André Boivin (1955-2014) passed away at University Hospital on Friday, October 17, 2014, as a result of heart failure.

Professor Boivin completed his PhD at the Université de Montréal in 1984 under the direction of Paul Gauthier. He came to the University of Western Ontario as an Assistant Professor in 1986, after holding postdoctoral fellowships at UCLA and University College, London. He was promoted to Associate Professor in 1991, and then to Professor in 2004. He was appointed as Chair of Western's Department of Mathematics in 2011.

His research specialties were complex analysis and approximation theory, and he was the author of multiple papers in these areas. He gave tireless service to granting agencies and selection committees in Québec and Ontario, and was a frequent conference organizer.

He served with distinction as Graduate Student Chair before becoming Chair of the Department, and supervised many graduate students during the course of his career at Western. Caring, warmth and passion were the hallmarks of his relationships with students and colleagues.

André Boivin is survived by his wife Yinghui Jiang, son Alexandre, daughter Melanie and step son JP. He was well loved and respected by his colleagues, students and coworkers throughout the University, and he will be sorely missed.

Each week the Department of Mathematics hosts a wide variety of seminars and events. For a comprehensive list of events, please consult our departmental calendar.

The origin of deformation quantization goes back to as far as 1969 in its purely algebraic form. When applied this construction to the algebra $C^{\infty}(M)$ of smooth complex valued functions on a manifold $M$ , if exists, one obtains a quantization,making the space $C^{\infty}(M)$ noncommutative. Roughly speaking, the construction proceeds as follows: using the algebra $C^{\infty}(M)$ of complex valued smooth functions on $M$, one defines a new product $\star$ depending on some formal quantization parameter $\hbar$.This new product is viewed as formal power series in $\hbar$,thus defining a new algebra $C^{\infty}(M)[[\hbar ]]$ over the ring $\mathbb{C}[[\hbar]]$. An example of such a product called Weyl-Moyal product on $\mathbb{R}^{N}$ arises naturally from its Poisson structure. Under any new multiplication, $\frac{f\star g -g\star f}{\hbar}\vert_{\hbar\longrightarrow 0} = \{f,g\}$. In fact, M. Kontsevich proved that if $M$ has a Poisson bracket, then $M$ admits a nontrivial deformation quantization.I will sketch the proof of Kontsevich in the simplest case $M = \mathbb{R}^{n}$. As much as time is allotted, I will give as many applications of Kontsevich celebrated result as possible.

We survey (including our results) the dilation theorems in operator
algebras in various settings and in particular talk about their
appearance in non-commutative stochastic processes. We talk about the
well-known correspondence between semigroups and stochastic processes
in the commutative case and survey how this correspondence can be
generalized to non-commutative setting by using dilation theorems. We
also mention how the correspondence (in the commutative case) arises
in developing analysis on non-smooth spaces such as fractals.