|Date: Thursday, December 07, 2017
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: Asymptotic Syzygies in the Semi-Ample Setting
Abstract: In recent years numerous conjectures have been made describing the asymptotic Betti numbers of a projective variety as the embedding line bundle becomes more ample. I will discuss recent work attempting to generalize these conjectures to the case when the embedding line bundle becomes more semi-ample. (Recall a line bundle is semi-ample if a sufficiently large multiple is base point free.) In particular, I will discuss how the monomial methods of Ein, Erman, and Lazarsfeld for proving non-vanishing results on projective space can be extended to prove non-vanishing results for products of projective space.
Speaker: Juliette Bruce
Institution: University of Wisconsin-Madison