In joint work in progress with Anschütz and Le Bras we aim to
construct a 6-functor formalism for quasicoherent sheaves on the
relative Fargues-Fontaine curve over rigid-analytic varieties (and
even general v-stacks), providing new insights into the...
The recent work of Drinfeld and Bhatt-Lurie led to a new
geometric approach to p-adic cohomology theories, analogously to
what was done earlier in Hodge theory by Simpson. This stacky
perspective gives in particular a new approach to p-adic non...
With every bounded prism Bhatt and Scholze associated a
cohomology theory of formal p-adic schemes. The prismatic
cohomology comes equipped with the Nygaard filtration and the
Frobenius endomorphism. The Bhatt-Scholze construction has
The minimal model program for 3-folds has been developed only in
characteristics p greater than or equal to 5. A key difficulty at
small primes is that the singularities occurring in the minimal
model program need not be Cohen-Macaulay, as they are...
A theorem of Borel says that any holomorphic map from a complex
algebraic variety to a smooth arithmetic variety is automatically
an algebraic map. The key ingredient is to show that any
holomorphic map from the (poly) punctured disc to the Baily...
Let E be a finite degree extension of Qp. Given a mod p
representation of the absolute Galois group of E we construct a
sheaf on a punctured absolute Banach-Colmez space that should give
the first step in the construction of the mod p local