Invariance of plurigenera and KSBA moduli in positive and mixed characteristic

Location: Teams
Date(s): Thursday 9th February 2023 (10:00-11:00)
Contact: Event Convenor Contact: A.M.Kasprzyk@nottingham.ac.uk
Description: Speaker's Name: Iacopo Brivio
Speaker's Affiliation: NCTS
Speaker's Research Theme(s): Algebraic Geometry Seminar,
Abstract:
A famous theorem by Siu states that plurigenera are invariant under smooth deformations for complex projective manifolds, a result which is a cornerstone of higher dimensional moduli theory. In this talk we will explore some examples showing that Siu's theorem fails in positive and mixed characteristic, then discuss the implications at the level of moduli theory, as well as some related questions.

Venue: Teams
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3abc0bccd250d74459ac05c0b3e0ff9b76%40thread.tacv2/1674541071500?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%222dbd114f-1c6d-4e8b-aab9-fadd00bd8602%22%7d

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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