bio | website | tlovering.wordpress.com |
---|---|---|
location | Harvard | |
age | 25 | |
visits | member for | 4 years, 9 months |
seen | Mar 4 at 19:09 | |
stats | profile views | 1,544 |
Since 2012 I have been working as a graduate student at Harvard University, studying topics relating to the geometry and p-adic Hodge theory of Shimura varieties and related structures with a view to applications in the theory of Galois representations.
Dec 24 |
comment |
Applications of $p$-adic Hodge theory
It plays a key role in proving modularity lifting theorems by making possible the study of local deformation rings for an l-adic representation at p=l. One can look at the section on Fontaine-Laffaille modules in Darmon-Diamond-Taylor for the start of this story I guess. |
Dec 24 |
answered | Do all 0-dimensional Shimura Varieties show up (as CM points) in $\mathcal{A}_g$? |
Aug 4 |
revised |
Shimura varieties of type C
added 42 characters in body |
Aug 4 |
answered | Shimura varieties of type C |
Jul 22 |
comment |
Serious introduction to the Langlands program for nonspecialist
Ed Frenkel's introduction to the Geometric Langlands programme includes a cursory overview of the "classical" Langlands programme which you might find useful. In terms of understanding anything properly, I think there is just too much out there to learn and you'll have to narrow down the question a bit first. |
Jul 14 |
comment |
About the restriction of a modular representation to a decomposition subgroup II
No. I originally posted saying that I wasn't sure what is known about semisimplicity in general (I had a vague idea it was known in some cases and conjectured in the rest but not sure which). Thanks to "community" for clearing it up. |
Jul 9 |
comment |
Bloch Kato Exponential as formal lie group exponential
I'd assume it's the inverse (which he mentions should exist on a small enough neighbourhood) to the logarithm in the sense of section 2 of Tate's article on p-divisible groups fhoermann.org/Tate%20-%20p-Divisible%20Groups.pdf |
Jul 8 |
accepted | Regular singularities and the infinitesimal site |
Jul 7 |
revised |
About the restriction of a modular representation to a decomposition subgroup II
added 75 characters in body |
Jul 7 |
answered | About the restriction of a modular representation to a decomposition subgroup II |
Jul 7 |
asked | Regular singularities and the infinitesimal site |
Jul 2 |
awarded | Curious |
May 23 |
comment |
Is there a better proof of this fact in number theory/formal group theory?
<troll> In the divisibility poset $0$ is maximal, so surely it's appropriate to say it's the greatest common divisor of an empty set? </troll> |
Apr 25 |
comment |
Automorphisms of profinite groups
Is this the $p$-part of the profinite completion of a free (nonabelian) group on $d$ generators? |
Apr 24 |
awarded | Commentator |
Jan 22 |
accepted | Torsors and the fpqc topology |
Jan 21 |
asked | Torsors and the fpqc topology |
Jul 19 |
comment |
“Why” is every polynomial representation of SL(2) selfdual?
Why is this? Do you need $p$ odd? (In the case $p=2$ it looks to me like perhaps conjugating by the matrix with 1s along the antidiagonal should exhibit self-duality, unless I've made a foolish error, which is likely). |
Jun 27 |
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What are limits of discrete series and which are cohomological?
Thank you, those references are extremely helpful. |
Jun 27 |
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Maximum dimension of an isotropic subspace in a quadratic space
Of course I meant $U$. So I was suggesting if you take the projection map $V \rightarrow U$, its kernel is negative definite, so in particular intersects any isotropic subspace trivially, so under this map, isotropic subspaces are embedded as subspaces of U. |