You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Chung-Ping Lai (Oregon State University)<\/p>\n
\u201cReducing Complexes with Discrete Morse Theory\u201d<\/p>\n
Abstract: Simplicial decompositions of spaces often introduce large number of simplices which can become a nuisance especially in computational settings. Inspired by smooth Morse theory, Forman introduced discrete Morse theory which, among its many applications, offers an approach to reduce many kinds of cell complexes. In this talk we first introduce an abstract cell complex that unifies various combinatorial spaces\u2014such as simplicial and CW complexes. We then show how discrete Morse theory allows us to reduce a finite cell complex to a Morse complex which contains less cells while preserving the homology.<\/p>\n
Date: October 20, Monday, 2025
\nTime: 15:30 UTC+3
\nPlace: Mathematics Seminar Room SA \u2013 141 & ZOOM<\/p>\n
To request the event link, please send a message to cihan.okay@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Chung-Ping Lai (Oregon State University) \u201cReducing Complexes with Discrete Morse Theory\u201d Abstract: Simplicial decompositions of spaces often introduce large number of simplices which can become a nuisance especially in computational settings. Inspired by smooth Morse [\u2026] <\/p>\n