Calabi-Yau volumes and Reflexive Polytopes
55 mins 5 secs,
802.44 MB,
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About this item
| Description: |
He, Y-H (City University, London, University of Oxford)
Friday 31st March 2017 - 14:30 to 15:30 |
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| Created: | 2017-04-04 10:24 |
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| Collection: | Operator algebras: subfactors and their applications |
| Publisher: | Isaac Newton Institute |
| Copyright: | He, Y-H |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| 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. |
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