Ohio State nav bar

Grad Student Seminar - Duncan Clark

Duncan Clark
November 13, 2018
5:15PM - 6:30PM
Cockins Hall 240

Date Range
Add to Calendar 2018-11-13 17:15:00 2018-11-13 18:30:00 Grad Student Seminar - Duncan Clark Title: Derivatives and Taylor Series in Homotopy Theory Speaker: Duncan Clark (Ohio State University) Abstract: Functor calculus was developed by Tom Goodwillie to understand complicated functors, like K-theory, by studying simpler, polynomial-like approximations. For example, a (reduced) linear functor is one which satisfies excision. One of his main results is that a homotopy functor on pointed topological spaces admits a Taylor tower: a tower of polynomial approximations which behave eerily like the Taylor series from ordinary calculus, and which under suitable conditions converge to the original functor. In this talk, we define the major players in functor calculus and give some insight into what the derivates of a functor tell us. This talk should be accessible to all graduate students, though some basic familiarity with algebraic topology and category theory wouldn’t hurt. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Derivatives and Taylor Series in Homotopy Theory

Speaker: Duncan Clark (Ohio State University)

Abstract: Functor calculus was developed by Tom Goodwillie to understand complicated functors, like K-theory, by studying simpler, polynomial-like approximations. For example, a (reduced) linear functor is one which satisfies excision. One of his main results is that a homotopy functor on pointed topological spaces admits a Taylor tower: a tower of polynomial approximations which behave eerily like the Taylor series from ordinary calculus, and which under suitable conditions converge to the original functor. In this talk, we define the major players in functor calculus and give some insight into what the derivates of a functor tell us. This talk should be accessible to all graduate students, though some basic familiarity with algebraic topology and category theory wouldn’t hurt.

Events Filters: