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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Diophantine Geometry II SemesterSoSe 2025 Lecturer Walter Gubler Type of course (Veranstaltungsart) Vorlesung German title Diophantische Geometrie II Contents Diophantine Geometry is a very old and fascinating field. It deals with entire or rational solutions of polynomial equations. A famous example is Fermat's conjecture which was open for many years until Wiles solved it. In Diophantine Geometry II, we will study local heights and then prove the Mordell-conjecture. We will follow Vojta's proof with simplification of Bombieri. This proof is more elementary than the original proof of Faltings for which Faltings received the Fields medal in 1986. Literature Bombieri, Gubler: Heights in Diophantine Geometry; Hindry, Silverman: Diphantine Geometry; Lang: Fundamentals of Diophantine Geometry; Serre: Lectures on the Mordell--Weil theorem. Recommended previous knowledge Algebraic Geometry I and Diophantine Geometry I are helpful, but not absolutely necessary as we recall the needed results. Time/Date Mo, Mi 8-10 Location M 104 Registration
BV, MV, MArGeo ECTS 9 |