Corrections to Entropy and Extremality

This lecture by the instructor explores corrections to entropy and extremality at fixed charge in the context of black hole physics. The presentation covers the ideal gas example, recent findings in black hole physics, a simple thermodynamic argument, and connections to the Weak Gravity Conjecture. The speaker discusses the implications of corrections to entropy and extremality, providing evidence for a new interpretation of the Weak Gravity Conjecture. Through technical and heuristic arguments, the lecture demonstrates the generic nature of the relationship between corrections to extremality and entropy. The talk concludes by highlighting the significance of the universal thermodynamic explanation and its broader applications in theoretical physics.