Web2 HANNAH ALPERT scalar curvature, is false for macroscopic scalar curvature, as we discuss in Propositions 4 and 5 at the end of the paper. In higher dimensions, comparing the scalar curvature to that of Hn−1 ×R gives a comparison between the (n−1)–dimensional area of a 2–sided stable minimal hypersurface and its Yamabe invariant [CG01 ... WebOct 6, 2015 · Title: Morse broken trajectories and hyperbolic volume Speaker: Hannah Alpert (MIT) Abstract: A large family of theorems all state that if a space is topologically complex, then the functions on that space must express that complexity, for instance by having many singularities.
Topology Seminar - Hannah Alpert Department of Mathematics
WebMar 12, 2024 · A decades-old application of the second variation formula proves that if the scalar curvature of a closed 3--manifold is bounded below by that of the product of the hyperbolic plane with the line, then every 2--sided stable minimal surface has area at least that of the hyperbolic surface of the same genus. We can prove a coarser analogue of … WebHannah Alpert and I organized a workshop on Quantitative Geometry & Topology at Ohio State on April 27–28, 2024. Click through to see the abstracts and slides from the student lightning talks. ... Math 221A, (graduate point-set) Topology (Fall 2024) CCS Math 128 (an introduction to proof-based math in the College of Creative Studies, Fall 2024) dobavili smo
arXiv:1712.04545v1 [math.DG] 12 Dec 2024
WebAlpert, Hannah: Massachusetts Institute of Technology: 2016: Balitskiy, Alexey: Massachusetts Institute of Technology: 2024: Berdnikov, Aleksandr: Massachusetts Institute of Technology: ... The Mathematics Genealogy Project is in need of funds to help pay for student help and other associated costs. WebHannah Alpert, a junior at the University of Chicago and a Goldwater scholar, approaches mathematics “with great conceptual understanding and a fierce tenacity.” Her … WebSpeaker: Hannah Alpert(Ohio State University) Abstract: The classical Kakeya needle problem asks, what is the infimal area of a region of the plane in which a unit segment can turn all the way around, perhaps translating as it does so? We can ask an analogous question for multiple segments in the unit disk. dobave in montaže elektronskih ključavnic