Colloquium 2024-25 Faculty Threads (Lia Bronsard, Matheus Grasselli, Hari Kunduri) – September 13
Sep 13, 2024
3:00PM to 4:20PM
Date/Time
Date(s) - 13/09/2024
3:00 pm - 4:20 pm
Location: HH-305
Friday September 13, 2024 – 3:30 pm – HH 305
Faculty Threads
Speakers: Lia Bronsard; Matheus Grasselli and Hari Kundari
- Title: On a new partitioning problem
Speaker: Lia Bronsard
Abstract: I will first review the classical partitioning problem, discuss the double/triple/K-bubble conjectures, and introduce a new partitioning problem that arises in the study of triblock copolymers in certain limiting regimes. I will present the appropriate setting for this new geometrical problem, some solutions as well as answers to some conjectures. This is joint work with Stan Alama and Silas Vriend, as well as with Mike Novack. - Title: A model for green quantitative easing
Speaker: Matheus Grasselli
Abstract: It is well documented that climate change adaptation and mitigation require financial flows that are several times larger than currently observed. Relatedly, the necessary transition to net zero emissions presents an inherent instability associated with balancing the effects of economic damages caused by climate change and the financial burden incurred to prevent them. In this short talk, I present a climate-economy model to analyze a monetary policy that could be implemented by central banks to improve the stability of the system: green quantitative easing, that is to say, large scale purchases of financial instruments used to fund green investment. I illustrate the stabilization effects of these polices with examples calibrated to data and similar proposals in the literature. - Title: Geometric inequalities in general relativity
Speaker: Hari Kunduri
Abstract: Riemannian manifolds which approach flat Euclidean space in an appropriate sense are called`asymptotically flat’ (AF). AF manifolds are characterized by geometric invariants which have the interpretation in general relativity as energy and angular momentum of an isolated system, such as a black hole. I will discuss ideas behind the proof of geometric inequalities satisfied by these invariants, and in particular, a recent proof of the spacetime Penrose inequality for cohomogeneity-one geometries.
Coffee will be served in the same room – HH 305 at 3pm – all are welcome.