Smooth manifolds can be described by their ring of smooth real-valued functions, in a similar way to an affine variety. However, this ring has much more structure which is captured in an algebraic gadget called a $C^\infty$ ring. Recently, work in derived differential geometry has led to notions of derived manifolds that arise out of variations on $C^\infty$ rings, as in Dr. Dominic Joyce's work. It was recently shown that dg-$C^\infty$ rings form the backbone for a proper $\infty$-category of derived manifolds. This series of talks will cover the connection between a suitable truncation of this $\infty$-category, made up of groupoids in $C^\infty$ rings, and the 2-category of d-manifolds.
Math-Physics Joint Seminar
Tuesday, October 18, 2022 - 3:30pm
Quincy Frias
George Mason University
Other Events on This Day
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Mechanisms and models of spatiotemporal patterns in polyphyodont dentition
MathBio Seminar
4:00pm
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The Density Metric and Computability Theory
Logic and Computation Seminar
2:00pm
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Graph limits and graph homomorphism density inequalities
Probability and Combinatorics
3:30pm