Math Department
Algebra/Topology Seminar – Marco Trombetti (University of Naples Federico II)
ZoomTitle: Abstract Infinite Group Theory in Linear Groups. Abstract: It is a classical result that the commutator subgroup of a group $G$ is finite whenever such is the factor group $G/Z(G)$. In general, this result cannot be reverted: there are (soluble) groups with a finite commutator subgroup but an infinite factor over the centre. However,
Analysis Seminar – Olli Saari (University of Bonn)
ZoomTitle: On the weak differentiability of the fractional maximal function Abstract: The fractional maximal functions are comparable in Lp size to the Riesz potentials of same order. Its smoothing properties are however more subtle. In this talk, I will discuss Sobolev regularity of fractional maximal functions on the Euclidean n-space as well as on bounded
Math Ed Get Together
ZoomMartha Makowski and Jim Gleason will be hosting a Math Ed get together meeting to answer questions , check in and talk about the research that is going on in the department.
Analysis Seminar – Christos Grigoriadis (Michigan State University)
ZoomTitle: Necessary and sufficient conditions in weighted theory Abstract: Starting with the L^p boundedness of the Hilbert transform by Riesz in 1928 we go through the development of weighted theory. First Muckenhoupt and the necessary and sufficient A_p condition for one weight inequalities, then Sawyer with the testing conditions on two weight inequalities leading up
Applied Math Seminar – Libin Rong (University of Florida)
ZoomTITLE: Recent developments in modeling HIV infection and treatment ABSTRACT: HIV infection is still a serious public health problem in the world. Highly active antiretroviral therapy can suppress viral replication to a very low level but cannot eradicate the virus. Mathematical models, combined with experimental data, have provided important insights into HIV dynamics, immune responses, and drug
Applied Math Seminar – Yuan Chen (Michigan State University)
ZoomTITLE: Geometry of curve lengthening membranes. ABSTRACT: In this talk, I’ll present rigorous results of the transient evolution of bilayer interfaces evolving of the mass preserving L^2-gradient flow of the functionalized Cahn-Hilliard equation. The proof is based on energy modulated method, which requires a construction of slow manifold – bilayer manifold, composed of approximated solutions dressed around
Analysis Seminar – Simon Bortz (University of Alabama)
ZoomSimon Bortz is going to talk about the ideas in a recent paper which can be found at https://arxiv.org/abs/2008.11544. Roughly speaking, the talk will be about how a quantitative approximation scheme, in fact, gives a form of quantitative coincidence. The main theorem has some nice applications (e.g. transference of boundedness of singular integrals and `geometric
Applied Math Seminar – Ben Jones (University of Alabama)
ZoomTITLE: Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface ABSTRACT: This work further improves the pseudo-transient approach for the Poisson Boltzmann equation (PBE) in the electrostatic analysis of solvated biomolecules. The numerical solution of the nonlinear PBE is known to involve many difficulties, such as exponential nonlinear term, strong singularity by the source
Analysis Seminar – Alyssa Genschaw (University of Connecticut)
ZoomTitle: Solvability of the Dirichlet Problem with L^p Data for Caloric Measure Abstract: This talk concerns two probability measures. First, we consider harmonic measure, which gives solutions to the Dirichlet problem associated to Laplace's equation. Additionally, we may view harmonic measure as the “hitting probability" for Brownian motion. This probabilistic interpretation shows the connection between
Algebra/Topology Seminar – Ina Petkova (Dartmouth College)
ZoomTitle: A contact invariant from bordered Heegaard Floer homology Abstract: Given a contact structure on a bordered 3-manifold, we describe an invariant which takes values in the bordered sutured Floer homology of the manifold. This invariant satisfies a nice gluing formula, and recovers the Oszvath-Szabo contact class in Heegaard Floer homology. This is joint work