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Colloquium abstracts

Anand Sawant
TIFR, Mumbai
May 30, 2024

The rationality problem for hypersurfaces:  Algebraic geometry is the study of objects locally defined by common zero sets of polynomials. Hypersurfaces are objects given by the vanishing of a single polynomial. A classical problem in algebraic geometry, which is still largely unsolved, asks when a given hypersurface in a projective space is rational. In this talk, I will explain the statement of the problem and briefly summarize what is known.

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