# Seminar

## Pansu differentiability does not imply differentiability

## Geometric Singular Perturbation Analysis of Mixed-Mode Dynamics in Pituitary Cells

## POD/DEIM Reduced-Order Strategies for Efficient Four Dimensional Variational Data Assimilation

## Classical Hodge Decomposition Theorem

## Rank-one convexity does not imply quasiconvexity

In this talk, we discuss Sverak's celebrated example of a function which is rank-one convex but not quasiconvex. We consider variational integrals of the type $$\displaystyle\int_{\Omega}f(\nabla u(x))dx$$ defined for sufficiently regular functions $u:\Omega\to\mathbb{R}^m$, where $\Omega$ is a bounded open subset of $\mathbb{R}^n$.