## Summer/Winter Schools

**VSM Summer School 2024**

**September 15 to September 21, 2024**

**in Dienten am Hochkönig**

The School takes place at the Universitätssport- und Seminarzentrum Dientnerhof.

The program will start on Monday, September 16 in the morning and finish on Friday, September 20 in the afternoon.

Participants are expected to arrive on Sunday, September 15 and to stay until Saturday, September 21. Registration will open in time and all student members of the VSM are welcome.

**The confirmed speakers are:**

**Grégory Miermont, École Normale Supérieure de Lyon – Combinatorial and probabilistic aspects of maps**

A map is a topological surface obtained by identifying in pairs the edges of a finite collection of polygons. We consider maps as abstract combinatorial objects, so that the countable collection of maps of a given topology can be seen as a set of discrete metrics defined on a fixed topological surface. Therefore, considering models of random maps, for instance, a uniformly random triangulation of the sphere with a fixed number

*2n*of triangles, provides a natural setting for studying 2-dimensional random metrics. In this context, a question of interest concerns the asymptotic geometry of such a random object as

*n*goes to infinity.

In these lectures, we will review some of the relevant combinatorial aspects of maps, and discuss how it allows to define limiting objects that are, in a sense, canonical models of random surfaces.

**Laure Saint-Raymond, Institut des Hautes Études Scientifiques (IHES) – An introduction to kinetic theory**Lecture 1 : kinetic transport equations, propagation of singularities, dispersion, averaging lemma

Lecture 2 : mean field models

Lecture 3 : collisional models

**Bernd Sturmfels, Max Planck Institute for Mathematics in the Sciences Leipzig – Computational Algebraic Geometry**Lecture 1: The quadratic equation revisited

Lecture 2: Beyond linear algebra

Lecture 3: The two lives of the Grassmannian

Lecture 4: Algebraic varieties in quantum chemistry

***

**VSM Summer School 2023****September 10 to 16, 2023 in Dienten am Hochkönig**

**Stefanie Sonner, Radboud University**Degenerate Diffusion Equations and Applications in the Modelling of Biofilms

**Uli Wagner, IST Austria**Topological Methods in Discrete Mathematics and Theoretical Computer Science

**Wadim Zudilin, Radboud University**A Rational Introduction to Irrationality

***

**VSM Summer School 2022****18-24 September, 2022 in Weißensee**

**Arnaud Chéritat, Institut de Mathématiques de Toulouse**One Dimensional Dynamics

**Mark Peletier, TU Eindhoven**

Some Mathematical Aspects of Deep Learning

**Karen Vogtmann, University of Warwick**

Moduli Spaces of Graphs and Graph Complexes

***

**VSM Summer School 2021****19-25 September, 2021 at Weißensee**

**Alessandra Iozzi, ETH Zurich**Lattices in SL(n,R), and more…

**Joachim Rosenthal, University of Zurich**The mathematical Foundations of Information theory from Claude Shannon

An introduction to Mathematical Coding Theory

**An Overview to Public Key Cryptography**

**Fredi Tröltzsch, TU Berlin**

An Introduction to Optimal Control of Partial Differential Equations

***

**VSM Summer School 2020****13-19 September, 2020 at Weißensee**

**Oswin Aichholzer, TU Graz**

Crossing numbers of complete and complete bipartite graphs

**Elisa Davoli, TU Wien**

Effective theories for composite materials: from two-scale convergence to chirality effects

**Philipp Petersen, University of Vienna**

Four key ideas in data science and machine learning

*****VSM Summer School 2019**

**22-28 September, 2019 at Weißensee**

**Alin Bostan, INRIA**

Efficient experimental mathematics for combinatorics and number theory

**Diogo Gomes, KAUST**

An introduction to symbolic mathematics with applications to partial differential equations

**Alfio Quarteroni, Politecnico di Milano and Ecole Polytechnique Fédérale de Lausanne (EPFL)**Mathematical and numerical models for multi-physics applications

***

**VSM Winter School on Quantum Computation****9-15 March, 2019 in Dienten am Hochkönig**

**Ämin Baumeler, Austrian Academy of Sciences**

Introduction to Quantum Computation

**Barbara Kraus, Universität Innsbruck**

Entanglement Theory

**Norbert Schuch, Max Planck Institute of Quantum Optics**Entanglement in Complex Quantum Systems

***

**VSM Summer School 2018****16-22 September, 2018 at Weißensee**

**László Erdős, IST Austria**

Random matrices and disordered quantum systems

**Adolfo Quiros Gracián, Universidad Autónoma de Madrid**

Elliptic curves and public key cryptography

**Hans Schoutens, New York City College of Technology**Ultraproducts at the cross-roads of model-theory, algebra and geometry

***

**VDS Summer School 2017****September 2-8, 2017, Obergurgl**

**Henry Cohn, MIT & Microsoft Research**

Packing in high dimensions

**Matthias Kreck, Universität Bonn**

A panorama of manifolds in dimensions one to eight

**Josef Teichmann, ETH Zürich**

Affine processes: theory, applications and new developments

***

**VDS Summer School 2016****September 18-23, 2016, Obergurgl**

**Eduard Feireisl, Charles University Prague**

The Navier-Stokes millennium prize problem

**Joseph M. Landsberg (Texas A&M University, College Station)**

Uses of geometry in theoretical computer science