Speaker: Matthew Hedden (Michigan State University) Title: Knot theory and complex curves Abstract: The modern study of knots and links has important roots in the theory of algebraic curves, where links encode subtle features of singularities. The interaction between links in 3-dimensional manifolds and algebraic curves in complex surfaces continues to be a rich source…Continue Reading 11-21-2024: Matthew Hedden, “Knot theory and complex curves”
Year: 2024
11-07-2024: Jason Cantarella, “The Riemannian Geometry of Polygons and Polymers”
Speaker: Jason Cantarella (University of Georgia) Title: The Riemannian Geometry of Polygons and Polymers Abstract: Biopolymers like DNA and proteins and biopolymer networks like collagensurround us, but many of their features remain surprisingly poorly understood. In this talk, we discuss how the geometry of configuration spaces provides a theoretical framework for understanding polymer and network…Continue Reading 11-07-2024: Jason Cantarella, “The Riemannian Geometry of Polygons and Polymers”
10-31-2024: Avishek Chakraborty, “Efficient Spatial Models for Datasets over Large Lattices”
Speaker: Avishek Chakraborty (University of Arkansas) Title: Efficient Spatial Models for Datasets over Large Lattices Abstract: In this talk, we shall focus on spatial models where association depends on adjacency instead of distance. Such models have broad applicability including datasets indexed by geographical units or observations connected through a graph or network. Depending on the…Continue Reading 10-31-2024: Avishek Chakraborty, “Efficient Spatial Models for Datasets over Large Lattices”
10-03-2024: Ariel Barton, “Linear elliptic partial differential equations”
Speaker: Ariel Barton (University of Arkansas) Title: Linear elliptic partial differential equations Abstract: In this talk we will discuss some history and results for boundary value problems, that is, for functions that satisfy a differential equation in a domain and some conditions on its boundary. We will discuss suitable differential operators, specifically the Laplace operator…Continue Reading 10-03-2024: Ariel Barton, “Linear elliptic partial differential equations”
09-12-2024: Matt Day, “On some groups related to braiding”
Speaker: Matt Day (University of Arkansas) Title: On some groups related to braiding Abstract: We will discuss braiding from a mathematical perspective, and define somediscrete groups that are related to braids. We will state some classical theoremson these groups, and build up to recent results and questions. Nospecial background will be assumed. Diagram Credit: Trevor…Continue Reading 09-12-2024: Matt Day, “On some groups related to braiding”