Math Department
Applied Math Seminar – Duy Nguyen (Marist College)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle : Nonparametric density estimation by B-spline duality Abstract: In this talk, we propose a new nonparametric density estimator derived from the theory of frames and Riesz bases. In particular, we propose the so-called bi-orthogonal density estimator based on the class of B-splines and derive its theoretical properties, including the asymptotically optimal choice of bandwidth.
Analysis Seminar – Simon Bortz (University of Washington)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Sobolev contractivity of the gradient flow maximal function Abstract: In 2013, Carneiro and Svaiter showed that the heat flow maximal function is contractive in $\dot{W}^{1,2}(\mathbb{R}^n)$ for $W^{1,2}(\mathbb{R}^n)$ functions. In other words, if $K_t$ is the heat kernel then $u_*(x) = \sup_{t > 0} (K_t \ast |f|)(x)$ for some $f \in W^{1,2}(\mathbb{R}^n)$ then $\|\nabla u_*\|_{L^2(\mathbb{R}^n)}
Algebra/Topology Seminar – Kyungyong Lee, University of Alabama
206 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Introduction to cluster algebras
Applied Math Seminar – Sergei V. Gleyzer, University of Alabama
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: The Interplay between Deep Learning and Physics Abstract: In my talk, I will discuss the interplay of deep learning and physics. I will focus on both foundational and applied topics, including examples of machine learning applications in high-energy physics. I will discuss interpretability, learning methodology, end-to-end learning, incorporation of physical laws in model building
Analysis Seminar – David Cruz-Uribe (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Matrix Ap weights, degenerate Sobolev spaces, and mappings of finite distortion of finite distortion.
Colloquium – Jianlin Xia (Purdue University)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTopic: Fast Solutions of Large Linear Systems and Eigenvalue Problems by Exploring Structures Abstract: Solving large linear systems and eigenvalue problems remains to be the key computational tasks in scientific computing, data processing, and engineering simulations. Practical numerical problems often introduce various structures into the matrix representations. In this talk, we show the existence of
Applied Math Seminar – Aaron Yip, Purdue University
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Dynamics on Inhomogeneous Medium Abstract: By means of two examples: (i) an ODE for the dynamics of a particle and (ii) a PDE for the motion by mean curvature of a surface, I will discuss some results, questions and recent attempts in the study of dynamical equations in inhomogeneous environment.
Analysis Seminar – Kabe Moen (University of Alabama)
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Connections between commutators and weighted inequalities Abstract: I will cover the Cauchy integral approach to the boundedness of commutators of Calderon-Zygmund operators and BMO functions. I spoke about this approach and proved the basic commutator theorem of Coifman-Rochberg-Weiss in the fall of 2017. In this talk I will go over some powerful extensions and
Analysis Seminar – Chenchen Mou, UCLA
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Weak Solutions of Mean Field Game Master Equations. Abstract: In this talk we study master equations arising from mean field game problems, under the crucial monotonicity conditions. Classical solutions of such equations require very strong technical conditions. Moreover, unlike the master equations arising from mean field control problems, the mean field game master equations are
Colloquium in Honor of Hispanic Heritage Month – Ivelisse Rubio, University of Puerto Rico
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: The covering method: an intuitive approach to the computation of p-divisibility of exponential sums Abstract: Exponential sums over finite fields are an important tool for solving mathematical problems and have applications to many other areas. However, some of the methods and proofs of the results are non-elementary. The main purpose of this talk