Real holomorphic sections of Deligne-Hitchin moduli spaces | BIMSAAG Seminar

Abstract The Deligne-Hitchin moduli space is the complex analytic reincarnation of the twistor space of thehyperkhler moduli space of solutions to the self-duality equations. Besides twistor lines

Persistent homology filtering of signals over graphs | BIMSA Topology Seminar

Abstract Persistent homology provides essential topological insights into datasets, representing eachtopological feature with an interval whose length, known as the feature's lifetime, represents

Optimization, Sampling, and Generative Modeling in Non-Euclidean Spaces

Molei Tao 陶默雷 Georgia Institute of Technology Molei Tao received B.S. in Math & Physics in 2006 from Tsinghua Univ. and Ph.D. in Control & Dynamical Systems with a minor in Physics in 2011 from

YMSC Probability Seminar | Extreme eigenvalues of random regular graphs

Abstract Extremal eigenvalues of graphs are of particular interest in theoretical computer science and combinatorics. Specifically, the spectral gap—the gap between the first and second largest

Aspects of analogue gravity and some related issues

Abstract The subject of analogue (or simulated) gravity has become a large area with the number of papers being of the order of a thousand. I will discuss a few types of analogues focussing on

Flat virtual links and knot invariants | Moscow-Beijing topology seminar

Abstract In the talk l will review a way of constructing invariants of knots in S^3, thickened torus andthickened cylinder that was introduced by V. O. Manturov and l. M. Nikonov. The idea is to ma...

Contractible 3-manifolds and Positive scalar curvature 2 | BIMSA-BlT Differential Geometry Semina...

Abstract In this lecture, we wil study contractible 3-manifolds and its relationship with positive scalarcurvature. For example, Whitehead manifold is a contractible 3-manifold, but not homomorphic

Moduli Spaces and Related Topics | Bridgeland Stability Conditions Applied to the Fargues–Fontai...

Abstract： Let $X$ be a not necessarily smooth Fano variety and denote by \Ku(X) the non-trivial semi-orthogonal component. The Categorical Torelli problem asks if \Ku(X) determines the isomorphism

明理求真 | 对清华大学西南联大时期社会学发展的自主学习

Algebra and geometry of electrical networks

Prerequisite Basic knowledge of linear algebra, group theory and topology. Introduction An electrical network is a graph with positive weights attached to the edges and a chosen subset of the set