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Frobenius constants for families of elliptic curves

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KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes

Periods are complex numbers given as values of integrals of algebraic functions defined over domains, bounded by algebraic equations and inequalities with coefficients in Q. In this talk, we will  deal with a class of periods,  Frobenius constants, arising as matrix entries of the monodromy representations of certain geometric differential operators. More precisely,  we will  consider  seven special Picard – Fuchs type second order linear differential operators corresponding to families of elliptic curves. Using periods of modular forms, we will witness some of these Frobenius constants in terms of zeta values. This is a joint work with Masha Vlasenko.

This talk is part of the Isaac Newton Institute Seminar Series series.

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