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Frobenius lifts |
There is an
emerging field of arithmetic algebraic geometry whose objects of study are
varieties, often not finite-dimensional, equipped with commuting families of
lifts of Frobenius maps. Important roles are played
by schemes of Witt vectors, arithmetic jet spaces, and the spectra of
lambda-rings. In a certain precise sense, these varieties make up an absolute
algebraic geometry, lying over a deeper base than the ring of integers. The workshop
will be centered around the following partly
introductory lecture series, each of 3-5 hours. Pierre Cartier: Lambda-rings and Witt
vectors Lars Hesselholt:
The de Rham-Witt complex Alexandru Buium: Arithmetic differential equations James Borger: Lambda-algebraic
geometry The workshop
has two main purposes. The first is to introduce beginning and established
researchers to this new field. The second is to provide an opportunity for
experts to discuss applications to other parts of arithmetic algebraic
geometry, such as function fields, the field with one element, explicit class
field theory, and realizations of motives. We encourage workers in all fields
of number theory and arithmetic algebraic geometry to attend. [Back] |