|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Cohomology of diffeomorphism groups
If you have a question about this talk, please contact Julia Blackwell.
Riemann’s moduli space M_g classifies families of genus g Riemann surfaces, and is also a model for the classifying space of the group of diffeomorphisms of a genus g surface. In 1985 Harer proved his celebrated stability theorem, which states that the i-th cohomology of M_g is independent of g, as long as g is large compared with i. More recently, Madsen and Weiss computed the cohomology of M_g in this large genus regime, confirming a conjecture of Mumford.
I will discuss recent joint work with S. Galatius, where we establish an analogous pair of results for manifolds of higher even dimension.
This talk is part of the DPMMS Presentations series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsWorld History Workshop Reading Group EPRG Energy and Environment (E&E) Series Easter 2012 RCEAL Tuesday Colloquia
Other talksSocial Cognition in adolescent social networks Tracking Disease Transmission in Western Uganda - A tale of data mining and electronic syndromic surveillance Identification of novel cellular factors regulating Vaccinia virus replication Polynomials, Rational Functions and Chebfun Microtubule array patterning in the axially growing hypocotyl cell Morphodynamics of lateral root formation in Arabidopsis thaliana