Mathematics Graduate Student Seminar

Algebraic Theories and Duality

Ronnie Chen, Graduate Student, Mathematics, Caltech,

Abstract: We will present a general framework for duality theorems, due to Isbell, Johnstone, Tholen, and others. We will discuss how many classical duality theorems, such as Stone duality, Gelfand duality, and Pontryagin duality, fit into this framework. Along the way, we will introduce monads (in the category-theoretic sense) as an abstract notion of "algebraic theories".

Event Sponsors:

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For more information, please contact Mathematics Department by email at [email protected] or visit http://www.math.caltech.edu/~gradseminars/.