SMS scnews item created by Claus Fieker at Fri 10 Dec 2010 1522
Type: Seminar
Distribution: World
Expiry: 14 Dec 2010
Calendar1: 14 Dec 2010 1500-1555
CalLoc1: Carslaw 535A
Auth: claus@109.104.233.220.static.exetel.com.au (fcla9404) in SMS-WASM

# Computational Algebra Seminar: Kasprzyk -- Reflexive polytopes and their role in Mirror Symmetry

Maximilian Kreuzer died on 26th November after many months fighting against a
severe illness. I want to take this opportunity to talk about one of his most
important contributions to toric geometry: the classification of the four
dimensional reflexive polytopes that he produced with Skarke in 2000.

This classification of 473,800,776 polyhedra provides most famous source of
Calabi-Yau threefolds (giving 30,108 distinct pairs of Hodge numbers), and is
obviously of considerable importance in string theory. I’ll attempt to sketch
the methods used by Kreuzer and Skarke to obtain this result, and how the
combinatorial data should be interpreted.


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