Fields- Workshop on Efficient Congruencing and Translation-invariant Systems

  1. Title:
    Efficient congruencing: the end of the beginning

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  2. Title:
    Introduction to decoupling

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  3. Title:
    Short character sums modulo prime powers and applications: L-functions, primes, Kloosterman sums and the divisor function

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  4. Title:
    Efficient uncongruencing

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  5. Title:
    Artin's conjecture in diophantine analysis

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  6. Title:
    Decouplings and applications

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  7. Title:
    Decoupling inequalities related to Parsell-Vinogradov systems in dimension two

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  8. Title:
    Vinogradov's mean value theorem in higher dimensions

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  9. Title:
    Small zeros of congruences

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  10. Title:
    The circle method in function fields

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  11. Title:
    Multidimensional Waring's problem in function fields

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  12. Title:
    Effective Vinogradov's Mean Value Theorem

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  13. Title:
    Vinogradov's Mean Value and the Riemann Zeta-function

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  14. Title:
    Vinogradov's mean value theorem in sieves with polynomial moduli and sieve applications

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  15. Title:
    Combinatorial theorems in sparse arithmetic sets

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  16. Title:
    Fractional parts of polynomials

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  17. Title:
    Sums of powers of almost equal primes

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  18. Title:
    The Hasse Principle for systems of quadratic and cubic diagonal equations

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  19. Title:
    Density of Binary Forms

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  20. Title:
    Applications of Vinogradov's mean value theorems in arithmetic harmonic analysis

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