Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x43484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Talk 1. Matthew Beckett  9:30am
Pure Mathematics Department, University of Waterloo
“Monopoles and S1invariant instantons”
Abstract
Talk 1. Mohamed El Alami  1:00pm
Pure Mathematics Department, University of Waterloo
“Introduction to schemes, part 2”
The theory of sheaves that was presented in the first talk will be used to introduce ringed spaces, locally ringed spaces and their morphisms. The structure sheaf on Spec R will be revisited to reveal some of its properties that will motivate the definition of schemes. The last part of the talk will cover some examples and properties of schemes.
Jānis Lazovskis, Department of Pure Mathematics, University of Waterloo
"TikZ and you: how to get the most out of codegenerated graphics"
Billy Lee, Department of Pure Mathematics, University of Waterloo
“The Jacobson Density Theorem”
Cameron Williams, Department of Pure Mathematics, University of Waterloo
“Thin is In! Zero Sets and no Regrets”
Michael Baker, Department of Pure Mathematics, University of Waterloo
“Representations of sl(3;C), again”
Continuing from last time, we describe the possible weights of a representation of sl(3;C), give a complete classification of such representations, and in the process, work through a few illuminating examples.
Talk 1. Jon Herman, Pure Mathematics Department, University of Waterloo
“Noether’s theorem in Lagrangian mechanics”
Yitang (Tom) Zhang, University of New Hampshire
"Small gaps between primes and primes in arithmetic progressions"
A major ingredient of the proof is a stronger version of the BombieriVinogradov theorem which asserts that the primes are well distributed in arithmetic progressions to large moduli. This result is of independent interest and it relies on the Riemann Hypothesis for varieties over finite fields.
Talk 1. Janis Lazovskis, Pure Mathematics Department, University of Waterloo
“Sheaf cohomology and manifolds”
Ian Payne, Department of Pure Mathematics, University of Waterloo
“The Structure Theorem of Artin and Wedderburn”
Adam Dor On, Department of Pure Mathematics, University of Waterloo
“Manifolds, Real and Complex.”
Rui Philip Xiao, Department of Pure Mathematics, University of Waterloo
“Universal enveloping algebras”
DanVirgil Voiculescu, from the University of California  Berkeley
“Free probability for pairs of faces”
The talk will deal with the recent extension of free probability to systems with two faces, one face of left variables and another face of right variables.
Talk 1. Justin Shaw, Pure Mathematics Department, University of Waterloo
“Spheres, the quaternions, and rotations”
Talk 1. Ehsaan Hossain, Pure Mathematics Department, University of Waterloo
“Extensions of vector bundles”
Billy Lee, Department of Pure Mathematics, University of Waterloo
“Commutativity Theorems”
Adam Dor On, Department of Pure Mathematics, University of Waterloo
”Differential forms, exterior derivative and the ∂operator”
Michael Baker, Department of Pure Mathematics, University of Waterloo
“Schur functors, Young tableaux, and representation theory”
Talk 1. Jon Herman, Pure Mathematics Department, University of Waterloo
“Noether’s Theorem under the Legendre transform”
Talk 1. Ehsaan Hossain, Pure Mathematics Department, University of Waterloo
“Extensions of line bundles, mk. II”
Susan Sierra, University of Edinburgh
“The universal enveloping algebra of the Virasoro algebra is not noetherian.”
Matthew Beckett, Department of Pure Mathematics, University of Waterloo
“The exterior derivative, integration, and Stokes’ Theorem”
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
“Hopf algebras, symmetric functions and representation theory”
Departmental office: MC 5304
Phone: 519 888 4567 x43484
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 Office of Indigenous Relations.