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Prony’s method: an old trick for new problems
[SNAP-2018-004-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-06)
In 1795, French mathematician Gaspard de Prony invented
an ingenious trick to solve a recovery problem,
aiming at reconstructing functions from their values
at given points, which arose from a specific application
in ...
Topological recursion
[SNAP-2018-002-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-05)
In this snapshot we present the concept of topological
recursion – a new, surprisingly powerful formalism
at the border of mathematics and physics, which has
been actively developed within the last decade. After
introducing ...
Estimating the volume of a convex body
[SNAP-2018-015-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-30)
Sometimes the volume of a convex body needs to
be estimated, if we cannot calculate it analytically.
We explain how statistics can be used not only to
approximate the volume of the convex body, but also
its shape.
Computing with symmetries
[SNAP-2018-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-06)
Group theory is the study of symmetry, and has many
applications both within and outside mathematics.
In this snapshot, we give a brief introduction to symmetries,
and how to compute with them.
Tropical geometry
[SNAP-2018-007-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-19)
What kind of strange spaces hide behind the enigmatic
name of tropical geometry? In the tropics, just
as in other geometries, one of the simplest objects is
a line. Therefore, we begin our exploration by considering
tropical ...