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An Introduction to Rectifiability, Part I: Tangents

Emily Casey, University of Washington
Thursday, October 20, 2022 - 12:30pm to 1:30pm
PDL C-401
This is the first talk in a two-talk series.
What is a rectifiable set? We can think of a rectifiable set as the image of countably many "nice'' maps—in particular, maps that have nice differentiability properties. So, it would make sense that at almost every point of these rectifiable sets there should be a tangent. But, is there? And if so, in what sense? We seek to understand these questions through the use of many pictures and examples. This talk is purely expository and is based on a survey: Rectifiability; A Survey by Pertti Mattila. The second talk will be by Ignacio Tejeda, and seeks to understand rectifiable sets via their projections. 
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