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Why Are Siegel Modular Forms Relevant for Black Hole Physics?

International Centre for Theoretical Sciences via YouTube

Overview

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Explore the fascinating connection between advanced mathematical structures and theoretical physics in this conference talk that examines how Siegel modular forms apply to black hole physics. Delve into the mathematical framework that bridges number theory and cosmological phenomena, as presented by renowned physicist Ashoke Sen. Learn about the specific properties of Siegel modular forms that make them particularly relevant for understanding black hole behavior and thermodynamics. Discover how these sophisticated mathematical tools contribute to our comprehension of fundamental physics, including their role in analyzing black hole entropy, partition functions, and quantum gravitational effects. Gain insights into the interdisciplinary nature of modern theoretical physics, where abstract mathematical concepts like modular forms provide crucial tools for understanding some of the universe's most extreme objects. Understand the broader context of how harmonic Maass forms and mock modular forms have revolutionized approaches to both pure mathematics and theoretical physics applications.

Syllabus

Why Are Siegel Modular Forms Relevant for Black Hole Physics? by Ashoke Sen

Taught by

International Centre for Theoretical Sciences

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