Seminar

Lie algebras, Galois theory, and deformations of Calabi-Yau varieties

Higher algebraic structures in algebra, topology and geometry

24 March 14:15 - 16:00

Lukas Brantner - Oxford University / Université Paris-Saclay

We give an overview of some recent developments in algebraic geometry in characteristic p. First, we introduce a good substitute of dg Lie algebras in this setting, which leads to a classification of formal moduli problems. Next, we use these new Lie algebras to construct a Galois correspondence for purely inseparable field extensions, generalising a result of Jacobson at height one. Finally, we prove that ordinary Calabi-Yau varieties in characteristic p are unobstructed and admit canonical lifts, generalising results of Serre-Tate, Deligne-Nygaard, Ward, and Achinger-Zdanowic. This talk is based on separate joint works with Mathew, Taelman, and Waldron.

 

Click here to watch the seminar

Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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