The cellular homologies of digraphs
Organizers
Speaker
Time
Thursday, May 23, 2024 2:30 PM - 3:30 PM
Venue
A3-4-101
Online
Zoom 928 682 9093
(BIMSA)
Abstract
In this talk, first I will review the definition of singular cubic homologies of digraphs developed by Grigoryan, Jimenez and Muranov. Based on some geometric/topological consideration and some results on the GJM's work, I will define the cellular homologies of digraphs in terms of the so-called admissible pairs and admissible relations. Also I will give several examples and properties of such homology theory. Finally, I will talk about some relations between cellular homologies and singular cubic homologies of digraphs and give some questions. This talk is based on the joint work with S.-T. Yau.
Speaker Intro
Xinxing Tang, received a bachelor's degree in basic mathematics from the School of Mathematics, Sichuan University in 2013, and received a doctorate from Beijing International Center for Mathematical Research, Peking University in 2018. From 2018 to 2021, she worked as a postdoctoral fellow at the Yau Mathematical Sciences Center, Tsinghua University, and joined Beijing Institute of Mathematical Sciences and Applications in 2021 as assistant professor. Research interests include: integrable systems, especially infinite-dimensional integrable systems that appear in GW theory and LG theory, and are interested in understanding the algebraic structure of infinite symmetries and related calculations. Other interests include: mixed Hodge structures, isomonodromic deformation theory, KZ equations.