Pluricanonical fibrations and automorphism groups of compact complex manifolds

Time：Fri., 15:30-16:30, Jan. 17, 2025

Venue：B725, Shuangqing Complex Building A

Organizer：Caucher Birkar，Jia Jia

Speaker：Constantin Shramov

Algebraic Geometry Seminar

Organizers：

Caucher Birkar，Jia Jia 贾甲

Speaker：

Constantin Shramov (HSE University)

Time：

Fri., 15:30-16:30, Jan. 17, 2025

Venue：

B725, Shuangqing Complex Building A

Online：

Zoom Meeting ID: 262 865 5007

Passcode: YMSC

Pluricanonical fibrations and automorphism groups of compact complex manifolds

Let X be a compact complex manifold, and let Y be the image of its pluricanonical map. According to a theorem due to Deligne and Ueno, the image of the automorphism group of X in the automorphism group of Y is finite if X is Moishezon. I will discuss an approach to possible generalizations of this result for the case of arbitrary compact complex manifolds. The talk is based on a joint work with Konstantin Loginov.

DATEJanuary 15, 2025

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