Algebra/Topology Seminar – Hakan Doga (University of Buffalo)
ZoomTitle: A combinatorial description of the knot concordance invariant epsilon Abstract: Sitting at the intersection of 4-dimensional topology and knot theory, the knot concordance group is an important object in low-dimensional topology whose structure is not yet fully explored and understood. One approach to study knot concordance is to use knot Floer homology, introduced by
Analysis Seminar – Tuoc Phan (University of Tennesse, Knoxville)
ZoomTitle: Some recent results on L_p-theory for equations with singular and degenerate coefficients Abstract: We consider classes of elliptic and parabolic equations whose coefficients are singular or degenerate of the porotype $x_d^\alpha$ on the domain $\{x_d >0\}, where $\alpha$ is a real number. Two boundary conditions on \{x_d =0\}$ are studied: the homogeneous Diritchlet boundary
AWM 2021 Colloquium – Lisa Piccirillo (Massachusetts Institute of Technology)
ZoomAbstract: There is a rich interplay between the fields of knot theory and 3- and 4-manifold topology. In this talk, I will describe a weak notion of equivalence for knots called concordance, and highlight some historical and recent connections between knot concordance and the study of 4-manifolds, with a particular emphasis on applications of knot
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems - Part II ABSTRACT: We will continue with the discussion in Part I and derive the first and second variations of the nonpolar solvation energy of an implicit solvation model. Then in combining with some basic tools from Calculus of Variations, we will study the variations
Analysis Seminar – Selim Sukhtaiev (Auburn University)
ZoomTitle: Anderson localization for disordered graphs Abstract: In this talk, we will discuss a mathematical treatment of a disordered system modeling localization of quantum waves in random media. We will show that the transport properties of several natural Hamiltonians on metric and discrete trees with random branching numbers are suppressed by disorder. This phenomenon is
AWM Virtual Lunch and Learn
ZoomOur Virtual Lunch and Learn will be on Wednesday, February 24, 2021 at 12:00 p.m. Grab your lunch and join us via zoom to learn about the history of some women mathematicians. Topic: Virtual Lunch and Learn Zoom Meeting Time: Feb 24, 2021 12:00 PM Central Time (US and Canada)
Analysis Seminar – Hengrong Du (Purdue University)
ZoomTitle: Suitable weak solutions of the Ericksen--Leslie system for nematic liquid crystal flows Abstract: In this talk, we will discuss the Ericksen--Leslie system modeling the hydrodynamics of nematic liquid crystals. It is a strongly coupled PDE system between incompressible Navier--Stokes equations for the underlying fluid velocity field and gradient-flow-like equations for the director field describing
Colloquium – Lisa Traynor (Bryn Mawr)
ZoomTitle: Legendrian Torus and Cable Links Abstract: In contact topology, an important problem is to understand Legendrian submanifolds; these submanifolds are always tangent to the plane field given by the contact structure. In fact, every smooth knot type will have an infinite number of different Legendrian representatives. A basic problem is to give the “Legendrian
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems - Part III ABSTRACT: We will continue with the discussion in Part II and derive the first variation of the polar solvation energy of an implicit solvation model. In the rest of this series of talk, we aim at answering the question whether the minimizer of the