WEEKLY ACTIVITIES

Invariance of plurigenera in positive and mixed characteristic
Speaker: Iacopo Brivio (NCTS)

Time: 15h15, Friday, 11/2/2022

Join Zoom Meeting

https://us02web.zoom.us/j/89603210669?pwd=dDJyYnJHd3A5WlR1cFFkRUlYa3loUT09

Meeting ID: 896 0321 0669
Passcode: 340252

Abstract: A famous theorem of Siu states that the m-plurigenus P_m(X) of a complex projective manifold is invariant under deformations for all mgeq 0. It is well-known that in positive or mixed characteristic this can fail for m=1. In this talk I will construct families of smooth surfaces over a DVR X/R such that P_m(X_k)>>P_m(X_K) for all m>0 divisible enough. If time permits, I will also explain how the same ideas can be used to prove (asymptotic) deformation invariance of plurigenera for certain families of threefold pairs in positive and mixed characteristic.

For general information of the AGEA seminar, please check out

https://sites.google.com/ncts.ntu.edu.tw/agea-seminar

or the mirror site

http://www.math.ntu.edu.tw/~jkchen/agea-seminar.html

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