Math Department
Analysis Seminar – Fernando Lopez-Garcia (Cal State Poly – Pomona)
ZoomTitle: A local-to-global method for inequalities in weighted Sobolev spaces. Abstract: In this talk, we will discuss a certain local-to-global technique with applications to inequalities in weighted Sobolev spaces, such as fractional Poincaré-type inequalities and Korn and conformal Korn inequalities. This technique is based on a certain decomposition of functions that extends the validity of the inequalities
Algebra/Topology Seminar – JungHwan Park (Georgia Institute of Technology)
ZoomTitle: On rationally slice knots Abstract: A knot in the three-sphere is called slice if it bounds a smooth disk in the four-ball. If one only requires the disk to be in a rational homology four-ball, then we say that the knot is rationally slice. We present a rationally slice knot which is not slice even
Analysis Seminar – Alejandro Vélez-Santiago (University of Puerto Rico)
ZoomTitle: The Robin problem over irregular domains Abstract: We will discuss the solvability and global regularity theory for the Laplace equation with Robin boundary conditions over classes of irregular domains which include non-Lipschitz domains and domains with fractal boundaries.
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