"Beyond endoscopy", broadly interpreted, is the idea that
functoriality should be realized as a comparison between stable
trace formulas. The nature of this comparison, however, remains
completely unclear.
Invariant theory studies the actions of groups on vector spaces and
what polynomial functions remain invariant under these actions. An
important object related to a group action is the null cone, which
is the set of common zeroes of all homogeneous...
Consider a Lagrangian torus fibration a la SYZ over a non compact
base. Using techniques from arXiv:1510.04265, I will discuss the
construction of wrapped Floer theory in this setting. Note that
this setting is generally not exact even near infinity...
Arithmetic complexity is considered (for many good reasons)
simpler to understand than Boolean complexity. And indeed, we seem
to have significantly more lower bound techniques and results in
arithmetic complexity than in Boolean complexity. Despite...
Locally symmetric spaces are a class of Riemannian manifolds which
play a special role in number theory. In this talk, I will
introduce these spaces through example, and show some of their
unusual properties from the point of view of both analysis...