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Семинар отдела алгебры и отдела алгебраической геометрии (семинар И. Р. Шафаревича)
16 декабря 2014 г. 15:00, г. Москва, МИАН, комн. 540 (ул. Губкина, 8)
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Periods of connections and a conjecture of Gross–Deligne
Javier Fresan |
Количество просмотров: |
Эта страница: | 192 |
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Аннотация:
Motivated by a new approach to the
Chowla-Selberg formula, Gross and Deligne conjectured at the end of
the 70s that periods of geometric Hodge structures with
multiplication by an abelian number field are products of special
values of the gamma function, with exponents determined by the Hodge
decomposition. I will explain a proof of an alternating variant of
this conjecture for the cohomology groups of smooth, projective
varieties with an automorphism of finite order. The main ingredient
is a global-to-local formula for periods of flat vector bundles due
to Saito and Terasoma.
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