Birational Geometry, Rational Curves, and Arithmetic

1. Infinite Transitivity on Affine Varieties
Ivan Arzhantsev, Hubert Flenner, Shulim Kaliman, Frank Kutzschebauch, Mikhail Zaidenberg

2. The Birational Geometry of the Hilbert Scheme of Points on Surfaces
Aaron Bertram, Izzet Coskun

3. Isoclinism and Stable Cohomology of Wreath Products
Fedor Bogomolov, Christian Böhning

4. Unirationality and Existence of Infinitely Transitive Models
Fedor Bogomolov, Ilya Karzhemanov, Karine Kuyumzhiyan

5. Birational Geometry via Moduli Spaces
Ivan Cheltsov, Ludmil Katzarkov, Victor Przyjalkowski

6. Curves of Low Degrees on Fano Varieties
Olivier Debarre

7. Uniruledness Criteria and Applications
Stefan Kebekus

8. The Cone of Curves of K3 Surfaces Revisited
Sándor J. Kovács

9. Around and Beyond the Canonical Class
Vladimir Lazić

10. On the Ubiquity of Twisted Sheaves
Max Lieblich

11. Algebraic Surfaces in Positive Characteristic
Christian Liedtke

12. Arithmetic of Del Pezzo surfaces
Anthony Várilly-Alvarado

Avainsanat: Mathematics, Algebraic Geometry, Number Theory, Geometry