### Rationality problem for conic bundles

• Speaker：Prof. Yuri Prokhorov
• Organizer：Beijing-Moscow Mathematics Colloquium
• Start Time：2022-09-16 16:00
• End Time：2022-09-16 17:00
• Venue：online

To Join Zoom Meeting:

https://us02web.zoom.us/j/89138801618?pwd=VXJMZzIzMTVUcTRtMTFOQlpwaEdIdz09

Meeting ID: 891 3880 1618

Abstract: A conic bundle is a flat morphism $f: X\to Z$ of smooth algebraic varieties whose fibers are plane conics. I will discuss the problem of rationality of algebraic varieties having conic bundle structures. First, I recall almost classical results on birational properties of surface conic bundles over non-closed fields. Then I concentrate on the three-dimensional case. The main focus will be on the conjectural criterion of rationality.