bio  website  tlovering.wordpress.com 

location  Harvard  
age  25  
visits  member for  4 years, 11 months 
seen  Mar 4 at 19:09  
stats  profile views  1,583 
Since 2012 I have been working as a graduate student at Harvard University, studying topics relating to the geometry and padic Hodge theory of Shimura varieties and related structures with a view to applications in the theory of Galois representations.
2d

awarded  Yearling 
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 ladic representation at p=l. One can look at the section on FontaineLaffaille modules in DarmonDiamondTaylor for the start of this story I guess. 
Dec 24 
answered  Do all 0dimensional 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 pdivisible groups fhoermann.org/Tate%20%20pDivisible%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 selfduality, unless I've made a foolish error, which is likely). 
Jun 27 
comment 
What are limits of discrete series and which are cohomological?
Thank you, those references are extremely helpful. 