Olivetti Club

Beihui Yuan
The Batyrev mirror construction of Calabi-Yau varietie

Tuesday, September 8, 2020 - 4:30pm
Online

According to the faith of some physicists, Calabi-Yau varieties are shapes for the six “unseen” spacial dimension of our universe. There are many ways of constructing a Calabi-Yau variety. One of them is to cut a Fano toric variety with an anti-canonical section. This construction actually gives us a (conjecturally) mirror symmetric pair. Also, in this case the Hodge numbers of the Calabi-Yau variety may be obtained from the combinatorial data of the fan defining the toric variety. I’ll introduce the construction, and maybe talk about some problems on Calabi-Yau varieties constructed in this way if time permits.

Meeting ID: 933 9843 5261