Topology Seminar

Title: Delooping the Goodwillie-Weiss tower for closed discs
Speaker: Victor Turchin
Speaker Info: Kansas State University
Brief Description:
Special Note:

I will talk about the problem of delooping spaces of smooth maps D^m -> D^n of discs, n>=m, coinciding with the fixed coordinate inclusion near the boundary and avoiding any type of a multi singularity (i.e. singularity depending on several points). Examples of such spaces are spaces of embeddings and spaces of non-k-equal immersions. As another example, one can forbid self-tangency or any mixed condition on self-intersection and local singularity at intersection points. The approach that we use is the Goodwillie-Weiss calculus, which naturally translates to the language of operads. Expect that the talk will heavily use operads and related objects.

(Joint work with Julien Ducoulombier, ETH Zurich)

Date: Monday, April 16, 2018
Time: 4:10pm
Where: Lunt 104
Contact Person: Prof. John Francis
Contact email: jnkf@math.northwestern.edu
Contact Phone: 847-491-5544
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