…the points (over number fields, say) at least yield compatible systems of l-adic representations, which should be the l-adic realizations of the conjectural motives. For more info, see https://ashvin-swaminathan.github.io/home/NTSeminar.html …
Most Harvard PhD dissertations from 2012 forward are available online in DASH, Harvard’s central open-access repository and are linked below. Many older dissertations can be found on ProQuest Dissertation and…
…that positivity of a suitably defined “virtual Morse-Bott index” at a critical point of the Hamiltonian function implies that the critical point cannot be a local minimum even when it…
…of the Langlands correspondence — the relative Langlands program — studies the representation of L-functions of Galois representations as integrals of automorphic forms. However, the data that naturally index the…
…their quantized symmetries. This is particularly the case for II1 factors, where symmetries are encoded by their subfactors of finite Jones index. I will discuss some results and open problems…