Rice University

Events at Rice

Colloquium

Mathematics

Speaker: David Krcatovich
Rice University (Mathematics)

Undergraduate Colloquium: Planning robot motion using configuration spaces

Friday, March 24, 2017
4:00 PM  to 5:00 PM

227  Herman Brown Hall
Rice University
6100 Main St
Houston, Texas, USA

Geometry and topology, loosely speaking, are fields of math which study shapes. Any time a question can be rephrased as “what kind of shape is this?”, these fields provide tools to get an answer. One instance of this is Einstein’s theory of general relativity – if you want to understand motion of objects under the influence of gravity, you can do so by understanding the shape of 4-dimensional ‘space-time’. We will discuss how to rephrase the following question into one about shape: “Suppose you would like to plan and execute the simultaneous motion of robots on a warehouse floor (imagine an Amazon warehouse, with robots finding, packing and shipping items). How can you do so efficiently, while making sure that the robots don’t collide?”

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