Events

Nigel Higson, Penn State University

“Contractions of Lie Groups and Representation Theory”

The contraction of a Lie group G to a subgroup K is a Lie group, often simpler than G itself, that approximates G to first order near K.

Ehsaan Hossain, Department of Pure Mathematics, University of Waterloo

“Simple Lie Algebras and Dynkin Diagrams”

We’ll see how to construct the Dynkin diagram for a simple Lie algebra. Two Lie algebras are isomorphic if and only if their Dynkin diagrams are, so classifying the Dynkin diagrams is the main ingredient for the classification theorem.

Frédéric Rochon, UQAM University of Quebec

“The moduli space of asymptotically cylindrical Calabi-Yau manifolds”

We show that the examples of asymptotically cylindrical Calabi-Yau manifolds recently obtained by Haskins-Hein-Nordstrom admit a full polyhomogeneous expansion at infinity.

Karen Strung, Fields Institute, Toronto

“On the classification of C*-algebras associated to minimal dynamical systems”

It is the mandate of the Elliott classification programme to classify separable simple unital nuclear C*-algebras by invariants consisting of K-theory and tracial states.

Leo Goldmakher, University of Toronto

“Bounds on the least quadratic nonresidue”

Attaining strong bounds on the least quadratic nonresidue (mod p) is a classical problem, with a history stretching back to Gauss. The approach which has led to the best results uses character sums, objects which are ubiquitous in analytic number theory.

Renzhi Song, Department of Pure Mathematics, University of Waterloo

“Dichotomy of Conservative CSPs”

This talk is the second of several covering Barto’s simpler proof of a dichotomy for con- servative templates (originally due to Bulatov).