Monday November 13, 2017 4:00 PM - 5:00 PM Math Tower P-131

Isabel Vogt, Massachusetts Institute of Technology Interpolation problems for curves in projective space

In this talk we will discuss the following question: When does there exist a curve of degree $d$ and genus $g$ passing through $n$ general points in $\mathbb{P}^r$?

Monday November 13, 2017 5:00 PM Math Tower P-131

Eric Larson, Massachusetts Institute of Technology The Maximal Rank Conjecture

We find the Hilbert function of a general curve of genus $g,$
embedded in $\mathbb{P}^r$ via a general linear series of degree $d.$ Note that Isabel Vogt's talk directly before will be a pre-requisite for this talk.