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# Schrödinger's Smoke

## Ulrich Pinkall T.U. Berlin

Fluid simulations in Computer Graphics struggle with the problem that on the one hand in most situations of interest the real flow is dominated by very thin vortex sheets and filaments, which also are responsible for much of the fine detail of the flow. On the other hand, feasible numerical grid resolutions are unable to resolve these thin structures and result in a substantial amount of numerical viscosity. Many rather artificial remedies have been proposed for this problem.

In this talk we propose to use the equations usually reserved for quantum fluids also for the simulation of ordinary fluids. We demonstrate that this can help to overcome some of the mentioned problems. Moreover, the resulting numerical algorithm is extermely simple and efficient.

Sala de conferencias, IEMath

# A properly embedded holomorphic disc in the ball with finite area and dense boundary curve

## Franc Forstneric Univerza v Ljubljani

I will describe the construction of a properly embedded holomorphic disc in the unit ball of $\mathbb{C}^2$ having the following surprising combination of properties: - on the one hand, the disc has finite area, and hence is the zero set of a bounded holomorphic function on the ball; - on the other hand, its real analytic boundary curve is everywhere dense in the sphere.

Seminario 1ª Planta, IEMATH

# On the geometry of the set of compact subsets of riemannian spaceforms

## Didier A. Solís Gamboa Universidad Autónoma de Yucatán, México DF

In this talk we present some interesting features of the geodesic structure of the space of compact subsets of $\mathbb{R}^n$ and $\mathbb{H}^n$ endowed with the Hausdorff metric. In particular, we show that such spaces are not spaces of curvature bounded from below. We further investigate connections between these spaces and the Hilbert cube.

Seminario 1ª Planta, IEMATH

# Lectures on PDEs and Geometry

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Professor Xavier Cabré (ICREA and Universitat Politécnica de Catalunya, Barcelona, Spain) will give a 6-hour course on "Stable solutions to some elliptic problems: minimal cones, the Allen-Cahn equation, and blow-up solutions".

The Lectures will take place in Departamento de Matemáticas of the Universidad Autónoma de Madrid, with the following schedule:
1. Tuesday, January 23 2018 Aula 520, 11:00-13:00
2. Wednesday, January 24 2018 Aula 520, 11:00-13:00
3. Thursday, January 25 2018 Aula 520, 11:00-13:00

# Seventh Iberoamerican Congress on Geometry January 22nd-26th, 2018. Valladolid, Spain

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The wealth of mathematics to which Riemann surfaces and algebraic curves are central, as a tool is now stunning, in differential geometry, topology, algebraic geometry, singularities, mathematical physics, dynamics, hyperbolic geometry and other subjects constantly developing new techniques to work with curves, and applying them in ever changing and evolving directions. The Iberoamerican Congresses on Geometry (ICG’s) are unique in bringing people from these diverse mathematical communities together, and fostering an exchange of ideas among mathematicians in different fields, united by Riemann surfaces and related constructions.

The 7th congress will showcase the recent advances in a broad range of geometric subjects. The program consists of nine plenary talks, seven special sessions and a poster session. Plenary talks, about current issues and of historical interest, are by experts in such core areas traditionally represented at the ICG’s as Teichmüller theory, Riemann surfaces, abelian varieties, dynamics, and foliations, but also in more differential-geometric pursuits of minimal surfaces and study of min-max surfaces, and topics in probability, tropical geometry, and mathematical physics. Topics of the special sessions are algebraic surfaces, abelian varieties, hyperbolic geometry and Teichmüller theory, algebraic and complex geometry, topology of singularities, geometry and physics, and holomorphic and algebraic foliations. Only two special sessions will run in parallel, and each session consists of talks of 40 minutes.

# Minimal surfaces and related topics

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http://gigda.ugr.es/minimal2018/

Alessandro Carlotto (ETH Zurich)
Lynn Heller (Leibniz University Hannover)
David Hoffman (Stanford University)
Miyuki Koiso (Kyushu University)
Ernst Kuwert (University of Freiburg)
Rafe Mazzeo (Standford University)
William H. Meeks III (UMass at Amherst)