http://people.maths.ox.ac.uk/vonk/documents/p_tadic.pdf

where the author observes that his computations suggest that a similar continuity holds for boundary forms. ]]>

Here’s a screenshot of the 2FA page: https://i.imgur.com/o6bjbMK.png

It looks like Duo has you query some random subdomain endpoint, but you can just whitelist cookies from *.duosecurity.com. I’ve never fiddled with FF’s content whitelists, but it should recognize that pattern. I just like uMatrix because it’s so easy to access and shows me all of the 3rd party requests so it’s easier to configure on the fly.

with giving rise to a Levi subgroup and then the “expected” dimension of the deformation ring with fixed determinant should be

which (for 3 = 2 + 1 = 1 + 1 + 1) gives 0, 2, and 3 respectively. And this number certainly positive unless one is in trivial weight. What I’m not sure of, however, if you are arguing that this is a *heuristic* for the existence of lifts or a *strategy* for proving so. The heuristic doesn’t entirely convince me — in part because the heuristic still *somewhat* suggests there should still be lifts of weight zero (because 0 > -1). If you are saying this is a strategy, then the fact that these Sen maps are only locally analytic certainly makes me nervous, combined with the fact that p-adic balls are not projective spaces so if you want to impose A conditions in B dimensions then you still have work to do when B > A to show there are solutions… of course you know this better than me, so you might have a better feeling for how worried one should be.

]]>