Seminario di Geometria 21.01.2011
Il Professor Dan Zaffran, KAIST (South Korea)
terra' un seminario dal titolo
"Euler's formula and (much) more"
il giorno Venerdi' 21 Gennaio 2011 , ore 10.00 precise, nell'aula seminari
del Dipartimento di Matematica Applicata G. Sansone.
Abstract: A cube has F=6 faces, E=12 edges and V=8 vertices. A pyramid with
a square base has F=5 faces, E=8 edges and V=5 vertices. Euler discovered in
1750 that for these two cases, or for any other polyhedron, F-E+V=2. He
published the result, but he confessed that he was not able to prove it!
This celebrated "Euler's formula" is the starting point of many results and
conjectures in higher dimensions. I will explain some of them, and focus on
the surprising methods that have been used to solve these problems:
topological manifolds and their algebraic topology, algebraic geometry...