Fields- 2020-2021 Fields Number Theory Seminar

  1. Title:
    On bounds of Fourier-coefficients of half-integer weight cusp forms

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  2. Title:
    The Okada space and vanishing of L(1,f

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  3. Title:
    Values of the Ramanujan tau-function

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  4. Title:
    Iwasawa Theory of Fine Selmer Groups

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  5. Title:
    Algebraic functional equation for Selmer groups

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  6. Title:
    The arithmetic of Hecke characters and their L-functions.

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  7. Title:
    On the normal number of prime factors of sums of Fourier coefficients of Hecke eigenforms

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  8. Title:
    Arthur packets for unipotent representations of the p-adic exceptional group G2

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  9. Title:
    On linear independence of special values of polylogarithms

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  10. Title:
    Extending the theta correspondence

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  11. Title:
    Ceresa cycles of Fermat curves and Hodge theory of fundamental groups

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  12. Title:
    Stark's conjectures and Hilbert's 12th Problem

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  13. Title:
    Average sizes of the 2-torsion subgroups of the class groups in families of cubic fields

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  14. Title:
    Sums of triangular numbers and sums of squares

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  15. Title:
    Khovanskii's theorem and effective results on sumset structure

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  16. Title:
    Central L-values of U(3) x U(2), non-vanishing and subconvexity

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  17. Title:
    Arithmetic occult periods

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  18. Title:
    Extension classes of a mixed motive and subgroups of the unipotent radical of the motivic Galois group

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  19. Title:
    A survey on quantum algorithms for computing class groups

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  20. Title:
    Grothendieck period conjecture and 1-motives

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