Tropical obstructions to stable rationality

Johannes NICAISE
KU Leuven and Imperial College London

Date(s) : 18/11/2021   iCal
14 h 00 min - 15 h 00 min

It is an old and thorny problem in algebraic geometry to determine which projective hypersurfaces are rational, or, more generally, stably rational, meaning that they become rational when we take the product with a projective space of sufficiently large dimension. After summarizing the principal known results, I will explain how one can use degeneration techniques and tropical methods to find new classes of non-stably rational hypersurfaces and complete intersections. This talk is based on joint work with John Christian Ottem.




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