Trivial Canonical Class Discussion Session April 14, 2020 - - PowerPoint PPT Presentation

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Trivial Canonical Class Discussion Session April 14, 2020 - - PowerPoint PPT Presentation

Varieties with Trivial Canonical Class Discussion Session April 14, 2020 Presentation 10 lectures available on YouTube 5 lectures recorded last week 5 lectures were recorded during the Summer School Foliations and Algebraic Geometry


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Varieties with Trivial Canonical Class

Discussion Session April 14, 2020

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Presentation

  • 10 lectures available on YouTube
  • 5 lectures recorded last week
  • 5 lectures were recorded during the Summer School

Foliations and Algebraic Geometry hosted at the Institut Fourier, Grenoble back in 2019.

  • Information about the workshop, including references

and links to the talks, can be found at the website https://www.cirm-math.com/virtual-event-2250.html

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Lectures

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Lectures

Ekaterina Amerik

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Lectures

Arnaud Beauville

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Lectures

Daniel Greb

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Lectures

Henri Guenancia

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Lectures

Andreas Höring

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Lectures

Stéphane Druel

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Why study (s (singular) varieties with trivial canonical class ? ?

According to the current philosophy in birational geometry, varieties with trivial canonical class are one of the building blocks of arbitrary algebraic varieties, together with Fano varieties and varieties of general types. More precisely, singular varieties with trivial canonical class and klt singularities, conjecturally, appear as general fibers of the Iitaka- Kodaira fibration of the minimal model

  • f non-uniruled varieties.
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Decomposition Theorem for Singular Varieties Statement

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Decomposition Theorem for Singular Varieties Timeline

October, 2011 - Singular spaces with trivial canonical class by Greb, Kebekus, and Peternell. June, 2016 - A decomposition theorem for singular spaces with trivial canonical class of dimension at most five by Druel April, 2017 - Klt varieties with trivial canonical class – Holonomy, differential forms, and fundamental groups by Greb, Guenancia, and Kebekus October, 2017 - Algebraic integrability of foliations with numerically trivial canonical bundle by Höring and Peternell Dates are from the original arXiv submission.

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Questions