# Colloquium

**Speaker:**Omar Antolín Camarena, Instituto de Matemáticas, UNAM, Mexico City

**Location:**LD 229

Taylor Series for Functors

**Abstract:** In math, theorems are a dime a dozen, but only a select few people have a calculus named after them! Tom Goodwillie is one of them: he developed a theory analogous to calculus of functions of one real variable but for functors from the category of topological spaces to itself. I'll give an introduction to the Goodwillie calculus and explain the "twist" that makes the analogue of the Taylor series for the identity functor much more interesting than the Taylor series of the identity function.

**Bio:** Omar Antolín Camarena is Assistant Professor at the Instituto de Matemáticas, UNAM, Mexico City. His work is centered around problems from homotopy theory, higher category theory, derived algebraic geometry and combinatorics. Omar received his Ph.D. from Harvard University, under the supervision of Jacob Lurie, and did a postdoctoral position at the University of British Colombia. Among his colleagues, Omar is well known to be a polymath, able to give an interesting comment on just about any topic.

Hosted by: Dr. Roland Roeder and Dr. Daniel Ramras