Summer school "p-adic cohomologies and arithmetic applications" is organized by the

Bernard Le Stum: "Introduction to rigid cohomology"

Lecture 1. Sheaves and cohomology.

Lecture 2. Ultrametric geometry.

Lecture 3. Rigid cohomology. | Lecture notes |

Lecture 4. Crystalline interpretation.

Lecture 5. Independance theorems.

Lecture 6. Properties and applications.

Nobuo Tsuzuki: "Overconvergent F-isocrystals and rigid cohomology on curves"

Lecture 1. Rigid cohomology and overconvergent F-isocrystals.

Lecture 2. Crew's conjecture.

Lecture 3. Unit-root cases.

Lecture 4. Kedlaya's filtration.

Lecture 5. Application of Crew's conjecture.

Steven Sperber: "Dwork cohomology and applications"

Lecture 1. Dwork's trace formula, the Dwork complex, dual complex and
applications (degree, p-divisiblity).

Lecture 2. Cohomology, L-functions of non-degenerate toric exponential sums.

Lecture 3. Zeta functions of complete intersections (toric, projective
cases).

Lecture 4. Families of varieties and exponential sums, p-adic differential
equation, unit-root formulas, L-functions of symmetric powers.

Douglas Haessig: "An introduction to Dwork's p-adic analytic
representation of an additive character"

I. M. U. S. | E. T. S. I. Informática, Universidad de Sevilla. | Avda. Reina Mercedes s/n, despacho H1-82. Apdo. de Correos 1160. 41012 Sevilla - Spain.

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