• Some big conjectures in AG/NT:
    • The Ash Conjecture : Galois representations coming from torsion cohomology classes of locally symmetric spaces.
    • Deligne’s weight monodromy conjecture : Something to do with complete intersections.
  • What’s the deal with prismatic cohomology?
    • Something coming from Bhatt: an integral version of p-adic Hodge theory which is supposed to link a bunch of other cohomology theories.