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Events - 2015

Monday, January 19, 2015 — 2:30 PM EST

Stanley Yao Xiao, Department of Pure Mathematics, University of Waterloo

“Binary quartic forms and average ranks of elliptic curves”

Friday, January 16, 2015 — 4:00 PM EST

Raymond Cheng, University of Waterloo

"Local theory of algebraic number fields"

Friday, January 16, 2015 — 3:30 PM EST

Vern Paulsen, University of Houston

“The Conjectures of Connes, Kirchberg and Tsirelson”

Friday, January 16, 2015 — 1:00 PM EST

Rahim Moosa, Department of Pure Mathematics, University of Waterloo

"Introduction"

Thursday, January 15, 2015 — 4:00 PM EST

Michael Baker, Pure Mathematics, University of Waterloo

"Global theory of algebraic number fields"

In this talk, I will embark on an informal review of the global theory of algebraic number fields: integrality, discriminants and integral bases, Dedekind domains, fractional ideals and the ideal class group, Minkowski theory, Dirichlet's unit theorem, splitting of primes, as time permits. Motivation for class field theory will be discussed.

Wednesday, January 14, 2015 — 2:30 PM EST

Ehsaan Hossain, Pure Mathematics, University of Waterloo

"Hilbert's Syzygy Theorem"

Monday, January 12, 2015 — 2:30 PM EST

Stanley Yao Xiao, Pure Mathematics, University of Waterloo

"Introduction to Bhargavaology"

In this introductory talk I aim to give a sampling of the vast web of important theorems related to Manjul Bhargava, one of the four Fields Medalists of 2014, and describe their importance in the context of modern number theory. There are no technical details in the talk, making it very accessible.
Friday, January 9, 2015 — 3:23 PM EST

Ross Willard, Pure Mathematics, University of Waterloo

"Larose's theorem"

Putting together some of the machinery developed this term, I will prove Larose’s Theorem: if X is a finite, connected reflexive digraph and X admits a Taylor operation, then for every k ≥ 1, the k-th homotopy group of X is trivial.

Friday, January 9, 2015 — 2:30 PM EST

Jie Zhou, Perimeter Institute

“WDVV equations and Ramanujan identities”

In this talk I will explain why the ancestor GW correlation functions for an elliptic orbifold are quasi-modular forms.

Friday, January 9, 2015 — 1:00 PM EST

Ben Smith, McGill University

“Singular G-Monopoles on circle bundles over a Riemann surface”

Wednesday, January 7, 2015 — 2:30 PM EST

Karen Yeats, Simon Fraser University

"Tree Feynman rules”

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