Speaker: Karim Boustany
University of Notre Dame
Will give a PhD Defense entitled:
Packing Integral Tori in Del Pezzo Surfaces
Abstract: Examination Committee: Richard Hind, Advisor Misha Gekhtman Pavel Mnev Ely Kerman, UIUC We extend a packing result of R. Hind and E. Kerman for integral Lagrangian tori in 𝕊2×𝕊2 to the Del Pezzo surfaces (𝔻n,ω𝔻n) for n=1,…,5. An integral torus is one whose relative area homomorphism is integer-valued, and we seek a maximal integral packing. By definition, this is a disjoint collection {Li} of integral Lagrangian tori with the following property: any other integral Lagrangian torus not in this collection must intersect at least one of the Li. We show that one can always find such a packing consisting of only the Clifford torus.
Date: 04-05-2024
Time: 3:00 pm
Location: 231 Hayes-Healy Bldg