bio | website | |
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location | Austin, Texas | |
age | 27 | |
visits | member for | 4 years, 9 months |
seen | 11 hours ago | |
stats | profile views | 2,012 |
I am a postdoc at Indiana University. I got my Ph.D. in May 2014 from UT Austin.
Dec 7 |
comment |
What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?
Dear @David, Thank you for this answer! It's especially nice for those of us who aren't at MSRI this semester to see all of this fantastic stuff in person. |
Sep 24 |
awarded | Autobiographer |
Jul 30 |
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Whittaker models for $GL_n$ and Fourier coefficients
Dear @Rex, The first occurrence of $G$ seems inconsistent with the later occurrences of it (where it seems like it is the reductive group $\mathrm{GL}_2$). |
Jul 29 |
awarded | Nice Question |
Jul 29 |
awarded | Benefactor |
Jul 29 |
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Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
Yes, you should have just gotten it! I didn't realize I had to click the +50 below the check-mark. Congratulations on your first bounty! |
Jul 29 |
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Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
Dear @GH from MO, Thank you so much for working through this with me. It's something that has confused me for a long time, but this is a simple, clear answer. I appreciate it! |
Jul 29 |
accepted | Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article |
Jul 24 |
awarded | Promoter |
Jul 23 |
accepted | $C^\infty$-vectors in general representations of Lie groups on locally convex spaces |
Jul 23 |
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$C^\infty$-vectors in general representations of Lie groups on locally convex spaces
Dear @user56365, Thank you very much! This is great! |
Jul 23 |
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$C^\infty$-vectors in general representations of Lie groups on locally convex spaces
Dear @Qiaochu, Yes, Hahn-Banach holds for locally convex spaces. That's a nice idea for a candidate akin to how one defines vector-valued integrals in some cases. Is it clear that one recovers the usual notion when $V$ is a Banach space? One (possible) defect is that it doesn't (to me anyway) suggest a natural definition of a tangent map at a point. |
Jul 23 |
revised |
$C^\infty$-vectors in general representations of Lie groups on locally convex spaces
added 130 characters in body |
Jul 23 |
asked | $C^\infty$-vectors in general representations of Lie groups on locally convex spaces |
Jul 23 |
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If $G$ is compact, $H \leq G$ open, $V$ an irreducible $H$-rep, is $\text{Ind}_H^G$ semisimple?
Is $V$ is a topological vector space over $K$? Finite-dimensional? Is the $G$-action continuous? |
Jul 22 |
revised |
Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
added 436 characters in body |
Jul 22 |
revised |
Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article
added 624 characters in body |
Jul 22 |
asked | Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article |
Jul 2 |
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Rigidity lemma over non-algebraically closed field
morphism over $K$ to deduce that it descends all the way to $k$. |
Jul 2 |
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Rigidity lemma over non-algebraically closed field
Dear @Joe B, How does (1) show that it is enough to prove the result over $\overline{k}$? The injectivity of the map $\mathrm{Hom}(A,B)\to\mathrm{Hom}(A_{\overline{k}},B_{\overline{k}})$ is the easy part of fpqc descent, but the issue is with whether or not the map you produce over $\overline{k}$ is in the image of this map. Descent theory says that it is if it respects the descent data on the $A_{\overline{k}}$ and $B_{\overline{k}}$. Using limit arguments one can go from $\overline{k}$ to a finite Galois $K$ extension of $k$, but then one must prove $\mathrm{Gal}(K/k)$-invariance of the |