Recent results on p-adic computation of zeta functions

Kiran Kedlaya
Massachusetts Institute of Technology

I'll survey some recent developments in the area of using p-adic cohomological methods to compute zeta functions of curves over finite fields. These may include work by Gerkmann and Hubrechts, based on an idea of Lauder, to reduce the space requirement by using a deformation technique, and a generalization to nondegenerate curves on toric surfaces described by Castryck, Denef, and Vercauteren.

Audio (MP3 File, Podcast Ready) Presentation (PDF File)

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