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Some General Remarks About Derived Algebraic Geometry

Speaker: 
Dhyan Aranha
Schedule: 
Tuesday, May 9, 2017 - 16:00
Location: 
A-136
Abstract: 

A year and a half ago we did a seminar on derived algebraic geometry in Toen and Vezzosi's Homotopical Algebraic Geometry (HAG)-framework. I would like to say a few words about how one translates HAG into the now widely used language of (\infty, 1)-categories. Roughly my plan is to start with some remarks on the various notions of higher categories and how they fit together and then, give a definition of derived scheme/stack then depending on time and the audience give examples and results from the literature. I probably wont give too many (or any?!) rigorous definitions or do things in detail but I will try my best to give references.

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