LISMATH
Lisbon Mathematics PhD

The LisMath Seminar

The purpose of the LisMath seminar is to provide an initiation into research as well as to make students train their oral skills.  Each LisMath student will be asked to give a talk, based on research papers, chosen from a list covering a variety of research topics. The seminar should be comprehensible to everyone. The student will be asked to make an effort to explain why he/she finds the topic interesting, and how it fits into the broader research picture. The LisMath seminar will thus help broadening the students training.
 
The LisMath seminar takes place on a weekly basis in the Spring semester. Attendance is mandatory for LisMath students. Venue: Wednesday 17h-18h, alternating between FCUL (seminar room 6.2.33 of the Department of Mathematics) and IST (seminar room P9 of the Department of Mathematics) except for 26/6/2018 and 15/7/2019, LisMath Seminar Day, when all sessions will be held at the former location.

– Europe/Lisbon — Online

Pedro Aniceto, LisMath, Instituto Superior Técnico, Universidade de Lisboa.
Integrability and holography in dimensionally reduced theories of gravity in 2 dimensions.

This talk is divided into two parts. In the first part, we consider the Riemann-Hilbert factorization approach to the construction of Weyl metrics. We prove that the canonical Wiener-Hopf factorization of a matrix obtained from a general monodromy matrix, with respect to an appropriately chosen contour, yields a solution to the gravitational field equations. We show moreover that, by taking advantage of a certain degree of freedom in the choice of the contour, the same monodromy matrix generally yields distinct solutions to the field equations.

In the second part, we approach the problem of constructing the holographic dictionary for the AdS$_2$/CFT$_1$ correspondence for higher derivative gravitational actions in AdS$_2$ spacetimes obtained by an $S^2$ reduction of 4-dimensional $\mathcal{N}=2$ Wilsonian effective actions with Weyl squared interactions. We focus on BPS black hole solutions, for which we show how the Wald entropy of these black holes is holographically encoded in the dual CFT. Additionally, using a 2D/3D lift we show that the dual CFT$_1$ is naturally embedded in the chiral half of the CFT$_2$ dual to the AdS$_3$ spacetime.