bio  website  math.uchicago.edu/~emerton 

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age  43  
visits  member for  5 years, 4 months 
seen  Jun 25 '14 at 18:53  
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awarded  Nice Answer 
Mar 10 
awarded  Enlightened 
Mar 10 
awarded  Nice Answer 
Feb 18 
awarded  Necromancer 
Dec 29 
awarded  Yearling 
Nov 21 
awarded  Nice Answer 
Nov 12 
awarded  Good Answer 
Oct 26 
awarded  Enlightened 
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Oct 15 
awarded  Notable Question 
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awarded  Populist 
Aug 4 
awarded  Nice Answer 
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May 23 
comment 
When are dual modules free?
@GrahamLeuschke: Dear Graham, I think that the first half is okay provided that $M$ is assumed a priori to have finite projective dimension. (One can proceed by induction on the projective dimension.) Regards, 
Apr 30 
comment 
Current Status on Langlands Program
@plusepsilon.de: Dear plusepsilon.de, Yes, that's right. But to actually construct/study Galois reps. attached to $GL(n)$ automorphic form, you have to work with unitary groups, for which stable conjugacy and conjugacy are distinct. For example, the proof of SatoTate is prima facie about proving cases of symmetric power functoriality from $GL(2)$ to $GL(n)$, and so one could imagine that it doesn't involve stabilization or the fundamental lemma. But in fact, the proof for elliptic curves with integral $j$invariant depended on the fundamental lemma for unitary groups. Regards, 
Apr 30 
comment 
Explicit calculation of Weil Deligne representations
Dear Hiro, The case of a Tate curve is particularly easy. The $\ell$adic Tate module is the Kummer extension of $\mathbb Q_{\ell}$ by $\mathbb Q_{\ell}(1)$ corresponding to the Tate parameter $q$ defining the curve. (This follows directly from the description of the points as $\overline{\mathbb Q}_p^{\times}/q^{\mathbb Z}$.) Now just apply the standard recipe to get the WeilDeligne representation. Regards, 
Apr 30 
comment 
Current Status on Langlands Program
Dear Joel, This is an impressive summary of the current status! Cheers, 
Apr 30 
comment 
Current Status on Langlands Program
@plusepsilon.de: Dear plusepsilon.de, Since many results for $GL(n)$ are proved via transfer to unitary groups, stabilization is in fact an issue, even in the theory for $GL(n)$. Regards, 
Apr 14 
awarded  Enlightened 
Apr 14 
awarded  Nice Answer 