Correction: SISSA algebraic geometry online seminars - Matteo GALLET
Alessandro Nobile
anobile at sissa.it
Wed Oct 28 16:03:29 CET 2020
The seminar of Matteo GALLET will be held tomorrow 29 OCTOBER, not as
erroneously stated before on 29 November.
Sorry for the spam.
Best,
Alessandro
=====================================================
Dear all,
this is to announce the first seminar of the group of algebraic
geometry in SISSA.
SPEAKER: Matteo GALLET - SISSA and
TITLE: Zero-sum cycles in flexible polyhedra
WHEN: Thursday, November 29 at 5.00pm (Rome)
WHERE: Link Zoom:
https://sissa-it.zoom.us/j/82882483158?pwd=bUsyY0ZwRW8vbHVhSmVEeVJWQVlzZz09
ID riunione: 828 8248 3158
Passcode: 446989
ABSTRACT: We show that if a polyhedron in the three-dimensional affine
space with triangular faces is flexible, i.e., can be continuously
deformed preserving the shape of its faces, then there is a cycle of
edges whose lengths sum up to zero once suitably weighted by 1 and -1.
We do this via elementary combinatorial considerations, made possible by
a well-known compactification of the three-dimensional affine space as a
quadric in the four-dimensional projective space. The compactification
is related to the Euclidean metric, and allows us to use a simple
degeneration technique that reduces the problem to its one-dimensional
analogue, which is trivial to solve. This is a joint work with G.
Grasegger, J. Legerský, and J. Schicho.
Best regards,
Alessandro
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