Algebraic Geometry Seminar | Varieties with large index

Time：Friday 11:00-12:00 am April 19, 2024

Venue：Jingzhai 105 （静斋105） Zoom Meeting ID: 262 865 5007 Passcode: YMSC

Organizer：Caucher Birkar，曲三太，陈炳仪

Speaker：Chengxi Wang University of California, Los Angeles

Abstract

It is attractive to classify Fano varieties with various types of singularities that originated from the minimal model program. For a Fano variety, the Fano index is the largest integer m such that the anti-canonical divisor is Q-linearly equivalent to m times some Weil divisor. For Fano varieties of various singularities, I show the Fano indexes can grow double exponentially with respect to the dimension. Those examples are also conjecturally optimal and have a close connection with Calabi-Yau varieties of extreme behavior.

Speaker

I am a Hedrick Assistant Professor at UCLA Mathematics Department mentored by Burt Totaro.

I completed my PhD at Rutgers University-New Brunswick in 2020 under the supervision of Lev Borisov.

Research Interest:

Algebraic Geometry

DATEApril 18, 2024

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