|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Homological Stability of Moduli Spaces of High Dimensional Manifolds
If you have a question about this talk, please contact Ivan Smith.
Some sequences of topological spaces X1 —> X2 —> X3 —> ... have the property that the induced maps in homology are eventually isomorphisms. There are many examples, where this phenomenon is already known to hold. In this talk we will consider the example of diffeomorphism groups of high dimensional manifolds. We first explain how to translate homological stability in the geometric setting for this example to the algebraic setting of quadratic forms. For simply-connected manifolds, Galatius and Randal-Williams have shown that certain simplicial complexes arising on the algebraic side are highly connected, and hence deduced homological stability theorems for moduli spaces of simply-connected manifolds. We generalise this to a much larger class of manifolds (those having virtually polycyclic fundamental group).
This talk is part of the Differential Geometry and Topology Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsPostgraduate Travel Group Wolfson College talks Politics
Other talksDr David Komander: Studying non-existent ubiquitin chains The timing of cirque glaciation in western North America revisited: No Neoglacial in the U.S. Cordillera? The value of goods and value of people. Assessing urban fiscal policies in late medieval Italy 'I have sought to serve German art with all my strength': Impressionism and Foreign Cultural Policy in Weimar Germany, 1918-1933 High strain rate deformation response of titanium for aerospace gas turbines A battle for mitochondrial DNA transmission