TY - ELEC
AU - MariĆ±o, Marcos
PY - 2018
TI - On quantum curves
LA - eng
M3 - Moving Image
AB - In this talk I will discuss some general aspects on quantum curves.
I will emphasize the need to go beyond WKB-like perturbative schemes,
and the usefulness of working with actual Hilbert spaces. I will then present three
mathematical mechanisms in our theory of quantum mirror curves
which make it possible to go from the discrete world of quantum mechanics to the continuous
world of enumerative geometry: Fredholm determinants, large $N$ limits, and Wigner distributions.
I will also list some interesting open problems for the future.
N2 - In this talk I will discuss some general aspects on quantum curves.
I will emphasize the need to go beyond WKB-like perturbative schemes,
and the usefulness of working with actual Hilbert spaces. I will then present three
mathematical mechanisms in our theory of quantum mirror curves
which make it possible to go from the discrete world of quantum mechanics to the continuous
world of enumerative geometry: Fredholm determinants, large $N$ limits, and Wigner distributions.
I will also list some interesting open problems for the future.
UR - https://open.library.ubc.ca/collections/48630/items/1.0377036
ER - End of Reference