This quantity provides the result of the AMS-IMS-SIAM Joint summer time learn convention held on the college of Washington (Seattle). The talks have been dedicated to a variety of points of the speculation of algebraic curves over finite fields and its quite a few purposes. the 3 simple issues are the subsequent: Curves with many rational issues. a number of articles describe major methods to the development of such curves: the Drinfeld modules and fiber product tools, the moduli house process, and the structures utilizing classical curves; Monodromy teams of attribute $p$ covers. a couple of authors provided the implications and conjectures on the topic of the examine of the monodromy teams of curves over finite fields. specifically, they examine the monodromy teams from genus $0$ covers, discounts of covers, and particular computation of monodromy teams over finite fields; and, Zeta capabilities and hint formulas.To a wide quantity, papers dedicated to this subject mirror the contributions of Professor Bernard Dwork and his scholars. This convention was once the final attended by means of Professor Dwork prior to his loss of life, and a number of other papers encouraged by way of his presence comprise commentaries in regards to the functions of hint formulation and $L$-function. the quantity additionally incorporates a certain creation paper via Professor Michael Fried, which is helping the reader to navigate within the fabric awarded within the e-book.
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