Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Infinity categories and why they are useful, III

Infinity categories and why they are useful, III

Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces January 31, 2019 - February 08, 2019

February 05, 2019 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Carlos Simpson (Universite de Nice Sophia Antipolis)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

13-Simpson

Abstract

In this series, we'll introduce infinity categories and explain their relationships with triangulated categories, dg-categories, and Quillen model categories. We'll explain how the infinity-categorical language makes it possible to create a moduli framework for objects that have some kind of up-to-homotopy aspect: stacks, complexes, as well as higher categories themselves. The main concepts from usual category theory generalize very naturally. Emphasis will be given to how these techniques apply in algebraic geometry. In the last talk we'll discuss current work related to mirror symmetry and symplectic geometry via the notion of stability condition. 

Supplements
Asset no preview Notes 568 KB application/pdf Download
Video/Audio Files

13-Simpson

H.264 Video 862_25956_7594_13-Simpson.mp4
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath Videos page.