Events

Cameron Williams, Pure Mathematics & Cameron Marcott, Combinatorics Optimization, University of Waterloo

"Cameron and Cameron Present the Cyclic Sieving Phenomena with Cameron and Cameron "

We show how basic representation theory can be used to count the fixed points of a set under the action of a cyclic group. This basic representation theory has deep combinatorial applications only recently described as the "cyclic sieving phenomena".

J.C. Saunders, Department of Pure Mathematics, University of Waterloo

“Estimates for Improving Zhang’s Bounded Gaps of Primes”

In 2013 Yitang Zhang proved that there are an infinitely many pairs of primes such that the two primes in each pair differ by no more than 70,000,000. One of the techniques he used to prove this is to reduce the problem down to three types of estimates, which he named Type I, Type II, and Type III.

Youness Lamzouri, York University

“Large character sums"

In 1932, Paley constructed an infinite family of quadratic characters whose character sums become exceptionally large. In this talk, I will discuss my joint work with Leo Goldmakher in which we obtain analogous results for characters of any fixed order.

Tommy Murphy, McMaster University

“Rigidity results for Hermitian Einstein manifolds”

Motivated by work of A. Gray, we study a differential operator naturally defined on the unit sphere bundle of any Riemannian manifold (M,g).

Hannes Thiel, Fields Institute, Toronto

“Recasting the Cuntz category”

The Cuntz semigroup W(A) of a C*-algebra A plays an important role in the structure theory of C*-algebras and the related Elliott classification program.

George Willis, University of Newcastle

“Classifying Symmetry”

Classifying types of symmetry has been an important theme in mathematics going back to the classification of the five Platonic solids.

Renzhi Song, Department of Pure Mathematics, University of Waterloo

“Pointed Decomposition: Part 1”

Continuing our reading of the paper by Barto and Kozik, we work our way through sections 8.1 and 8.2.

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Automorphisms of projective varieties and potential density, I ”

Stanley Xiao, Department of Pure Mathematics, University of Waterloo

“Zhang’s Theorem Implies Bounded Gaps Between Primes”

In the first talk of the learning seminar we mentioned that Yitang Zhang proved a modified version of the Bombieri-Vinogradov theorem with larger level of distri

Chung Pang Mok, McMaster University

“Endoscopic classication of automorphic representations on classical groups: prospects and applications”

The recent work of Arthur, the speaker and others on the endoscopic classification of automorphic representations of classical groups is a landmark result in the Langlands’ program.

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