What is ... the secret of the zeta function?

This page hosts information on Hannah Sjöberg's talk "What is ... the Euler characteristic of a polytope?" at the "What is ...?" seminar. This talk will help you better understand the talk by Raman Sanyal.

Where & When

  • Friday, November 9, 2018, 1.00pm @ room Netwton, 2nd floor at Urania

Abstract

  • The Euler characteristic of a non-empty (solid) polytope P is the
alternating sum of the number of non-empty i-dimensional faces of P. The Euler-Poincaré formula asserts that this alternating sum is equal to 1. In this talk we discuss how the Euler characteristic can be constructed as a valuation. The construction has nice applications: we will see that it gives us simple proofs of the Euler-Poincaré formula and of a theorem on the number of regions in a hyperplane arrangement.
Topic revision: r1 - 05 Nov 2018, AndrasTobias
 
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