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Семинар отдела алгебры и отдела алгебраической геометрии (семинар И. Р. Шафаревича)
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Доклады в рамках конференции "Арифметика, геометрия, автоморфные формы и физика"
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Periods and quasiperiods of modular forms and the mirror quintic at the conifold Emanuel Scheidegger Albert Ludwigs University of Freiburg |
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Аннотация: We review the theory of periods of modular forms and extend it to quasiperiods. General motivic conjectures predict a relation between periods and quasiperiods of certain weight 4 Hecke eigenforms associated to hypergeometric one-parameter families of Calabi-Yau threefolds. We verify this prediction and discuss some of its implications on D-brane masses at the conifold on the corresponding mirrors. Язык доклада: английский |