Talks

Dark matter and neutrinos are elusive neutral matter filling up our Universe. The PandaX (Particle and Astrophysical Xenon) experiment, located in the China Jinping Underground Laboratory, is dedicated to searching for dark matter particles and studying the fundamental properties of neutrinos. The current running experiment, PandaX-4T, contains a sensitive time-projection-chamber with a 3.7-ton liquid xenon target. In this talk, after an overview, I will present recent results from PandaX-4T in dark matter direct detection, double beta decay of 136Xe, as well as solar neutrinos. I will also present a concrete plan for the next-generation xenon observatory in CJPL, PandaX-xT.

In this lecture I will explain the first work of La'szlo' and myself, which introduced for the first time ideas from differential inclusions in the study of the incompressible Euler equations. These ideas allowed to produce far-reaching generalizations of pioneering results by Scheffer and Shnirelman, showing the abundance of counterintuitive bounded solutions.

"The construction of inflationary models in the context of no-scale supergravity is discussed. The connection between no-scale models and R+R^2 gravity models is emphasized allowing for the construction of Starobinsky-like models of inflation.  Within the context of these models, the process of reheating after inflation is discussed as are mechanisms for the gravitational production of matter."

We establish existence of infinitely many stationary solutions as well as  ergodic stationary solutions to the three dimensional Navier--Stokes and Euler equations in the deterministic as well as stochastic setting, driven by an additive noise. The solutions belong to the regularity class $C(\mathbb{R};H^{\vartheta})\cap C^{\vartheta}(\mathbb{R};L^{2})$ for some $\vartheta>0$ and satisfy the equations in an analytically weak sense. Moreover, we are able to make conclusions regarding the vanishing viscosity limit. The result is based on a new stochastic version of the convex integration method which provides uniform moment bounds locally in the aforementioned function spaces.