Seminar
Dynamics in Cortical Neurons: Regulation of cAMP-induced MMOs
Mappings minimizing the $L_p$ norm of the gradient
Abstract: Let $M$ and $N$ be two Riemannian manifolds. We will look at the set of $W^{1,p}$ mappings $u:M \to N$ having a fixed trace on boundary of $M$. Our goal is to study the map that minimizes the $L_p$ norm of the gradient, $\int |D u|^p$, among all such mappings. Hardt and Lin (1987) proved that a minimizer is locally Holder continuous outside a set of measure zero. In this talk, we will analyze the key steps involved in the proof of the result and do a quick introduction to the generalization of the result in fractional Sobolev spaces.
Quantitative level lowering for weight two Hilbert modular forms
Introduction to Algebraic Stacks
Vortex-carrying solitary gravity waves of large amplitude
Geometry of Independence
Connected components of the moduli space of L-parameters
Mathematics of Machine Learning
This seminar series covers topics ranging from the mathematical foundations of machine learning and data science to its applications. The speakers are encouraged to make the talks accessible to graduate students. New