# Topology Seminar-Isoperimetric type inequalities in geometry and algebra

Speaker:Askold Khovanskii (University of Toronto)

Date and time: Friday, February 21, 1:00--2:00pm

Place: Rome 771

Title: Isoperimetric type inequalities in geometry and algebra

Abstract: .A beautiful isoperimetric inequality was know to Ancient Greek. It claims that the ball has the biggest area among all planar domains with fixed length of

the boundary. This inequality has many interesting geometric generalizations. Very surprisingly, there are analogous inequalities in algebra. Corresponding

algebraic inequalities deal with numbers of solutions of different generic systems of polynomial equations in several complex variables.

I will talk about such inequalities and about other relations between

Algebraic and Convex Geometries. This talk will be accessible to graduate

students.