Cohomological and Geometric Approaches to Rationality Problems

1. The Rationality of Certain Moduli Spaces of Curves of Genus 3
Ingrid Bauer, Fabrizio Catanese

2. The Rationality of the Moduli Space of Curves of Genus 3 after P. Katsylo
Christian Böhning

3. Unramified Cohomology of Finite Groups of Lie Type
Fedor Bogomolov, Tihomir Petrov, Yuri Tschinkel

4. Sextic Double Solids
Ivan Cheltsov, Jihun Park

5. Moduli Stacks of Vector Bundles on Curves and the King–Schofield Rationality Proof
Norbert Hoffmann

6. Noether’s Problem for Some p-Groups
Shou-Jen Hu, Ming-chang Kang

7. Generalized Homological Mirror Symmetry and Rationality Questions
Ludmil Katzarkov

8. The Bogomolov Multiplier of Finite Simple Groups
Boris Kunyavskiĭ

9. Derived Categories of Cubic Fourfolds
Alexander Kuznetsov

10. Fields of Invariants of Finite Linear Groups
Yuri G Prokhorov

11. The Rationality Problem and Birational Rigidity
Aleksandr V. Pukhlikov

Keywords: Mathematics, Algebraic Geometry, Topological Groups, Lie Groups, Group Theory and Generalizations