614 reputation
511
bio website www2.imperial.ac.uk/~cdl10
location London
age 26
visits member for 3 years, 7 months
seen 4 hours ago

Oct
17
awarded  Yearling
Oct
17
comment The topology on the Robba ring
Yes, I wondered about that but I don't think so. There will be elements of $\mathcal{R}_K$ for which that norm is not defined for any $r$, since we require convergence on some semi-open annulus $p^{-r}\leq t <1$ rather than the closed annulus $p^{-r}\leq t\leq 1$.
Oct
17
asked The topology on the Robba ring
Jul
2
awarded  Curious
Jul
1
asked Complexes of arithmetic $\mathcal{D}$-modules with Frobenius structure
Nov
8
awarded  Nice Question
Nov
8
accepted Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
Nov
8
answered Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
Nov
7
revised Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
added 263 characters in body
Nov
7
comment Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
No, I don't think so. By cohomology, I really mean $Hom_{D}(1,V[i])$, where $D$ is either of the triangulated categories, so $t$-structures don't come into it at all. I'll edit the question to make this clearer.
Nov
6
revised Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
added 16 characters in body
Nov
6
comment Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
Sorry, which particular section of the thesis did you have in mind? It seems to be talking about pro-finite homotopy types to me...
Nov
5
asked Pro-algebraic versus continuous Galois cohomology, and schematic homotopy types
Oct
11
comment “Extended” Weil Cohomology Theories
Ah, I didn't know about Bloch-Ogus, that might be pretty much what I'm looking for.
Oct
10
comment “Extended” Weil Cohomology Theories
No, their notion of a mixed Weil cohomology theory doesn't say anything about compact supports or Poincaré duality. It follows from their results that given a Weil cohomology theory, all the extra stuff pops out (by realising the motivic version), but it doesn't form part of their definition of a mixed Weil cohomology theory.
Oct
10
asked “Extended” Weil Cohomology Theories
Oct
1
comment on a characterisation of regular D-modules
Are you sure? If we let $w=z^{-1}$, then the connection becomes $\nabla(f)=df+f\frac{dw}{w^2}$, so it doesn't have logarithmic poles around $w=0$.
Sep
30
comment on a characterisation of regular D-modules
An easy way to see that there is no $\mathrm{Ext}^1$ on the de Rham side is to note that $M$ is rank one, i.e. invertible. We have the dual connection $M^{\vee}=(\mathcal{O}_X,\nabla^\vee)$ where $\nabla^\vee(f)=df+fdz$, and $M\otimes M^\vee$ is just the constant integrable connection $\mathcal{O}_X$. Hence we can pass between $\mathrm{Ext}_\nabla^1(M,M)$ and $\mathrm{Ext}_\nabla^1(\mathcal{O}_X,\mathcal{O}_X)$.
Sep
30
answered on a characterisation of regular D-modules
Sep
16
awarded  Enthusiast