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# On the existence of translators in slabs

## Giuseppe Tinaglia King's College London

In this talk I will present recent joint work with Bourni and Langford. We prove that for any $0< A<\pi /2$ there exists a strictly convex translating solution of mean curvature flow in $\mathbb{R}^n$ contained in a slab of width $\pi/cosA$ and in no smaller slab.

Seminario 1ª Planta, IEMATH

# Curvature estimates and applications

## Giuseppe Tinaglia King's College London

In this talk I will discuss the significance of curvature estimates for constant mean curvature surfaces, present some classical ones and their applications.

# The geometry of constant mean curvature surfaces embedded in $\mathbb{R}^3$

## Giuseppe Tinaglia King's College London

In this talk I will discuss recent results on the geometry of constant mean curvature ($H\neq 0$) surfaces embedded in $\mathbb{R}^3$. Among other things I will prove a radius and curvature estimates for constant mean curvature disks embedded in $\mathbb{R}^3$. It follows from the radius estimate that the only complete constant mean curvature disk embedded in $\mathbb{R}^3$ is the round sphere.
This is joint work with Bill Meeks.

# Giuseppe Tinaglia

## King's College London

Number of talks
3
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1
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Country of origin
Italia