iiD Colloquium on Formalization of Mathematics: Formalizing invisible mathematics: case studies from higher category theory

Event sponsored by

Information Initiative at Duke (iiD)
+DataScience (+DS)
Bass Connections
Biostatistics and Bioinformatics
Center for Computational Humanities
Computational Biology and Bioinformatics (CBB)
Computer Science
Duke Quantum Center
Electrical and Computer Engineering (ECE)
Information Science + Studies (ISS)
Mathematics
Pratt School of Engineering
Social Science Research Institute (SSRI)
Statistical Science

Contact

Colleen Robles

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Speaker

Emily Riehl (Johns Hopkins University)
One thing that quickly becomes clear when attempting to formalize recent mathematical discoveries in a computer proof assistant is how much "invisible mathematics" is obscured in a proof on paper. This talk will attempt to present a taxonomy of the various forms of invisible mathematics that have been made visible by attempts to formalize higher category theory. We then describe specific challenges inherent to large-scale formalization projects that are exacerbated by invisible mathematics.

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