Calabi-Yau varieties of large index

Chengxi Wang (UCLA)

Fri Dec 2, 20:00-21:00 (7 days ago)

Abstract: A projective variety $X$ is called Calabi-Yau if its canonical divisor is $\mathbb{Q}$-linearly equivalent to zero. The smallest positive integer $m$ with $mK_X$ linearly equivalent to zero is called the index of $X$. Using ideas from mirror symmetry, we construct Calabi-Yau varieties with index growing doubly exponentially with dimension. We conjecture they are the largest index in each dimension based on evidence in low dimensions. We also give Calabi-Yau varieties with large orbifold Betti numbers or small minimal log discrepancy. Joint work with Louis Esser and Burt Totaro.

algebraic geometry

Audience: researchers in the topic

( slides | video )

Comments: The synchronous discussion for Chengxi Wang’s talk is taking place not in zoom-chat, but at tinyurl.com/2022-12-02-cw (and will be deleted after ~3-7 days).


Stanford algebraic geometry seminar

Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880

If you have registered once, you are always registered for the seminar, and can join any future talk using the link you receive by email. If you lose the link, feel free to reregister. This might work too: stanford.zoom.us/j/95272114542

More seminar information (including slides and videos, when available): agstanford.com

Organizer: Ravi Vakil*
*contact for this listing

Export talk to