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Results tagged with langlands-conjectures
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user 6074
Higher reciprocity laws
34
votes
Accepted
What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$...
Now that our paper Geometrization of the local Langlands correspondence with Fargues is finally out (ooufff!!), it may be worth giving an update to Ben-Zvi's answer above. In brief: we give a formulat …
- 21.3k
33
votes
Why to believe the Fargues geometrization conjecture?
We finally have finished our paper, detailing the conjecture! We have also included an extensive introduction that I hope gives some impression of why one might hope for such a statement, and I'll sim …
- 21.3k
10
votes
Accepted
How does the cohomology of the Lubin-Tate/Drinfeld tower fit into categorical p-adic local L...
Briefly (I will elaborate below): One expects that their fully faithful functor from (roughly) $p$-adic representations of $G(\mathbb Q_p)$ to (roughly) coherent sheaves on the Emerton--Gee stack exte …
- 21.3k