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Mathematics Graduate Student Seminar

Tuesday, May 10, 2016
12:00pm to 1:00pm
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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". 

 

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