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
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.
A major ingredient of the proof is a stronger version of the Bombieri-Vinogradov 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.
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.
Pure Mathematics Department, University of Waterloo
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.
Pure Mathematics Department, University of Waterloo
Abstract
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.