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The Fundamental Group of Random 3-Manifolds and Other Random Objects

Offered By: University of Chicago Department of Mathematics via YouTube

Tags

Topology Courses Probability Theory Courses Fundamental Groups Courses Category Theory Courses

Course Description

Overview

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Attend a mathematics colloquium featuring Will Sawin from Princeton University as he presents "The Fundamental Group of Random 3-Manifolds and Other Random Objects." Explore the concept of typical fundamental groups in 3-manifolds through a precise definition of random 3-manifolds. Discover how Sawin and Melanie Matchett Wood build upon Dunfield and Thurston's work to answer questions about the profinite completion of the fundamental group. Learn about the connection between this research and the classical problem of determining probability distributions from moments. Gain insights into how this approach generalizes to studying random objects across various categories in mathematics.

Syllabus

Colloquium: Will Sawin (Princeton)


Taught by

University of Chicago Department of Mathematics

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