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Lüroth’s Theorem & Rational Parametrization

August 29 @ 4:00 pm - 5:00 pm

We will start with the basic notion of field extensions and transcendental extensions of fields. We will then discuss
the Lüroth’s Theorem, which is a classical result in Algebra and says that every subfield (containing the field k) of a
simple transcendental extension k(X) is also a simple transcendental extension of k. The theorem, which is purely
algebraic in nature has a very deep geometric consequence, viz., every one-dimensional variety which is unirational
is also birational.Discipline/Coordinating Entity: Mathematics


August 29
4:00 pm - 5:00 pm
Event Category: