## Scientific General Events

The content of the course will be based on the interests and expertise of the participants. Topics of 3-lecture series will include, but be in no sense limited to:

1. Bousfield Localization and Axiomatic Stable Homotopy Categories

2. Moduli Spaces of Riemann Surfaces

3. Transfer in Stable Homotopy Theory

4. Ring Spectra

combinatorics, algebraic topology, algebraic geometry, and applications

Topics of interest include:

- theoretical and numerical analysis aspects of novel finite element or finite volume discretizations

- adaptivity

- new preconditioning techniques for linear/nonlinear systems

- non-conforming methods

- new stabilization strategies.

Featured application areas:

- laser physics
- electronic engineering
- communication systems
- mechanical testing environments
- traffic flows
- control theory
- population dynamics
- dynamics of neuronal networks
- networks with delays
- disease dynamics

Blow-up arguments and the Navier-Stokes equations

- Yoshikazu Giga (University of Tokyo)

Stability of Large Amplitude Interfacial Waves

- Paul Milewski

Numerical Methods for the Monge-Amp\`ere Equation with Transport Boundary Conditions

- Brittany Froese (Simon Fraser University)

Invariant Gibbs measures of the energy for shell models of turbulence

- Hakima Bessaih

A Hierarchy of PDE Reduced Models for Rotating Stratified Flows

- Leslie Smith, University of Wisconsin, Madison

On the Cauchy problem for Gross-Pitaevskii hierarchies

- Natasa Pvlovic

Climate Science, Waves, and PDE’s for the Tropics: Observations, Theory, and Numerics

- Andrew J. Majda (NYU)

Global existence for the dissipative critical surface quasi-geostrophic equation.

- Omar Lazar

Existence and qualitative behaviour of solutions to lubrication equations in the presence of strong slippage

- Georgy Kitavtsev (Max Planck Institute for Mathematics in the Sciences, Germany)

A Monge-Kantorovich mass transport problem for a discrete distance

- José Mazón (Universitat de Valencia, Spain)

Weak Lagrangian solutions for the Semi-Geostrophic system in physical space

- Adrian Tudorascu

Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation

- Adam Oberman (Simon Fraser University, Canada)

Fast finite difference solvers for singular solutions of the elliptic Monge-Ampère equation

- Adam Oberman (Simon Fraser University, Canada)

Global solutions of the Landau-Lifshitz system

- Stephen Gustafson (University of British Columbia, Canada)

Geophysical turbulence at intermediate scales etc

- Michael L. Waite (Unviersity of Waterloo, Canada)

Long time solvability of the Navier-Stokes-Boussinesq Equations and Related Topics

- Tsuyoshi Yoneda

On the Loss of Regularity for the Three-Dimensional Euler Equations

- Edriss Titi

Immersing complete graphs