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Zhiyu
  • Member for 8 years
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Finiteness of $H_1 \backslash G / H_2$ and the geometry of the orbits
@paulgarrett I believe $T_2 \backslash GL_2 /T_2$ is not finite, as $a_{11}a_{22}/a_{12}a_{21}$ is invariant.
revised
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Is the induced map between etale cohomology groups independent of the compactification?
Thank you ! How about the integral coefficient cohomology group, which may contain some torsion elements?
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What is prismatic cohomology?
Thank you for sharing this fancy picture :)
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Foundational Questions on Adic Spaces
Maybe the Nonarchimedean Scottish Book is helpful, see scripts.mit.edu/~kedlaya/wiki/….
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Algorithmically computing Weil cohomology groups
For betti numbers modulo $\ell$ (which is equal to the original Betti number for large $\ell$), see arxiv.org/abs/1304.5376.
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Current status of independence of Betti numbers for different Weil cohomology theories
Thank you! If you want to spread out, then smooth base change may also be necessay. I am interested in abstract Weil cohomology as I hope there are more of them.
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