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Speaker:
Jean-Benoit Bost
Zugehörigkeit:
Université Paris-Saclay
Datum:
Mon, 22/07/2024 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Conference on "Arithmetic Geometry", July 22 - 26, 2024 Formal-analytic arithmetic surfaces are arithmetic analogues of germs of formal surfaces along a proper curve over some base field, in the same way as arithmetic surfaces are analogues of projective algebraic surfaces over some base field. It is possible to develop a calculus on formal-analytic arithmetic surfaces, involving Hermitian vector bundles and suitably defined arithmetic intersection numbers à la Arakelov. This calculus admits applications to finiteness results concerning the étale fundamental group of arithmetic surfaces, notably of integral models of modular curves. This is joint work with F. Charles.
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