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Note: The lecture on Mar. 6 has been moved to 9:50-11:25 am, Mar. 7. Description: Floer defined Floer homology in two different cases. One is the case of I...
Description The course covers modeling, estimation and inference of non-stationary time series from a state-of-the-art statistical perspective. In particular...
Course Title: Geometric Foundations for Metaverse Instructor: Dr. Xianfeng Gu University: Stony Brook University Prerequisite:linear algebra, multivariate c...
Description: We will continue from the previous lectures and mainly focus on two topics: 1. Demonstrations of model selection and model averaging methods wit...
Course Description: We shall discuss basic concepts of thermodynamics and statistical mechanics. Attention will be paid to phase transitions and critical ph...
Description In [13, 14, 15], Cheeger-Colding established the deep structure theory on Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvat...
Description: In 1994, Witten [12] introduced a non-linear partial differential equation on a 4-manifold, called the Seiberg-Witten equations today. This PDE ...
Description: Searching for canonical metrics on a Kahler manifold is an important topic in geometric analysis. The canonical metrics we will be focusing on a...
Description This mini course aims to give a brief introduction to K\"ahler-Ricci (KR) flow and KR solitons on Fano manifolds. We will present a short proof o...
Description This short course will give a comprehensive introduction to the emerging interdisciplinary field of Information Geometry. Information Geometry p...
Abstract: In this first lecture, I will review the Springer theory of equivariant perverse sheaves on graded Lie algebras, mostly due to Lusztig in the 80s a...
Upcoming Talk: Date and Time: May 28 (Wednesday) at 9:00-10:00am Zoom Meeting ID: 815 762 8413 (Passcode: BIMSA) Speaker: Chao-Ming Lin (Ohio State Universi...
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