Published on *Max Planck Institute for Mathematics* (https://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Niall Taggart
Organiser(s):

Peter Teichner, Arunima Ray, Tobias Barthel
Affiliation:

Queen's University Belfast/MPIM
Date:

Mon, 2020-10-19 14:30 - 14:50 Orthogonal calculus was developed in the 1990s as a tool to study functors from the category of real vector spaces to the category of (based) topological spaces. One inputs a functor F, and the calculus outputs a tower of polynomial approximations of F similar to Taylorâ€™s Theorem in differential calculus. The difference between successive polynomial approximations is a topological space built from the derivatives of the inputted functor and can be studied homotopy theoretically. In this talk, I will introduce several variants of orthogonal calculus, with a view toward some largely unanswered questions about the connections of the calculi and smooth embeddings of manifolds.

Zoom Meeting ID: 916 5855 1117

For password see the email or contact: Arunima Ray or Tobias Barthel.

**Links:**

[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] https://www.mpim-bonn.mpg.de/node/6994