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Recent Development around Atiyah Floer Conjecture

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...

Non-stationary Time Series Analysis

Description The course covers modeling, estimation and inference of non-stationary time series from a state-of-the-art statistical perspective. In particular...

Geometric Foundations for Metaverse

Course Title: Geometric Foundations for Metaverse Instructor: Dr. Xianfeng Gu University: Stony Brook University Prerequisite:linear algebra, multivariate c...

Methods and Theory on Model Selection and Model Averaging (Continued)

Description: We will continue from the previous lectures and mainly focus on two topics: 1. Demonstrations of model selection and model averaging methods wit...

Thermodynamics and Statistical Mechanics

Course Description:  We shall discuss basic concepts of thermodynamics and statistical mechanics. Attention will be paid to phase transitions and critical ph...

Recent developments on metric measure spaces with Ricci curvature bounded below

Description In [13, 14, 15], Cheeger-Colding established the deep structure theory on Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvat...

Recent developments in Seiberg-Witten theory

Description: In 1994, Witten [12] introduced a non-linear partial differential equation on a 4-manifold, called the Seiberg-Witten equations today. This PDE ...

Quantization proof of the uniform Yau-Tian-Donaldson conjecture

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...

A brief introduction to Kahler-Ricci flow and Kahler-Ricci solitons

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...

Introduction to Information Geometry

Description This short course will give a comprehensive introduction to the emerging interdisciplinary field of Information Geometry.  Information Geometry p...

Mini-course on Springer theory for double affine Hecke algebras (1/3)

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...

​BIMSA-YMSC Geometry and Dynamics Seminar

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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