Search for tag: "topology"

Feb 1: Shortest homotopic paths

triangulation, crossing sequences, reduction, the funnel algorithm, holes for free!

From  Jeff Erickson 3 plays 0  

Jan 27: Faster homotopy testing

trapezoidal decomposition, horizontal and vertical ranks, rectification, bracket slides

From  Jeff Erickson 0 plays 0  

Jan 25: Multiple obstacles

Homotopy testing: crossing sequences, reduction, uniqueness, homotopy invariance again

From  Jeff Erickson 0 plays 0  

Jan 20: Winding numbers, homotopy

Fast and Loose, non-simple polygon area, winding number definitions, homotopy, (safe) vertex moves, simplicial approximation, homotopy invariance

From  Jeff Erickson 3 plays 0  

Jan 18: Introduction, Jordan polygon theorem

Simple polygons: Jordan polygon theorem, point-in-polygon algorithm, trapezoidal decompositions, polygon triangulations

From  Jeff Erickson 13 plays 0  

Seminar talk: Understanding accessible infinity categories

Recording of a talk given to the UIUC topology seminar on 16 Feb 2021, in which I explore generalizations of the notion of accessible infinity category.

From  Charles Rezk 0 plays 0  

Meeting 1.1: Course overview, and what is a manifold?

I begin with a very brief overview of the main themes we will explore this semester: interactions between (low-dimensional) topology, computational complexity and algorithms, and quantum computing…

From  Eric Samperton 0 plays 0  

Kaltura Media Engine Update - 3 November 2016

Kaltura Media Engine Update - 3 November 2016 IT Pro Forum 2016 This is the first part of the talk, the last 25 minutes were an overview of CaptureSpace, a media creation tool. CaptureSpace was…

From  Drew MacGregor 0 plays 0