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Yang-Hui He (City University, London; University of Oxford)
Friday 31 March 2017, 14:30-15:30
Calabi-Yau volumes and Reflexive Polytopes
â ī¸ Important: OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras
- đ¤ Speaker: Yang-Hui He (City University, London; University of Oxford)
- đ Date & Time: Friday 31 March 2017, 14:30 - 15:30
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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