Monday, February 28, 2022
Time | Items |
---|---|
All day |
|
4:00pm |
02/28/2022 - 4:00pm A recurring question in the theory of random walks on groups of isometries of hyperbolic spaces asks whether the hitting (harmonic) measures can coincide with measures of geometric origin, such as the Lebesgue measure. This is also related to the inequality between entropy and drift. We will prove that the inequality between entropy and drift is strict for certain random walks on cocompact Fuchsian groups. As we will see, this is also related to a geometric inequality for geodesic lengths, strongly reminiscent of the Anderson-Canary-Culler-Shalen inequality for free Kleinian groups. Joint w. Petr Kosenko. Location:
Zoom
02/28/2022 - 4:30pm It has long been expected, due to work and conjectures of Beilinson--Drinfeld and Frenkel--Gaitsgory, that one has a localization theorem for representations of affine Lie algebras at critical level with unramified central characters as certain D-modules on the affine Grassmannian. We have proven this in a joint work with Sam Raskin. After reviewing the motivation and context for this conjecture, we will describe some new methods used in the proof. Location:
Zoom
|