The PiFORUM is an annual conference aimed at women and underrepresented genders within mathematics and related disciplines. This year it will be hosted by the University of Leicester on 2nd - 3rd September.
The two days will include a mini-symposium on Equality, Diversity and Inclusion, a series of contributed talks, a poster competition, two workshops and,of course, plenty of social time to meet everyone in our community.
Gotzmann's regularity and persistence theorems provide tools which allow us to find explicit equations for the Hilbert scheme Hilb_P(P^n). A natural next step is to generalise these results to the multigraded Hilbert scheme Hilb_P(X) of a smooth projective toric variety X. In 2003 Maclagan and Smith generalise Gotzmann's regularity theorem to this case. We present new persistence type results for the product of two projective spaces, and time permitting discuss how these may be applied to a more general smooth projective toric variety.