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Clark Barwick, University of Edinburgh
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Diarmuid Crowley, University of Melbourne
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Oscar Randal-Williams, University of Cambridge
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Ulrike Tillmann, University of Oxford
About:
Andrew Ranicki and his theory of algebraic surgery played a central role in linking manifold theory, algebraic K-theory, and its close cousin L-theory. These areas have seen great developments and advances in the last decade from distinct research communities. This workshop brought together mathematicians working on the topology of high-dimensional manifolds and their automorphisms with those working on the algebraic K-theory (and its cousins hermitian K-theory and L-theory) of rings and ring spectra, in order to share recent progress in these areas and kindle a fresh interaction between them.
Directly within the theme of this workshop is the major recent work of Calmès, Dotto, Harpaz, Hebestreit, Land, Moi, Nardin, Nikolaus, and Steimle on Grothendieck--Witt theory, which played a role in several talks. Fabian Hebestreit had prepared introductory lectures to this circle of ideas which served as good preparation for those participants not yet familiar with it. Please see links below to recordings of Fabian's lectures:
Programme:
Recordings of all talks which were recorded can be viewed here
| Monday 21 June | ||
| Thomas Nikolaus , Universität Münster | Cohomology of orthogonal and symplectic groups over the integers | |
| Carmen Rovi, Universität Heidelberg | Cut and paste invariants of manifolds via algebraic K-theory | |
| Shmuel Weinberger, University of Chicago | Algebraic theory of topology | |
| Quiz (to be held in Sococo) | ||
| Tuesday 22 June | ||
| Manuel Krannich, University of Cambridge | The Disc-structure space | |
| Wolfgang Steimle , Universität Augsburg | Stable moduli spaces of hermitian forms | |
| Thomas Goodwillie, Brown University | Manifolds and spaces of graphs | |
| Ian Hambleton, McMaster University | The Legacy of Andrew Ranicki - a photo tour | |
| Wednesday 23 June | ||
| Nathalie Wahl, University of Copenhagen | Invariance of string topology | |
| Yonatan Harpaz, University of Paris 13, CNRS) | Relative L-theory and cyclic homology | |
| Alexander Kupers, University of Toronto | Diffeomorphisms of discs | |
| Poster session (to be held in Sococo) | ||
| Andrew Senger , MIT | Classification of Manifolds and Homotopy Theory | |
| Markus Land, University of Copenhagen | The Shaneson-Ranicki splitting is a Bass-Heller-Swan type splitting for Poincare categories | |
| Jim Davis, Indiana University | Topological Rigidity and low-dimensional topology | |
| Problem session | ||
| Friday 25 June | ||
| Mark Powell, Durham University | Stable diffeomorphism | |
| Jan Steinebrunner, University of Oxford | The classifying space of the surface category and tropical moduli spaces | |
| Wolfgang Lück, University of Bonn | The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups |