Talks

It is a well-known fact that in the class of regular non-zero constant mean curvature (CMC) surfaces in the Euclidean space, spheres and the right circular cylinders are the only examples of CMC surfaces which are algebraic. In this talk, first we will show for every spacelike CMC surface of revolution (except spacelike cylinders and standard hyperboloids), which is either an unduloid or a nodoid, in the Lorentz-Minkowski space E 3 1 , there is an associated Weierstrass-℘ function. Next, using this association, we will show unduloid and nodoid cannot be algebraic and hence concluding only spacelike cylinders and standard hyperboloids are algebraic.

Third Talk (90 minutes) I would like to give a brief introduction of zero mean curvature surfaces as the analytic extension of maximal surfaces to timelike minimal surfacces. Then I would like to give numerous examples of zero mean curvature surfaces and discuss some properties of them such as embeddedness and symmetries.

In this talk, I will provide an overview of neutron star (NS) mergers, highlighting the insights gained through numerical relativity simulations. I will mainly focus on the role of the cocoon shock breakout emission as a key early electromagnetic counterpart of NS mergers, with special relevance to events like GW170817. I will explore how the properties of the merger ejecta and the nature of the central engine influence the resulting emission. Additionally, I will present recent advancements in the development of our new general relativistic magnetohydrodynamics (GR-MHD) code GR-Athena++, and share ongoing research efforts on the evolution of magnetic fields in the post-merger remnant.

The Green-Schwarz anomaly cancellation condition says that the target space of heterotic string theory must come with a string structure for the theory to be consistent. In this talk we discuss a new tangential structure called string^h, first introduced by Devalapurkar, as a spin^c analogue of string. We will show that the spectrum of string^h has the notable property that it orients tmf_1(n), just like how the spectrum of string orients tmf, by the work of Ando-Hopkins-Rezk. Finally we will show that the anomaly of the partition function of type IIA, studied by Diaconescu-Moore-Witten induces a string^h structure on the target space of type IIA, in parallel to the Green-Schwarz anomaly for heterotic string theory, and discuss applications for anomaly cancellation. This is joint work in progress with Arun Debray.

In this talk, I shall recall the nonlocality transitivity problem, which concerns the possibility of inferring the Bell-nonlocality of certain marginals in a multipartite scenario based on other given marginals. Then, I explain how considering this problem has led to a more general class of problems known as resource marginal problems (RMPs). More precisely, RMPs concern the possibility of having a resource-free target subsystem compatible with a given collection of marginal density matrices. We briefly discuss how a resource theory for a collection of marginal density matrices naturally arises from any given RMP and present some general features of such a theory. After that, we focus on a special case of RMPs known as the entanglement transitivity problems and explain how our progress on this problem has led to progress in the original nonlocality transitivity problem.