Geometric approaches to the thermodynamics of black holes
Christine Gruber, Orlando Luongo, Hernando Quevedo

TL;DR
This paper reviews geometric methods for understanding black hole thermodynamics, summarizing various approaches and presentations from a scientific conference session held in 2015.
Contribution
It provides a comprehensive overview of differential geometric techniques applied to black hole thermodynamics and summarizes recent research discussions from a major scientific meeting.
Findings
Different geometric approaches to black hole thermodynamics are discussed.
Summaries of recent research presentations are provided.
The session highlights ongoing developments in the field.
Abstract
In this summary, we present the main topics of the talks presented in the parallel session "Black holes - 5" of the 14th Marcel Grossmann Meeting held in Rome, Italy in July 2015. We first present a short review of the main approaches used to understand thermodynamics by using differential geometry. Then, we present a brief summary of each presentation, including some general remarks and comments.
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