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From the triangle inequality to the isoperimetric inequality

colloquium

Title : From the triangle inequality to the isoperimetric inequality.
Speaker : Prof. S. Keshavan from IMSc Chennai,
Date : 10/03/2021, 05:30 PM , Online Mode.

Abstract:

Starting from the fact that the sum of the lengths of two sides of a triangle is greater than that of the third side, we will study a series of shape optimization problems for polygons and, finally, deduce the classical isoperimetric inequality in the plane. The talk will be accessible to those with a familiarity with plane geometry (triangles) and elementary notions of analysis like `supremum,’ `limits’ and `continuity’.