Speaker: Patrick Guidotti (Department of Mathematics, University of California, Irvine) Title: Connecting the dots Abstract: We revisit the well-known kernel method of interpolation and, by taking a slightly unusual point view, show how it can be used (and modified in a natural way) for the purpose of gaining insight into the (geometric) structure of scattered data

Speaker: Jiuyi Zhu (Department of Mathematics, Louisiana State University) Title: Bounds of nodal sets of eigenfunctions Abstract: Motivated by Yau's conjecture, the study of the measure (sizes) of nodal sets (zero-level sets) of  eigenfunctions has been attracting much attention.  We investigate the nodal sets of Steklov eigenfunctions, Neumann eigenfunctions, and Dirichlet eigenfunctions in the domain