TBA

Weekly colloquium with invited external speakers

Speaker: Gunhee Cho (UConn)

Title: Equivalence of invariant metrics in hyperbolic complex geometry

Abstract: There is a long-standing open conjecture on complex geometry which state that given a complete n-dimensional non-compact simply-connected Kahler manifold M with sectional curvature negatively pinched, such a manifold is biholomorphic to a bounded domain in C^n, and there is a non-constant bounded holomorphic function on M. The recent progress of Wu-Yau theorem shed the light on these conjectures to investigate the equivalence of the Bergman metric, the Kahler-Einstein metric, Kobayashi-metric on the classes of pseudoconvex domains. We will see the very recent progress on relevant those questions and connections to sub-Riemannian geometry and algebraic geometry. This presentation is to introduce the audience to the research work of the presenter during the ph.d. program.

TBA

Speaker: Jian Ding (Wharton School)

TBA

Join us in the Logic Colloquium for a talk by

Nadine Theiler (UConn, linguistics):

"An Epistemic Bridge for Presupposition Projection in Questions"

Please contact Marcus Rossberg for log-in information.

https://logic.uconn.edu/calendar/

Abstract: Aiming for more realistic optimal dividend policies, we consider a stochastic control problem with linearly bounded control rates using a performance function given by the expected present value of dividend payments made up to ruin. In a Brownian model, we prove the optimality of a member of a new family of control strategies called delayed mean-reverting strategies, for which the controlled process is a refracted diffusion process. For some parameters specifications, we retrieve the strategy initially proposed by Avanzi & Wong (2012) to regularize dividend payments, which is more consistent with actual practice.

Speaker's bio: Dr. Renaud is a full professor, and currently Director of Graduate Studies in Mathematics, in the Département de mathématiques at Université du Québec à Montréal (UQAM) and a member of Quantact, the research lab in actuarial and financial mathematics of the Centre de recherches mathématiques (CRM). Please visit his website for more details: http://profmath.uqam.ca/~renaudjf/home.html.

Weekly colloquium with invited external speakers

Weekly colloquium with invited external speakers