Registration

Welcome

Research talk

• Anna Wienhard

Panel: What is mathematics research like?

Panel: What to do with a PhD in mathematics?

Research talk

• Claudia Alfes

Lecture

• Andreas Thom

Research talk

• Markus Schmidtchen

PhD student talk

• Yue Jiao (MPI CBG & CSBD)

PhD student talk

• Leon Renkin (MPI CBG & CSBD)

Panel: How to apply for a PhD in mathematics?

Research talk: "Solving equations in groups (but not teams)"

• Laura Ciobanu

For a group or semigroup or ring G, solving equations where the coefficients are elements in G and the solutions take values in G can be seen as akin to solving systems of linear equations in linear algebra, Diophantine equations in number theory, or more generally polynomial systems in algebraic geometry. I will give a short, nontechnical, survey about solving equations in infinite nonabelian (semi)groups, with emphasis on the free and hyperbolic ones. In particular, I will explain that the solutions to equations can be beautifully described in terms of words and languages, and that this was made possible by results coming from both geometry and computer science. No background in computer science is required, only some basic group theory.