bio | website | |
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location | Austin, Texas | |
age | 27 | |
visits | member for | 4 years, 1 month |
seen | 7 mins ago | |
stats | profile views | 1,825 |
I'm a graduate student at UT Austin. My e-mail address is kkidwell@math.utexas.edu.
Apr 16 |
comment |
Reference for $p$-adic Hodge theory with coefficients
Do you just mean representations over $L$ instead of $\mathbf{Q}_p$? Also, what is $\mathrm{GL}_V(L)$? Do you mean $V$ is a finite-dimensional $L$-vector space, and the group is $\mathrm{GL}(V)$? In any case, the various properties, de Rham, semistable, etc., can be defined in terms of the underlying $\mathbf{Q}_p$-vector space of dimension $\dim_L(V)[L:\mathbf{Q}_p]$. Also, for a more intrinsic (but equivalent) characterization, see Proposition C.2.2 on page 55 of Rebecca Bellovin's paper here: arxiv.org/abs/1306.5685 |
Mar 30 |
comment |
equivalence of Grothendieck-style versus Cech-style sheaf cohomology
Dear @Georges, I've seen a couple slightly (a priori) different definitions of locally contractible: the more natural one, in my opinion, that there is a base of open contractible sets, and then the (apparently weaker) one, that for each open $V\subseteq X$ and $x\in V$, there is an open $x\in U\subseteq V$ and a continuous map $F:U\times[0,1]\to V$ such that $F(u,0)=u$ and $F(u,1)=x$ for all $u\in U$ (so $U$ is "contractible to $x$ in $V$"). Which definition is being used in the comparison result you cite in (1)? |
Mar 17 |
comment |
Singular cohomology as a Zariski sheaf
Minor correction: there is generally no $0$ at the end of the first short exact sequence. |
Mar 10 |
awarded | Popular Question |
Mar 2 |
awarded | Yearling |
Feb 28 |
answered | Commutator of algebraic subgroups is connected |
Feb 14 |
comment |
Examples of non-split algebraic groups
Once source of many examples is Weil restriction of scalars. For example, take a non-trivial finite Galois extension $E/F$ and a split torus $T$ over $E$. Then $\mathrm{Res}_{E/F}(T)$ is a non-split torus over $F$ that is split by $E$ (it's non-split because its character lattice has a non-trivial Galois action). |
Jan 28 |
answered | Is any continuous group homomorphism from R to C* an exponential map? |
Jan 7 |
awarded | Popular Question |
Dec 17 |
revised |
Iwasawa's invariants
added 1569 characters in body |
Dec 17 |
answered | Iwasawa's invariants |
Dec 10 |
answered | Pontryagin dual |
Dec 2 |
comment |
Place stabilizers for the absolute Galois Group
Dear @Adam, I edited in an answer to your questions. |
Dec 2 |
revised |
Place stabilizers for the absolute Galois Group
Answered question in comments |
Oct 23 |
awarded | Tumbleweed |
Oct 16 |
revised |
Correct definition of locally algebraic parabolic induction of a locally algebraic character
added 13 characters in body |
Oct 16 |
revised |
Correct definition of locally algebraic parabolic induction of a locally algebraic character
added 13 characters in body |
Oct 16 |
asked | Correct definition of locally algebraic parabolic induction of a locally algebraic character |
Oct 2 |
awarded | Caucus |
Jul 26 |
revised |
Natural construction of Hodge (Phi,Gamma)-modules
I cleaned up the LaTeX. |