of a certain duality theorem which requires only simplicial topology.