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We look to understand the possibilities and limits of quantum information processing, and how an information theory perspective can inform theoretical physics. Topics covered include: entanglement, tools for measuring nearness of quantum states, characterizing the most general possible quantum operations, entropy and measuring information, the stabilizer formalism, quantum error-correcting codes, the theory of computation, quantum algorithms, classical and quantum complexity.

This course in Cosmology provides a theoretical overview of the standard cosmological model. Key topics include the FRW metric and the homogeneous universe, the thermal history of the universe, inflation and scalar field dynamics, along with selected aspects of cosmological perturbation theory time permitting.

This course will introduce some advanced topics in general relativity related to describing gravity in the strong field and dynamical regime. Topics covered include properties of spinning black holes, black hole thermodynamics and energy extraction, how to define horizons in a dynamical setting, formulations of the Einstein equations as constraint and evolution equations, and gravitational waves and how they are sourced.

This course introduces Scientific Machine Learning, beginning with an overview of traditional and modern machine learning methods illustrated with examples from physics. It then transitions to physics-informed approaches, where physical laws, symmetries, and mechanistic models are embedded into learning frameworks. Tutorials and assignments will emphasize developing programming skills in Python.

This course will be an introduction to world-sheet and space-time aspects of topological strings. Topics that will be discussed include: the world-sheet formulation of both the A and B model topological strings, axiomatics of topological string theories, categories of branes, string field theory, the relation to the physical string; and dualities.

Location & Building Access: Alice Room, 3rd Floor, Perimeter Institute, 31 Caroline St N, Waterloo *Note On Thursday January 29 lecture will take place in the Time Room, 2nd Floor.

Zoom Link: https://pitp.zoom.us/j/99324374767?pwd=mUq9s15pbrgalwk5ILqLPOcvNcdXxV.1

Participants who do not have an access card for Perimeter Institute must sign in at the security desk before each session. For information on parking or accessibility please contact [email protected].

We will study topics in theoretical physics through the lens of differential geometry and algebraic topology. The topics will be chosen among the following: differential forms on manifolds, homology, homotopy, de Rham cohomology, gauge theory and principal fiber bundles, nonperturbative effects and topology, characteristic classes, basics of solitons (ex: why is the instanton number a number?), index theorems, introduction to anomalies.