Seminars

Equidistribution of exponential sums on commutative algebraic groups (after Katz)

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Seminars

2017-11-01
15:15:00 - 16:15:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)



Many exponential sums, such as Gauss sums or Kloosterman sums, appear as the Fourier transform of the trace function of an l-adic sheaf on a commutative algebraic group over a finite field. I will discuss equidistribution results for these sums when the l-adic sheaf is fixed but the character with respect to which the Fourier transform is taken varies. Most of the talk will be devoted to present a series of recent works by Katz where Tannakian ideas play a pivotal role. If time permits, I will also explain some new results.