- Young Researchers Mini-symposium in Financial Mathematics.
- Matheus Grasselli (McMaster University)
- Adrien Nguyen Huu (McMaster University)
- Anne MacKay (University of Waterloo)
- Polynice Oyono Ngou (Concordia University)
- Quentin Shao (McMaster University)
Despite the recent crisis (or perhaps because of it), financial mathematics continues to attract extremely talented graduate students and postdoctoral fellows working on a variety of topics, from foundational to computational issues, including many applications to new areas, such as systemic risk and hybrid insurance products, as exemplified by the talks in this mini-symposium.
- Mathematical Endocrinology in Health and Disease
- Anmar Khadra (McGill University)
- Duncan J. MacGregor (University of Edinburgh)
- Bradford Peercy (University of Maryland Baltimore County)
- James F. Selgrade (North Carolina State University)
- Krasi Tsaneva (University of Bristol)
The endocrine systems in the hypothalamus and pituitary regulate many physiological processes that are essential for human health. They exhibit various patterns of behaviour that are rich with dynamics. From electrical and hormonal rhythms to receptor and channel kinetics, these nonlinear processes are extremely complex and remain incompletely understood. The use of merely experimental methods to analyze them can be inadequate; therefore, mathematical models and computational tools are used in parallel to examine them. In this minisymposium, speakers will present their work on modeling different aspects of these systems in an attempt to decipher their function in health and disease.
- Rigorous Computations in Dynamical Systems
- Maxime Breden (ENS Cachan)
- Roberto Castelli (Basque Center for Applied Mathematics)
- Anaïs Correc (Université Laval)
- Andréa Deschênes (Université Laval)
- Marcio Gameiro (University of Sao Paulo at San Carlos)
- Tomasz Kapela (Jagiellonian University)
- Matthieu Vanicat (ENS Cachan)
Our understanding of nonlinear dynamical systems is based on two, largely complementary, approaches: global analysis and numerical simulation. The gap between these may be bridged by computer assisted proofs of the existence of dynamic structures (e.g. fixed points, periodic orbits, connecting orbits). Indeed, the computed solutions can be used as building blocks in global analysis via gluing methods or Morse-Conley-Floer theory. In this way local, rigorously verified, numerical solutions form the seeds of information from which additional global understanding can be gained. This minisymposium explores recent advances in rigorous numerics for dynamical systems in both finite and infinite dimensions.
- Models of Cell Regulation
- Tomas Gedeon (Montana State University)
- Tomas Gedeon (Montana State University)
- Leon Glass (McGill University)
- Mads Kearn (University of Ottawa)
- Michael C. Mackey (McGill University)
The last 10 years witnessed an increased interest in mathematical modeling of cell regulation. This can be partly contributed to increased prominence of cell biology and partly to increased recognition that such modeling can significantly contribute to understanding of complex biological systems. In this minisymposium speakers that had been on a forefront of the field for decades, as well as those who came into the field more recently, will present their newest research.
- Applied and Computational Topology
- Omer Bobrowski (Duke University)
- Tomasz Kaczynski (Université de Sherbrooke)
- Miroslav Kramar (Rutgers University)
- Yuriy Mileyko (University of Illinois at Urbana-Champaign)
The field of applied computational topology aims at developing an algorithmic approach to abstract topological structures with the aim of applying them to fields as broad as material science, medical imaging, biology, pattern recognition, soft matter physics and fluid dynamics. Moreover, computational topology provides a powerful framework for dimension reduction of multi-dimensional data. While being useful in itself, this opens doors to understanding the dynamical aspects of high dimensional time dependent data sets. This mini-symposium will describe recent theoretical and algorithmic advances in the field, together with applications to computer vision, granular media, fluid dynamics and data analysis.
- Control and Optimization of Partial Differential Equations
- Jamal Hussain Al-Smail (King Fahd University of Petroleum and Minerals)
- Amenda Chow (University of Waterloo)
- Michel Delfour (Université de Montréal)
- Mojtaba Izadi (University of Alberta)
- Holger Teismann (Acadia University)
- Felicia Yapari (University of Alberta)
Partial differential equations are used to model a wide range of scientific and engineering problems. This minisymposium focuses on control and optimization of processes governed by partial differential equations. The presentations will present the latest research and promote discussion on control, optimization, and corresponding numerical simulations of several systems. We are expecting to cover several applications including, but not limited to : chemical and biomedical problems, optimal control in crystal growth, optimal shape design.
- Fluid-Structure Interactions and Interface Flow Problems
- C. Béguin (École Polytechnique de Montréal)
- R.-K Yu (École Polytechnique de Montréal)
- M. Salmani (École Polytechnique de Montréal)
- A. Soulaimani (École de Technologie Supérieure, Montréal)
Fluid-Structure Interactions and Interface Flow Problems are essential to the design of many engineering systems. From sea-keeping to airplane manoeuvrability and safety, nearly all mechanical problems require to a certain degree coupling between structures and fluid flows and/or require to deal with interfaces between fluids (e.g. two-phase flows). These are nice examples of multidisciplinary research linking several fields of Mechanics and other fields of Physics (e.g. surface tension). This mini-symposium aims at discussing mathematical/engineering aspects specific to FSI and interface flow problems. In particular, computational algorithms, theoretical modelling, or research studies related to the validation of theoretical developments will be discussed.