# Algebra and Geometry

## Research

The research program's breadth of expertise in numerous areas makes it unique in Sweden. The program is a strong center for physically inspired mathematics at the national level.

Our research in algebra and geometry presently undergoes rapid development by striking cross fertilisation between its two main areas but also through its strong interconnections with the quantum field theory and string theory of high energy physics. An example is mirror symmetry discovered in physics where homological algebra and related higher structures interact with symplectic and algebraic geometry.

We also conduct successful research in both commutative and non-commutative algebra. Our researchers in have contributed, among other things, to the development of the theory of trace invariants, Lie algebras and the new Auslander-Reiten theory.

## Seminars

The research programme has three active seminar series: algebra and geometry, geometry and physics and geometry and topology. The seminars are usually announced in the department's calendar.