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SUMMARY:Calabi-Yau volumes and Reflexive Polytopes - Yang-Hui He (City Uni
 versity\, London\; University of Oxford)
DTSTART:20170331T133000Z
DTEND:20170331T143000Z
UID:TALK71729@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We study various geometrical quantities for Calabi-Yau varieti
 es  realized as cones over Gorenstein Fano varieties in various dimensions
 \, obtained as toric varieties from  reflexive polytopes. <br>One chief in
 spiration comes from the equivalence of a-maximization and  volume-minimiz
 ation in for Calabi-Yau threefolds\, coming from AdS5/CFT4  correspondence
  in physics. <br>We arrive at explicit combinatorial formulae for many top
 ological  quantities and conjecture new bounds to the Sasaki-Einstein volu
 me  function with respect to these quantities.&nbsp\;<br>Based on joint wo
 rk with Rak-Kyeong Seong and Shiing-Tung Yau.<br><br>
LOCATION:Seminar Room 1\, Newton Institute
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