Hodge index theorem for adelic line bundles

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Video in TIB AV-Portal: Hodge index theorem for adelic line bundles

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Hodge index theorem for adelic line bundles
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The Hodge index theorem of Faltings and Hriljac asserts that the Neron-Tate height pairing on a projective curve over a number field is equal to a certain intersection pairing in the setting of Arakelov geometry. In the talk, I will present an extension of this result to adelic line bundles on higher dimensional varieties over finitely generated fields. Then I will talk about its relation to the non-archimedean Calabi-Yau theorem and its application to algebraic dynamics. This is a joint work with Shou-Wu Zhang.
Mathematical analysis Maxima and minima Figurate number Theory
Lecture/Conference Physical law Division (mathematics) Cuboid Average Element (mathematics)
Lecture/Conference Multiplication sign Maxima and minima Right angle Latent class model Variance Predictability
Explosion Group action Lecture/Conference Multiplication sign Insertion loss Special unitary group Euler angles Maß <Mathematik> Resultant Variance Maß <Mathematik> 19 (number)
Lecture/Conference Fiber bundle Maxima and minima Knot
Area Voting Lecture/Conference Physical law 1 (number) Musical ensemble Moving average Maxima and minima Energy level Latent class model Resultant Predictability
Sine Lecture/Conference Model theory Maxima and minima Coefficient Mereology Directed graph
Inclusion map Goodness of fit Group action Lecture/Conference Moving average Kerr-Lösung Latent class model Mereology Maß <Mathematik> Maß <Mathematik> Newton's law of universal gravitation
Computer programming 12 (number) Sine Direction (geometry) Multiplication sign Model theory Maxima and minima Numerical analysis Variance Element (mathematics) Finite element method Oval Lecture/Conference Order (biology) Resultant
Multiplication sign Maxima and minima Latent class model Mereology Lecture/Conference Term (mathematics) Moving average Modulform Physical law Right angle Family Resultant Newton's law of universal gravitation
Oval Lecture/Conference Amsterdam Ordnance Datum Numerical analysis
Lecture/Conference Maxima and minima Physical law Newton's law of universal gravitation Flag
Group action Twin prime Lecture/Conference Meeting/Interview Logarithm Moving average 3 (number) Division (mathematics) Euler angles Maß <Mathematik> Leak
Meeting/Interview Lecture/Conference Equals sign Moment (mathematics) Curve fitting Physical system
Point (geometry) Area Computer programming Group action Building Multiplication sign Model theory Content (media) Maxima and minima 3 (number) Line (geometry) Latent class model Mereology Rule of inference Permutation Leak Explosion Oval Dedekind cut Lecture/Conference Physical law Resultant Newton's law of universal gravitation
Trigonometry Dependent and independent variables Group action Confidence interval Multiplication sign Decision theory Maxima and minima Barrelled space Latent class model Hand fan Explosion Lie group Universe (mathematics) Moving average Modulform Maß <Mathematik> Physical system
Meeting/Interview Lecture/Conference Average Latent class model Numerical analysis
Supremum Group action Moment (mathematics) Physical law Maxima and minima Price index Latent class model Ordinary differential equation 19 (number) Arithmetic mean Meeting/Interview Lecture/Conference Moving average Energy level Identical particles Newton's law of universal gravitation
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