Events
Geometry and Topology Seminar
Geometry and Topology Seminar: Ao Sun, Lehigh University, Interpolation method in mean curvature flow
ZoomThe interpolation method is a very powerful tool to construct special solutions in geometric analysis. I will present two applications in mean curvature flow: one is constructing a new genus…
Geometry and Topology: Peter McGrath, NC State, New Minimal Surfaces in B^3
SAS 4201A fundamental question in Differential Geometry which has spurred much recent work is whether every orientable compact surface with boundary can be minimally embedded in the Euclidean 3-ball with free…
Geometry and Topology Seminar: Antti Kykkänen, University of Jyväskylä, Finland, Geometry of gas giant planets and inverse problems
SAS 3282In this talk, I will introduce a novel Riemannian geometric model for wave propagation in gas giant planets. Terrestrial planets and gas giants have one key difference: in gas, density…
Geometry and Topology Seminar: Tony Liimatainen, University of Helsinki, Finland, Geometric inverse problems and inverse problems for the minimal surface equation
ZoomWe start by giving a short introduction to geometric inverse problems. Then we present our recent results regarding inverse problems for the minimal surface equation. Minimal surfaces are solutions to…
Geometry and Topology Seminar: Peter J. Olver, University of Minnesota, Structure and Generators of Differential Invariant Algebras
SAS 1216The structure of algebras of differential invariants, particularly their generators, is based on the symbolic invariant calculus provided by the method of equivariant moving frames. I will discuss a new…
Geometry and Topology Seminar: Adam Lowrance, Vassar College, The average value of invariants of 2-bridge knots.
ZoomWe show how to use continued fraction representations of 2-bridge knots to compute the average value of different invariants of the set of 2-bridge knots with fixed crossing number c.…
Geometry and Topology Seminar: Thomas Wears, Longwood University, The Ricci Flow on Three-Dimensional Metric Lie Algebras
SAS 4201A metric Lie algebra is a real Lie Algebra with an inner product. In this talk, we will outline a complete classification of all three-dimensional metric Lie algebras up to…
Geometry and Topology Seminar: Salem Selim, UC Irvine, Partial data inverse problems for magnetic Schrödinger operators with potentials of low regularity.
SAS 4201In this talk we discuss partial data inverse boundary problems for magnetic Schrödinger operators on bounded domains in the Euclidean space as well as some Riemannian manifolds with boundary. In…
Geometry and Topology Seminar: Davi Maximo, University of Pennsylvania, Rigidity and flexibility of scalar curvature
SAS 4201In this talk, I will go through some old and new results concerning the rigidity and flexibility of scalar curvature.
Geometry and Topology Seminar: Tye Lidman, NC State, Cosmetic surgeries and gauge theory
SAS 4201The famous knot complement theorem of Gordon and Luecke states that two knots in the three-sphere are equivalent if and only if the complements are homeomorphic. This was proved more…
Geometry and Topology Seminar: Irina Kogan, NC State, An Introduction to Computational Invariant Theory (Part I)
SAS 4201Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types…
Geometry and Topology Seminar: Irina Kogan, NC State, An Introduction to Computational Invariant Theory (Part II)
SAS 4201Invariants withstand transformations and, therefore, represent the essence of objects or phenomena. In mathematics, transformations often constitute a group action. Since the 19th century, studying the structure of various types…
Geometry and Topology: Teemu Saksala, NC State, Hyperbolic inverse problems with time dependent and time independent coefficients
SAS 4201In this talk we will discuss the differences in the methodology of determining time-dependent and time-independent coefficients appearing in a hyperbolic equation in a Riemannian manifold. The talk is based…
Geometry and Topology Seminar: James Kolesar, NC State, Shape Optimization and the First Laplace Eigenvalue
SAS 4201In this talk, I will explore the relationship between a domain's shape and its first Laplace eigenvalue, with emphasis on the domains which minimize, or are more generally critical points,…
Geometry and Topology Seminar: Hunter Stufflebeam, University of Pennsylvania, Stability and Scalar Curvature Lower Bounds
SAS 4201In recent years much attention has turned to rigidity, and almost-rigidity, problems involving lower scalar curvature bounds. In this talk, I'll discuss some contributions to this area, including some new…
Geometry Topology Seminar: Tye Lidman, NC State, 3-manifolds in symplectic 4-manifolds
SAS 4201Symplectic manifolds show up in many areas of mathematics, including topology, geometry, representation theory, and dynamics. In the talk I will give an introduction to symplectic manifolds and then discuss…
Geometry and Topology Seminar: Eric Hanson, NC State, Topological data analysis via relative homological algebra
SAS 4201One of the main approaches to topological data analysis is to study discrete invariants of (multiparameter) persistence modules. In this talk, we discuss recent research which utilizes techniques from (relative)…
Geometry and Topology Seminar: François Monard, UC Santa Cruz, The geodesic X-ray transform and boundary behavior
SAS 4201On a Riemannian manifold with boundary, the X-ray transform integrates a function or a tensor field along all geodesics through the manifold. The reconstruction of the integrand of interest from its X-ray transform is the basis of…
Geometry and Topology Seminar: Andrew Shedlock, NC State, Lipschitz Stability of Travel Time Data
SAS 4201The travel time map of a compact length space with a closed measurement set takes any point of the space to the function which measures the distance from this point…