SCIENTIFIC PROGRAMS AND ACTIVITIES

March 28, 2024

April 13-14, 2007
Young Mathematicians' Conference in PDE and Dynamical Systems IV

held at the Fields Institute

Organizers:
Walter Craig, Adrian Nachman, Dmitry Pelinovsky, Mary Pugh, Catherine Sulem
Supported by

A conference of junior researchers in the areas of PDE and Dynamical Systems. will be held April 13-14 at the Fields Institute, Toronto. The goal is to encourage scientific exchange, and to create an opportunity for mathematicians in an early stage of their career to get to know each other and each other's work.

Senior Speakers

C.E. Wayne, Boston University
Stability of Vortex Solutions of the Two and Three Dimensional Navier-Stokes Equation
Mary Pugh, University of Toronto
Notes on Blowup and Long-Wave Unstable Thin Film Equations

Junior Speakers

Donald Campbell, University of Waterloo
The Sigma-Delta Modulator as a Chaotic Nonlinear Dynamical System
Oliver Diaz-Espinosa, McMaster University
Small random perturbations of critical dynamical systems
Raluca Eftimie, University of Alberta
Modeling complex spatial animal group patterns: the role of different communication mechanisms
Qingwen Hu
, York University
Global Hopf Bifurcation of Differential Equations with State-dependent Adaptive Delay
Ranis Ibragimov, McMaster University
Stability of viscous fluid flows
Hadi Jorati, University of British Columbia
A Marcinkiewicz multiplier theorem for nonhomogeneous dilations
Abdoul Kane, University of Toronto
Dynamics of Synchronization in an Inhibitory Network
Young-Heon Kim, University of Toronto
Curvature and the continuity of optimal transportation maps
Eugene Kritchevski, McGill University
Hierarchical Anderson Model
Paul Lee, University of Toronto
A Nonholonomic Moser Lemma
Qun Li, McGill University
The Constant Rank Theorem for Solutions of Fully Nonlinear Equations in Complex Variables
Vladislav Panferov, McMaster University
On a kinetic averaging lemma
Igor Wigman, McGill University
Nodal sets for random eigenfunctions of the Laplacian on the torus
Alberto Monter
, University of Toronto
On a weighted Hodge decomposition problem that arises in the study of the Gross-Pitaevskii energy

Accomodation at the Holiday Inn Midtown

It is suggested that the participants stay in the same hotel and a preferred rate has been arranged at the Holiday Inn Midtown. Please quote FIW Conference when booking your room in order to received the preferred rate. Holiday Inn Midtown

Schedule

Friday April 13
10:00-10:30 Welcoming Coffee
10:30-11:25 Eugene Wayne, Boston University
Stability of Vortex Solutions of the Two and Three Dimensional Navier-Stokes Equations
11:30-11:55 Alberto Montero, University of Toronto
On a weighted Hodge decomposition problem that arises in the study of the Gross-Pitaevskii energy
12:00-12:25 Ranis Ibragimov, McMaster University
Stability of viscous fluid flows
12:30-1:30 Lunch at Fields
2:00-2:25 Young-Heon Kim, University of Toronto
Curvature and the continuity of optimal transportation maps
2:30-2:55 Qun Li, McGill University
The Constant Rank Theorem for Solutions of Fully Nonlinear Equations in Complex Variables
3:00-3:30 Coffee
3:30-3:55 Igor Wigman, McGill University
Nodal sets for random eigenfunctions of the Laplacian on the torus
4:00-4:25 Hadi Jorati, University of British Columbia
A Marcinkiewicz multiplier theorem for nonhomogeneous dilations
4:30-4:55 Donald Campbell, University of Waterloo
The Sigma-Delta Modulator as a Chaotic Nonlinear Dynamical System
6:30 Dinner - Bright Pearl Seafood Restaurant, 346 - 348 Spadina Ave.
Saturday, April 14

9:30-9:55

Paul Lee, University of Toronto
A Nonholonomic Moser Lemma
10:00-10:25 Eugene Kritchevski, McGill University
Hierarchical Anderson Model
10:30-11:00 Coffee

11:00-11:55

Mary Pugh, University of Toronto
Notes on Blowup and Long-Wave Unstable Thin Film Equations

12:00-12:25

Oliver Diaz-Espinosa, McMaster University
Small random perturbations of critical dynamical systems

12:30-1:30

Lunch at Fields

2:00-2:25

Abdoul Kane, University of Toronto
Dynamics of Synchronization in an Inhibitory Network

2:30-2:55

Qingwen Hu, York University
Global Hopf Bifurcation of Differential Equations with State-dependent Adaptive Delay

3:00-3:30

Coffee
3:30-3:55
Raluca Eftimie, University of Alberta
Modeling complex spatial animal group patterns: the role of different communication mechanisms
4:00-4:25 Vladislav Panferov, McMaster University
On a kinetic averaging lemma

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