Algebra Seminar
Mihai Fulger, University of Connecticut
Infinitesimal successive minima and convex geometry
4:00PM, 250 Mathematics Building
We introduce infinitesimal successive minima of a line bundle at a point. We define them in terms of base loci and show that they are also the lengths of the largest simplex contained in the generic infinitesimal Newton-Okounkov body (iNObody) of the line bundle at the point. We characterize when the generic iNObody is simplicial. When the point is sufficiently general, we prove that the body is Borel-shaped, a property inspired by generic initial ideals. In particular, it satisfies simplicial lower bounds and polytopal upper bounds determined by its widths, which are again the infinitesimal successive minima. This is joint work with Victor Lozovanu
Applied Math Seminar
Di Qi (Purdue University)
4:00PM
Applied Math Seminar
Yulong Lu (U Minnesota)
4:00PM