Pure Maths Colloquium: Diane Maclagan

This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.

Where: Zoom 893 0448 9883
When: Oct 15 2020 @ 16.00
Video: Link (internal)
Speaker: Diane Maclagan University of Warwick
Title: Tropical geometry

Tropical geometry is geometry over the tropical semiring, where multiplication is replaced by addition and addition is replaced by minimum. This “tropicalization” procedure turns algebraic varieties (solutions to polynomial equations) into polyhedral complexes, which are combinatorial objects. A surprisingly large amount of information about the variety is still present in tropical “combinatorial shadow”. In this talk I will introduce tropical varieties, and indicate some of their applications, both inside and outside algebraic geometry.