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Brendan Hassett, Recent Progress and Questions on Stable Rationality

May 10 @ 11:00 am - 12:00 pm KST

on-line

     Speaker

Brendan Hassett
ICERM / Brown Univ.
A complex variety X is rational if its field of meromorphic functions is isomorphic to C(t1, …, td), the function field of projective space Pd. It is stably rational if X × Pm is rational for some m. Topological and complex invariants give criteria for whether varieties are stably rational but a simple characterization remains elusive. We present results for varieties admitting fibrations in conics, quadric hypersurfaces, and rational surfaces using techniques like decomposition of the diagonal. We close with some outstanding open problems. (joint with Kresch and Tschinkel)

Details

Date:
May 10
Time:
11:00 am - 12:00 pm KST
Event Category:
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Venue

on-line

Organizer

Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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