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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We continue through the proof of Goncharov’s Theorem from Mcpherson’s research paper.
In this fifth of several lectures, I continue the analysis of
singular pairs of variables, studying their effect on the congruence
lattice of their associated constraint relation.
In this talk, we explain how one can obtain new schemes by gluing together a collection of schemes. This is known as the "gluing construction", which can produce for example projective n-space over a given ring. We also introduce the notion of a separated scheme and explain its relation to Hausdorffness.
Given an isometric immersion, we will study further how the second
fundamental form allows the geometry in the ambient space to be
decomposed into geometry on the tangent and normal bundles. In
particular, we'll discuss the Gauss-Codazzi equations. In the second
part of the talk, we will look at totally geodesic immersions and some
Groupoid C*-algebras form a unifying framework for a number of classes of C*-algebras including commutative ones, group C^*-algebras, group action cross products and Cuntz-Krieger, or graph, C*-algebras. Often purely algebraic properties of these algebras can be understood in terms of the groupoids, e.g., simplicity, Morita equivalence, the primitive ideal structure.
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.