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Calabi-Yau volumes and Reflexive Polytopes

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OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras

We study various geometrical quantities for Calabi-Yau varieties realized as cones over Gorenstein Fano varieties in various dimensions, obtained as toric varieties from reflexive polytopes.
One chief inspiration comes from the equivalence of a-maximization and volume-minimization in for Calabi-Yau threefolds, coming from AdS5/CFT4 correspondence in physics.
We arrive at explicit combinatorial formulae for many topological quantities and conjecture new bounds to the Sasaki-Einstein volume function with respect to these quantities. 
Based on joint work with Rak-Kyeong Seong and Shiing-Tung Yau.

This talk is part of the Isaac Newton Institute Seminar Series series.

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