More about HKUST
7 May 2022
Seminar, Lecture, Talk
Department of Mathematics - PhD Student Seminar - Realization of Algebraic Families of Harish-Chandra Modules in the Hydrogen Atom
The Harish-Chandra module plays an essential role in the study of representation theory, and its family version is introduced by Joseph Bernstein in an algebro-geometric way.
6 May 2022
Seminar, Lecture, Talk
Department of Mathematics - PhD Student Seminar - Geometric construction of Shuffle Algebra acting on Moduli Spaces of Stable Sheaves on Surfaces
Geometric representation theory contains various realizations of representation some infinite dimensional Lie algebras in geometric ways.
6 May 2022
Seminar, Lecture, Talk
Department of Mathematics - PhD Student Seminar - Overparametrized Model and Adversarial Robustness
Deep neural networks can predict well even when fitting noisy data. The phenomenon is called benign overfitting.
6 May 2022
Seminar, Lecture, Talk
Department of Mathematics - Seminar on PDE - Dynamics of concentrated vorticities in 2D and 3D Euler flows
A classical problem that traces back to Helmholtz and Kirchhoff is the understanding of the dynamics of solutions to the Euler equations of an inviscid incompressible fluid when the vorticity of the solution is initially concentrated near isolated points in 2d or vortex
6 May 2022
Seminar, Lecture, Talk
Department of Mathematics - PhD Student Seminar - Equality of cluster and upper cluster algebras from moduli space of G-local systems
The cluster algebras A
6 May 2022
Seminar, Lecture, Talk
Department of Mathematics - PhD Student Seminar - Stochastic Continuum Models for High-Entropy Alloys with Short Range Order
In this paper, we establish stochastic elastic model and stochastic Peierls--Nabarro (PN) model with short range order (SRO) in high--entropy alloys (HEAs).
6 May 2022
Seminar, Lecture, Talk
Department of Mathematics - Seminar on Statistics - A Polynomial Algorithm for Best Subset Selection
Best subset selection aims to find a small subset of predictors that lead to the most desirable and pre-defined prediction accuracy in a linear regression model.
5 May 2022
Seminar, Lecture, Talk
Department of Mathematics - PhD Student Seminar - Precision Matrix Estimation in Gaussian Graphical Model
In this era of big data, quantifying relationships between different components of a complex system is an appealing and challenging problem.
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