David Hansen
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Registered User
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I like algebra and number theory. I'll be a postdoc at Jussieu starting in September.
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Apr 14 |
awarded | ● Necromancer |
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Jan 13 |
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Are potential complex zeros not on the critical line of Dedekind zeta function in quadruples? Siegel zeros are real by definition... |
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Jan 10 |
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Base Change for Eigenvarieties Dear Kevin, if $G=\mathrm{GL}_n$, $F$ is totally real, and $E/F$ is cyclic, then the answer to your question is "yes", at least under the mild assumption that the tame levels are chosen "coprime to the relative different of $E/F$." One does not get a closed immersion of the whole $F$-eigenvariety, but only of its "spine" (which is roughly the union of the irreducible components which contain a dense set of classical points). I can email you if you'd be interested in hearing more details. Cheers, Dave |
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Jan 9 |
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Vanishing of Tor It's true for $n=1$ if the sequence is also $R$-regular, since then $\mathrm{Tor}_{1}^{R}(R/I,M) \simeq \mathrm{Tor}_{1}^{R/I}(R/I,M/I)$. (see Lemma 18.2.iii in Matsumura's CRT.) |
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Dec 3 |
accepted | Sato-Tate measure for GL(3) Automorphic forms |
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Dec 3 |
awarded | ● Nice Question |
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Nov 28 |
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Geometric intuition behind perverse coherent sheaves? Dear Matthew: Oops, I didn't realize these were distinct concepts! Thanks for the correction. Best, Dave --- Pooya: Sorry for the tone of my comment. :) |
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Nov 26 |
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Geometric intuition behind perverse coherent sheaves? Your definition is far too specific. I don't think there's a really good geometric intuition. They're the natural objects to look at on singular spaces which imitate good "cohomological properties" of smooth spaces (e.g. duality theorems, purity of etale cohomology, etc.). |
