Calendar
Posted June 5, 2026
Last modified June 22, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Huong Vo, Louisiana State University
Continuing our Discussion of Contact Geometry
Join us on Mondays and Thursdays at 2:30pm for our continuing discussion of Contact Geometry. For more information or to sign up to present in the informal seminar, email Matthew Lemoine (mlemo36@lsu.edu).
Posted June 23, 2026
Computational Mathematics Seminar
10:00 am – 11:00 am DMC 1034
Rekha Khot, IIT Palakkad, Kerala, India
Virtual Element Methods for Plate Bending and Coupled Poroelastic Problems
Traditionally, the finite element analysis relies on meshes composed of simplicial elements (triangles in 2D and tetrahedra in 3D). Over the past decade, significant progress has been made in the development of discretization techniques based on polytopal meshes (polygonal in 2D and polyhedral in 3D), motivated by their flexibility in handling complex geometries, adaptive mesh refinement, and a unified framework. Among several approaches, this talk focuses on the Virtual Element Method (VEM). Thin plate models are governed by fourth-order PDEs. We first discuss conforming and nonconforming VEM for a simple biharmonic problem. In particular, we present various smoothing operators that connect nonconforming spaces to conforming ones, enabling the treatment of a discrete rough source term and/or the quantification of nonconformity error. We then consider a coupled mixed-dimensional (3D–2D) bulk–surface model describing the interaction between a free fluid and a poroelastic plate. The bulk flow is governed by the Stokes Equation, while the surface dynamics are described by the Biot–Kirchhoff Poroelastic Plate. We discuss the main ideas in analyzing the model and highlight its applicability.
Posted June 12, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Adithyan Pandikkadan, Louisiana State University
TBD
TBD
Posted June 5, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Adithyan Pandikkadan, Louisiana State University
Continuing our Discussion of Contact Geometry
Join us on Mondays and Thursdays at 2:30pm for our continuing discussion of Contact Geometry. For more information or to sign up to present in the informal seminar, email Matthew Lemoine (mlemo36@lsu.edu).
Posted July 3, 2026
Applied Analysis Seminar Questions or comments?
3:30 pm Lockett Hall 233
Yi-Sheng Lim, TX A&M
An operator approach to higher-order periodic homogenization of elliptic systems
The operator-asymptotic approach was introduced by Lim-Žubrinić for the homogenization of an εZ^d-periodic composite media. We demonstrate that this method can be extended to obtain higher-order convergence rates for elliptic systems. This is notable as it belongs to the class of "spectral methods", and yet does not rely on analytic perturbation theory, which is the main ingredient for these methods. In particular, we show that under certain class of well-prepared data, namely the "Bloch approximation" of vector-valued functions with compact Fourier support, the approach provides an expansion that yields an error of order ε^{n+1} in L2 and ε^n in H1, for any n. This is joint work with Josip Žubrinić (University of Zagreb).
Event contact: Stephen Shipman
Posted June 12, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Adithyan Pandikkadan, Louisiana State University
TBD
TBD
Posted June 5, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Adithyan Pandikkadan, Louisiana State University
Continuing our Discussion of Contact Geometry
Join us on Mondays and Thursdays at 2:30pm for our continuing discussion of Contact Geometry. For more information or to sign up to present in the informal seminar, email Matthew Lemoine (mlemo36@lsu.edu).
Posted June 5, 2026
Last modified July 13, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Matthew Lemoine, Louisiana State University
An Analysis of Brugada Syndrome using Cumulative Persistence Vectorization
In this talk, we will be discussing some ongoing work in Topological Data Analysis. This work is studying a specific cardiac arrhythmia, called Brugada Syndrome. We will also cover a vectorization method for the persistence diagram called Cumulative Persistence Vectorization.
Posted June 5, 2026
Informal Geometry and Topology Seminar Questions or comments?
2:30 pm Lockett Hall 233
Sayani Mukherjee, Louisiana State University
Continuing our Discussion of Contact Geometry
Join us on Mondays and Thursdays at 2:30pm for our continuing discussion of Contact Geometry. For more information or to sign up to present in the informal seminar, email Matthew Lemoine (mlemo36@lsu.edu).