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Calabi-Yau volumes and Reflexive Polytopes

Presented by: 
Yang-Hui He City University, London, University of Oxford
Friday 31st March 2017 - 14:30 to 15:30
INI Seminar Room 1
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons