The proposed theme for the seminar is "Zeta Functions and Cohomology". This is meant to be interpreted somewhat loosely, and could include any of the following. Basics of etale (l-adic) cohomology (from the SGAs, esp. 4 1/2) Basics of p-adic (crystalline, rigid) cohomology (work of Berthelot) Not-so-basic stuff on either of the above (current work, incl. mine) Dwork's proof of rationality of zeta functions Fujiwara's theorem on local contributions to the trace formula Computational aspects of l-adic and p-adic cohomology (esp. Lauder) The de Rham-Witt complex (Lars Hesselholt is the local expert) p-adic Hodge theory (a la Fontaine, Colmez, Berger) Deninger's hypothetical "arithmetic cohomology" Motivic zeta functions (Kapranov, Larsen-Lunts) We may also run into relevant "purely geometric" topics along the way, e.g., log geometry (Martin Olsson's specialty). More suggestions are welcome!