MPI f. Mathematik Conference on "Interactions between higher algebra, manifolds and functor calculus" May 18-22, 2026. In: UNSPECIFIED. (Unpublished)
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Video (May 18, 2026, Manuel Krannich, Embedding calculus and applications to manifold theory I)
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Video (May 18, 2026, Luciana Basualdo Bonatto, A modular operad of mapping class groups)
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Video (May 18, 2026, Kaif Hilman, On Poincare cobordism spectra and multiplicative signature maps)
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Video (May 19, 2026, Manuel Krannich, Embedding calculus and applications to manifold theory II)
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Video (May 19, 2026, Oscar Randal-Williams, A chromatic approach to homological stability)
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Video (May 19, 2026, Jonathan Pedersen, Tate L-theory and the Kervaire Invariant)
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Video (May 19,2026, Natalie Stewart Additivity and equivariant little disk embeddings)
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Video (May 20, 2026, Oliver Wang, Group actions on exotic spheres)
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Video (May 20, 2026, Florian Naef, Strong Frobenius Algebra Models for Disk-Presheaves)
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Video (May 21, 2026, Manuel Krannich, Embedding calculus and applications to manifold theory III)
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Video (May 21, 2026, Gregory Arone, Symmetric powers and the Braid group)
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Video (May 21, 2026, Fadi Mezher, Configuration spaces and exotic spheres)
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Video (May 21, 2026, Samuel Muñoz-Echániz, On spaces of long knots)
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Video (May 22, 2026, Manuel Krannich, Embedding calculus and applications to manifold theory IV)
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Abstract
Functor calculus serves as a systematic method for approximating functors by their “polynomial” counterparts. These approximations often allow for interesting new computations in homotopy theory and geometry. For example, in the setting of manifolds, the work of Goodwillie–Klein–Weiss enables one to extend classical computations of spaces of embeddings beyond traditional stable ranges. On the other hand, Goodwillie's homotopy calculus has been successfully used by Dundas–Goodwillie–McCarthy to study algebraic K-theory, as well as by Arone–Mahowald to study the unstable homotopy groups of spheres.
Functor calculus has played a fundamental role in recent advances in geometric topology and led to new interactions between higher category theory and the theory of manifolds. By bringing together experts working across homotopy theory, manifold theory, and higher algebra, this conference will foster new collaborations among its participants and shed further light on the exciting interactions between these subjects. The program will also include a four-part lecture series by Manuel Krannich.
| Item Type: | Conference or Workshop Item (Lecture) |
|---|---|
| Depositing User: | This Admin |
| Date Deposited: | 15 Jun 2026 12:59 |
| Last Modified: | 13 Jul 2026 15:34 |
| URI: | https://archive.mpim-bonn.mpg.de/id/eprint/5221 |
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