Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Riemannian stratified spaces arise in many contexts, notably as the compactifications of moduli spaces, and on the K ̈ahler-Einstein manifolds studied recently by Donaldson, Tian, and many other. We discuss various extensions of index formulas (such as the Chern-Gauss-Bonnet formula) to these spaces, work which was initiated by Cheeger on manifolds with conical singularities in the 70s. The main object of study are naturally arising elliptic operators (e.g. the Hodge-deRham operator, the Dirac operator) and their mapping properties on these singular spaces. This is joint work with Pierre Albin at UIUC.
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.