# Nonlinear diffusion processes: geometric ideas and beyond

## TL;DR

This survey explores nonlinear diffusion processes, emphasizing geometric concepts and extending beyond traditional approaches, providing a comprehensive overview suitable for mathematicians and researchers interested in advanced diffusion theories.

## Contribution

It offers a broad overview of geometric ideas in nonlinear diffusion processes, highlighting recent developments and future directions in the field.

## Key findings

- Summarizes key geometric methods in nonlinear diffusion
- Identifies new research directions and open problems
- Connects nonlinear diffusion with broader mathematical concepts

## Abstract

This is a survey article written for the Springer's Intelligencer, in the occasion of the 2018 International Congress of Mathematicians.